...

^ H k "

by user

on
Category: Documents
51

views

Report

Comments

Transcript

^ H k "
^
H
k
k
"
k
k
;
h
&
v
k
p
k
j
*
d
{
k
k
n
l
o
h
a
[
k
.
M
(
d
)
O
;
k
d
j
.
k
o
v
u
qç
;
k
sx
f
u
n
sZ'
k
%
f
u
E
u
f
y
f
[
k
r
ç
'
u
k
sa o
sQ
m
f
p
r
f
o
d
Y
i
p
qf
u
,
&
1
-l
aK
k
d
k
l
g
h
f
o
d
Y
i
g
S&
(
d
)
e
Sa
(
[
k
)
?
k
k
sM
+k
(
x
)
l
qan
j
(
?
k
)
c
g
qr
2
-H
k
k
o
o
k
p
d
l
aK
k
&
(
d
)
y
k
sg
k
(
[
k
)
'
k
g
j
(
x
)
u
k
j
h
R
o
(
?
k
)
j
e
s'
k
3
-f
d
l
f
o
d
Y
i
e
sa H
k
k
o
o
k
p
d
l
aK
k
,
¡u
g
h
ag
Sa\
(
d
)
v
P
N
k
b
Z]
m
i
;
k
sx
h
]
o
`Q
f
=
k
e
r
k(
[
k
)
e
k
r
`R
o
]
x
aH
k
h
j
r
k
]
o
k
R
l
Y
;
(
x
)
y
x
k
o
]
F
k
d
k
u
]
g
k
j
(
?
k
)
o
h
j
r
k
]
i
j
r
a=
k
r
k
]
n
`"
V
r
k
4
-l
o
Zu
k
e
d
k
m
f
p
r
f
o
d
Y
i
&
(
d
)
f
g
e
k
y
;
l
s
(
[
k
)
v
P
N
k
g
k
s
(
x
)
v
k
i
g
h
(
?
k
)
d
k
sb
Zv
U
;
5
-H
k
h
M
+'
k
C
n
o
p
u
g
S&
(
d
)
c
g
qo
p
u
(
[
k
)
,
d
o
p
u
(
x
)
f
}
o
p
u
(
?
k
)
b
u
e
sa l
sd
k
sb
Zu
g
h
a
6
-l
o
Zu
k
e
^
o
g
*
o
sQ
ç
d
k
j
d
k
m
f
p
r
f
o
d
Y
i
p
qu
k
sA
(
d
)
ç
F
k
e
i
q#
"
k
(
[
k
)
m
Ù
k
e
i
q#
"
k
(
x
)
e
è
;
e
i
q#
"
k
(
?
k
)
v
U
;
i
q#
"
k
7
-v
è
;
k
i
d
N
k
=
k
k
sa d
k
si
<
+k
r
k
g
SA
d
k
j
d
d
k
m
f
p
r
f
o
d
Y
i
&
(
d
)
d
j
.
k
d
k
j
d
(
[
k
)
v
i
k
n
k
u
d
k
j
d
(
x
)
l
ac
a/
d
k
j
d
(
?
k
)
d
e
Zd
k
j
d
8
-o
g
?
k
j
l
sv
k
;
k
A
d
k
j
d
c
r
k
v
k
s&
(
d
)
d
j
.
k
(
[
k
)
v
i
k
n
k
u
(
x
)
l
ac
a/
(
?
k
)
d
e
Z
9
-l
k
/
qo
sQ
f
y
,
H
k
k
st
u
i
j
k
sl
k
x
;
k
A
d
k
j
d
c
r
k
v
k
s&
(
d
)
v
i
k
n
k
u
(
[
k
)
d
e
Z
(
x
)
l
ac
a/
(
?
k
)
l
aç
n
k
u
1
0
-v
k
t
H
k
h
g
f
j
'
p
aæ
k
sa d
h
d
e
h
u
g
h
ag
SA
(
d
)
O
;
f
D
r
o
k
p
d
l
aK
k
(
[
k
)
t
k
f
r
o
k
p
d
l
aK
k
(
x
)
H
k
k
o
o
k
p
d
l
aK
k
(
?
k
)
æ
O
;
o
k
p
d
l
aK
k
1
1
-t
h
H
k
d
k
i
;
k
Z;
u
g
h
ag
S&
(
d
)
r
k
y
q
(
[
k
)
f
t
g
~o
k
(
x
)
j
l
u
k
(
?
k
)
b
y
k
1
2
-d
k
Su
l
k
l
e
wg
^
i
q=
k
*
d
k
m
f
p
r
f
o
d
Y
i
g
S\
(
d
)
c
sV
k
]
r
u
;
]
l
qr
]
v
k
R
e
t
k (
[
k
)
c
sV
k
]
r
u
;
]
r
k
r
]
v
k
R
e
t
(
x
)
c
sV
k
]
r
u
;
]
l
qr
k
]
v
k
R
e
t
(
?
k
)
c
sV
k
]
r
u
;
]
l
qr
]
v
k
R
e
t
1
3
-^
n
so
*
'
k
C
n
d
k
i
;
k
Z;
o
k
p
h
g
S&
(
d
)
l
qj
(
[
k
)
o
qQ
y
n
so
r
k
(
x
)
n
;
k
o
k
u
(
?
k
)
o
qQ
'
k
y
1
4
-e
Sa f
u
j
k
f
e
"
k
u
g
h
aH
k
k
st
u
i
l
an
d
j
r
k
g
w¡A
(
d
)
e
k
¡l
k
g
k
j
h
(
[
k
)
'
k
k
d
k
g
k
j
h
(
x
)
i
Q
y
k
g
k
j
h
(
?
k
)
l
k
f
e
"
k
1
5
-o
qQ
y
&
o
wQ
y
o
sQ
v
F
k
Zd
k
f
o
d
Y
i
g
S&
(
d
)
i
f
j
o
k
j
&
;
k
sx
(
[
k
)
;
k
sx
&
o
a'
k
(
x
)
;
k
sx
&
f
d
u
k
j
k
(
?
k
)
l
a[
;
k
&
f
d
u
k
j
k
1
6
-^
{
k
f
.
k
d
*
d
k
f
o
y
k
se
'
k
C
n
&
(
d
)
l
n
So
(
[
k
)
n
h
?
k
Zd
k
y
h
u
(
x
)
'
k
k
'
o
r
(
?
k
)
v
f
/
d
1
7
-^
#
n
u
*
d
k
f
o
i
j
h
r
k
F
k
Zd
g
k
sr
k
g
SA
(
d
)
O
;
aX
;
(
[
k
)
g
¡l
u
k
(
x
)
g
"
k
Z
(
?
k
)
g
k
L
;
1
8
-v
i
u
sf
o
p
k
j
f
o
L
r
k
j
l
su
f
y
[
k
d
j
e
sa f
y
[
k
saA
(
d
)
f
V
I
i
.
k
h
(
[
k
)
l
a{
k
si
(
x
)
l
af
{
k
I
r
(
?
k
)
y
?
k
q
1
9
-u
wr
u
v
k
Sj
f
o
p
k
j
k
sa d
k
l
a?
k
"
k
Zl
n
k
l
sg
k
sr
k
v
k
;
k
g
SA
(
d
)
u
o
h
u
(
[
k
)
ç
k
p
h
u
(
x
)
i
qj
k
r
u
(
?
k
)
i
qj
k
u
s
2
0
-o
`Q
'
k
d
k
m
f
p
r
f
o
y
k
se
'
k
C
n
&
(
d
)
n
qc
y
k
&
i
r
y
k
(
[
k
)
â
"
V
&
i
q"
V
(
x
)
f
B
x
u
k
&
e
k
sV
k
(
?
k
)
f
o
'
k
k
y
d
k
;
2
1
-^
v
u
~*
m
i
l
x
Zl
s;
qD
r
'
k
C
n
d
k
m
f
p
r
f
o
d
Y
i
&
(
d
)
v
ar
j
k
R
e
k
(
[
k
)
v
u
k
o
j
.
k
(
x
)
v
ar
f
j
{
k
(
?
k
)
v
ar
j
k
Z"
V
ªh
;
2
2
-^
y
k
Sf
d
d
*
e
sa e
wy
'
k
C
n
g
S&
(
d
)
y
k
Sd
(
[
k
)
y
k
sd
(
x
)
y
k
sd
h
(
?
k
)
f
d
d
2
3
-^
i
;
k
Zo
j
.
k
*
e
sa m
i
l
x
Zd
k
f
o
d
Y
i
g
S&
(
d
)
i
f
j
$
v
k
o
j
.
k
(
[
k
)
i
;
k
Z$
v
k
o
j
.
k
(
x
)
i
f
j
$
v
k
$
o
j
.
k
(
?
k
)
i
;
k
Z$
o
j
.
k
2
4
-^
l
ao
sn
u
'
k
h
y
r
k
*
e
sa e
wy
'
k
C
n
o
ç
R
;
;
d
k
l
g
h
f
o
d
Y
i
g
S&
(
d
)
l
ao
sn
u
$
'
k
h
y
r
k
(
[
k
)
l
e
~$
o
sn
u
k
$
'
k
h
y
$
r
k
(
x
)
l
e
~$
o
sn
u
$
'
k
h
y
r
k
(
?
k
)
l
ao
sn
u
$
'
k
h
y
$
r
k
2
5
-^
v
k
g
V
*
ç
R
;
;
d
k
ç
;
k
sx
f
d
l
'
k
C
n
e
sa g
qv
k
g
S\
(
d
)
?
k
c
j
k
g
V
(
[
k
)
c
g
k
o
(
x
)
f
n
[
k
k
o
V
(
?
k
)
c
u
k
o
V
2
6
-^
i
u
*
ç
R
;
;
f
d
l
'
k
C
n
e
sa u
g
h
ag
S\
(
d
)
c
p
i
u
(
[
k
)
;
qo
k
i
u
(
x
)
y
M
+d
i
u
(
?
k
)
N
I
i
u
2
7
-^
b
Z*
ç
R
;
;
f
d
l
'
k
C
n
e
sa u
g
h
ag
S\
(
d
)
v
l
y
h
(
[
k
)
u
d
y
h
(
x
)
l
j
d
k
j
h
(
?
k
)
d
g
k
u
h
2
8
-n
h
f
i
d
k
v
u
sd
d
{
k
k
v
k
sa d
k
si
<
+k
r
h
g
SA
j
s[
k
k
af
d
r
i
n
d
k
m
f
p
r
i
f
j
p
;
&
(
d
)
f
u
f
'
p
r
l
a[
;
k
o
k
p
h
f
o
'
k
s"
k
.
k
(
[
k
)
v
f
u
f
'
p
r
l
a[
;
k
o
k
p
h
f
o
'
k
s"
k
.
k
(
x
)
f
u
f
'
p
r
i
f
j
e
k
.
k
o
k
p
d
f
o
'
k
s"
k
.
k
(
?
k
)
v
f
u
f
'
p
r
i
f
j
e
k
.
k
o
k
p
d
f
o
'
k
s"
k
.
k
2
9
-m
l
d
h
i
l
an
g
e
s'
k
k
c
f
<
+;
k
j
g
r
h
g
SA
&
m
f
p
r
i
n
&
i
f
j
p
;
&
(
d
)
x
q.
k
o
k
p
d
f
o
'
k
s"
k
.
k
]
i
qf
Y
y
ax
]
c
g
qo
p
u
(
[
k
)
x
q.
k
o
k
p
d
f
o
'
k
s"
k
.
k
]
L
=
k
h
f
y
ax
]
,
d
o
p
u
(
x
)
t
k
f
r
o
k
p
d
l
aK
k
]
L
=
k
h
f
y
ax
]
,
d
o
p
u
(
?
k
)
H
k
k
o
o
k
p
d
l
aK
k
]
L
=
k
h
f
y
ax
]
,
d
o
p
u
3
0
-e
sj
k
?
k
j
c
g
qr
l
qan
j
g
S&
m
f
p
r
i
n
&
i
f
j
p
;
&
(
d
)
l
ac
a/
o
k
p
d
l
o
Zu
k
e
]
i
qf
Y
y
ax
]
,
d
o
p
u
(
[
k
)
l
o
Zu
k
e
]
,
d
o
p
u
]
L
=
k
h
f
y
ax
(
x
)
l
k
o
Zu
k
f
e
d
f
o
'
k
s"
k
.
k
]
i
qf
Y
y
ax
]
,
d
o
p
u
(
?
k
)
l
ac
a/
o
k
p
d
l
o
Zu
k
e
]
i
qf
Y
y
ax
]
c
g
qo
p
u
3
1
-d
k
Su
&
l
k
'
k
C
n
f
o
'
k
s"
k
.
k
u
g
h
ag
S\
(
d
)
/
u
(
[
k
)
/
u
h
(
x
)
/
f
u
d
(
?
k
)
/
u
o
k
u
3
2
-o
qQ
N
[
k
k
u
k
n
h
f
t
,
&
^
o
qQ
N
*
D
;
k
g
S\
(
d
)
l
o
Zu
k
e
(
[
k
)
l
aK
k
(
x
)
v
f
u
f
'
p
r
i
f
j
e
k
.
k
o
k
p
d
f
o
'
k
s"
k
.
k
(
?
k
)
f
Ø
;
k
3
3
-l
w;
Zç
f
r
f
n
u
m
x
r
k
g
SA
f
Ø
;
k
&
f
o
'
k
s"
k
.
k
d
k
m
f
p
r
f
o
d
Y
i
&
(
d
)
j
h
f
r
o
k
p
d
(
[
k
)
d
k
y
o
k
p
d
(
x
)
L
F
k
k
u
o
k
p
d
(
?
k
)
i
f
j
e
k
.
k
o
k
p
d
3
4
-v
k
t
r
k
so
"
k
k
Zg
k
sj
g
h
g
SA
(
d
)
j
sr
l
s
(
[
k
)
o
u
l
s
(
x
)
t
k
sj
l
s
(
?
k
)
d
y
l
s
3
5
-o
g
v
p
k
u
d
g
h
v
k
x
b
ZA
f
Ø
;
k
&
f
o
'
k
s"
k
.
k
d
k
m
f
p
r
f
o
d
Y
i
&
(
d
)
L
F
k
k
u
o
k
p
d
(
[
k
)
j
h
f
r
o
k
p
d
(
x
)
d
k
y
o
k
p
d
(
?
k
)
i
f
j
e
k
.
k
o
k
p
d
3
6
-v
d
e
Zd
f
Ø
;
k
d
k
m
f
p
r
f
o
d
Y
i
&
(
d
)
n
h
i
d
u
s?
k
M
+h
[
k
j
h
n
h
A (
[
k
)
i
o
u
l
k
sr
k
g
SA
(
x
)
M
ªk
b
o
j
c
l
p
y
k
j
g
k
g
SA (
?
k
)
u
k
u
h
u
sd
g
k
u
h
l
qu
k
b
ZA
3
7
-c
P
p
k
l
k
sj
g
k
g
SA
f
Ø
;
k
i
n
d
k
f
o
d
Y
i
&
(
d
)
c
P
p
k
(
[
k
)
l
k
s
(
x
)
j
g
k
(
?
k
)
l
k
sj
g
k
g
S
3
8
-l
a;
qD
r
f
Ø
;
k
e
sa A
(
d
)
e
q[
;
f
Ø
;
k
g
k
sr
h
g
SA
(
[
k
)
l
g
k
;
d
f
Ø
;
k
g
k
sr
h
g
SA
(
x
)
e
q[
;
o
l
g
k
;
d
n
k
su
k
sa f
Ø
;
k
,
¡g
k
sr
h
g
SaA
(
?
k
)
e
q[
;
o
l
g
k
;
d
n
k
su
k
sa f
Ø
;
k
,
¡u
g
h
ag
k
sr
h
A
3
9
-^
o
`Q
f
=
k
e
*
'
k
C
n
d
k
m
f
p
r
o
.
k
Zf
o
P
N
sn
&
(
d
)
o
~Q
$
½
$
r
~$
j
~$
b
$
e
~$
v
(
[
k
)
d
$
½
$
r
~$
j
~$
b
Z$
e
~$
v
(
x
)
o
~Q
$
j
$
r
~$
j
~$
b
$
e
~$
v
(
?
k
)
o
~Q
$
j
$
r
$
j
~$
b
$
e
~$
v
4
0
-^
ç
f
l
n
~/
*
'
k
C
n
d
k
m
f
p
r
o
.
k
Zf
o
P
N
sn
&
(
d
)
i
$
j
~$
v
$
l
$
b
$
n
~$
/
~$
v
(
[
k
)
i
~$
j
$
v
$
l
~$
b
Z$
n
~$
/
~$
v
(
x
)
i
$
j
~$
v
$
l
~$
b
Z$
n
~$
/
$
v
(
?
k
)
i
~$
j
~$
v
$
l
~$
b
$
n
~$
/
~$
v
'
k
qn
~/
:
i
d
k
p
;
u
d
h
f
t
,
&
4
1
-(
d
)
v
u
wH
k
wf
r
(
[
k
)
v
u
qH
k
qf
r
(
x
)
v
u
qH
k
wf
r
(
?
k
)
v
u
qH
k
wf
r
4
2
-(
d
)
J
àx
k
j
(
[
k
)
Ük
àx
k
j
(
x
)
f
{
k
zax
k
j
(
?
k
)
{
k
àx
k
j
4
3
-(
d
)
v
k
;
w"
e
r
h
(
[
k
)
v
k
;
q"
e
f
r
(
x
)
v
k
;
q"
e
r
h
(
?
k
)
v
k
;
q'
e
r
h
4
4
-(
d
)
,
d
i
qL
r
d
p
k
f
g
,
x
h
r
k
sa d
h
A
(
[
k
)
i
qL
r
d
p
k
f
g
,
,
d
x
h
r
k
sa d
h
A
(
x
)
x
h
r
k
sa d
h
,
d
i
qL
r
d
p
k
f
g
,
A
(
?
k
)
x
h
r
k
sa d
h
i
qL
r
d
,
d
p
k
f
g
,
A
4
5
-(
d
)
b
l
i
j
g
e
u
sf
o
p
k
j
f
d
;
k
g
SA
(
[
k
)
g
e
u
sb
l
i
j
f
o
p
k
j
f
d
;
k
g
SA
(
x
)
g
e
u
sb
l
d
k
sf
o
p
k
j
f
d
;
k
g
SA
(
?
k
)
g
e
u
sb
l
d
k
sf
o
p
k
j
f
d
;
sg
SaA
[
k
.
M
(
d
)
&
O
;
k
d
j
.
k
o
v
u
qç
;
k
sx
m
Ù
k
j
e
k
y
k
1
-(
[
k
)
?
k
k
sM
+k
2
-(
x
)
u
k
j
h
R
o
3
-(
d
)
v
P
N
k
b
Z]
m
i
;
k
sx
h
]
o
`Q
f
=
k
e
r
k
4
-(
x
)
v
k
i
g
h
5
-(
[
k
)
,
d
o
p
u
6
-(
?
k
)
v
U
;
i
q#
"
k
7
-(
?
k
)
d
e
Zd
k
j
d
8
-(
[
k
)
v
i
k
n
k
u
d
k
j
d
9
-(
?
k
)
l
aç
n
k
u
d
k
j
d
1
0
-(
[
k
)
t
k
f
r
o
k
p
d
l
aK
k
1
1
-(
d
)
r
k
y
q
1
2
-(
?
k
)
c
sV
k
]
r
u
;
]
l
qr
]
v
k
R
e
t
1
3
-(
d
)
l
qj
1
4
-(
?
k
)
l
k
f
e
"
k
1
5
-(
x
)
;
k
sx
&
f
d
u
k
j
k
1
6
-(
x
)
'
k
k
'
o
r
1
7
-(
?
k
)
g
k
L
;
1
8
-(
[
k
)
l
a{
k
si
1
9
-(
x
)
i
qj
k
r
u
2
0
-(
[
k
)
â
"
V
&
i
q"
V
2
1
-(
[
k
)
v
u
k
o
j
.
k
2
2
-(
[
k
)
y
k
sd
2
3
-(
d
)
i
f
j
$
v
k
o
j
.
k
2
4
-(
?
k
)
l
ao
sn
u
$
'
k
h
y
$
r
k
2
5
-(
d
)
?
k
c
j
k
g
V
2
6
-(
?
k
)
N
I
i
u
2
7
-(
?
k
)
d
g
k
u
h
2
8
-(
[
k
)
v
f
u
f
'
p
r
l
a[
;
k
o
k
p
h
f
o
'
k
s"
k
.
k
2
9
-(
?
k
)
H
k
k
o
o
k
p
d
l
aK
k
]
,
d
o
p
u
]
L
=
k
h
f
y
ax
3
0
-(
d
)
l
ac
a/
o
k
p
d
l
o
Zu
k
e
]
i
qf
Y
y
ax
]
,
d
o
p
u
3
1
-(
d
)
/
u
3
2
-(
x
)
v
f
u
f
'
p
r
i
f
j
e
k
.
k
o
k
p
d
f
o
'
k
s"
k
.
k
3
3
-(
[
k
)
d
k
y
o
k
p
d
3
4
-(
?
k
)
t
k
sj
l
s
3
5
-(
[
k
)
j
h
f
r
o
k
p
d
3
6
-(
[
k
)
i
o
u
l
k
sr
k
g
SA
3
7
-(
x
)
l
k
sj
g
k
g
SA
3
8
-(
x
)
e
q[
;
o
l
g
k
;
d
n
k
su
k
sa f
Ø
;
k
,
¡g
k
sr
h
g
SaA
3
9
-(
d
)
o
~Q
$
½
$
r
~$
j
~$
b
$
e
~$
v
4
0
-(
?
k
)
i
~$
j
~$
v
$
l
~$
b
$
n
~$
/
~$
v
4
1
-(
?
k
)
v
u
qH
k
wf
r
4
2
-(
[
k
)
Ük
àx
k
j
4
3
-(
x
)
v
k
;
q"
e
r
h
4
4
-(
x
)
x
h
r
k
sa d
h
,
d
i
qL
r
d
p
k
f
g
,
A
4
5
-(
[
k
)
g
e
u
sb
l
i
j
f
o
p
k
j
f
d
;
k
g
SA
[
k
.
M
(
[
k
)
l
an
H
k
Zx
r
v
k
/
k
k
f
j
r
c
g
qf
o
d
Y
i
h
;
Á
'
u
1
-d
f
o
f
c
g
k
j
h
u
s v
i
u
s n
k
sg
k
sa e
sa x
k
x
j
e
sa l
k
x
j
H
k
j
f
n
;
kg
SA
j
s[
k
k
af
d
r
v
a'
kl
s
v
k
'
k
;
g
Sµ
(
d
)
c
g
qr
d
e
d
g
u
k
(
[
k
)
?
k
M
+s e
sa i
k
u
h
H
k
j
u
k
(
x
)
F
k
k
sM
+s e
sa c
g
qr
d
g
n
su
k
(
?
k
)
c
<
+k
&
p
<
+k
d
j
d
g
u
k
2
-v
k
t
d
y
i
wu
e
g
k
sx
b
Zg
SA
m
f
p
r
f
o
d
Y
i
N
k
°V
k
sA
(
d
)
i
wf
.
k
Ze
k
d
k
p
k
°n
(
[
k
)
n
wt
d
k
p
k
°n
(
x
)
e
u
H
k
k
o
u
p
k
°n
(
?
k
)
b
Zn
d
k
p
k
°n
3
-^
?
k
j
d
h
p
h
t
d
k
v
k
n
j
u
g
h
ag
k
sr
k
*
d
sf
y
,
m
f
p
r
e
qg
k
o
j
k
g
S&
(
d
)
n
k
y
&
H
k
k
r
e
sa e
wl
y
p
an (
[
k
)
v
k
°[
k
d
h
f
d
j
f
d
j
h
(
x
)
?
k
j
d
h
e
qx
h
Zn
k
y
c
j
k
c
j (
?
k
)
d
c
k
c
e
sa g
M
~M
h
4
-^
c
an
j
?
k
qM
+d
h
*
l
sv
k
'
k
;
g
S&
(
d
)
F
k
k
sF
k
h
/
k
e
d
h
(
[
k
)
ÿ
k
s/
k
l
sH
k
j
h
/
k
e
d
h
(
x
)
L
u
sg
l
sd
g
u
k
(
?
k
)
l
ad
sr
k
sa l
sd
g
u
k
5
-m
l
sd
k
sb
ZH
k
h
d
k
;
Zn
k
so
g
V
k
y
e
V
k
sy
d
j
r
k
g
SA
j
s[
k
k
af
d
r
d
k
m
f
p
r
f
o
d
Y
i
&
(
d
)
v
k
°[
k
p
qj
k
u
k
(
[
k
)
L
o
k
F
k
Zf
l
n
~/
k
d
j
u
k
(
x
)
v
x
j
&
e
x
j
d
j
u
k
(
?
k
)
l
c
l
sv
y
x
j
g
u
k
6
-b
l
c
k
j
i
j
h
{
k
k
d
h
r
S;
k
j
h
r
k
s[
k
wc
d
h
g
S]
n
s[
k
sa D
;
k
Q
Sl
y
k
g
k
sr
k
g
S\
j
s[
k
k
af
d
r
v
a'
k
g
sr
qm
f
p
r
f
o
d
Y
i
g
S&
(
d
)
u
k
Su
d
n
u
r
sj
g
m
/
k
k
j
(
[
k
)
n
s[
k
sa ≈
°V
f
d
l
d
j
o
V
c
SB
r
k
g
S
(
x
)
H
k
k
x
r
sp
k
sj
d
h
y
ax
k
sV
h
l
g
h
(
?
k
)
i
j
m
i
n
s'
k
d
q'
k
y
c
g
qr
sj
s
7
-≈
°V
d
se
q°g
e
sa t
h
j
k
d
k
v
F
k
Zg
S&
(
d
)
v
k
o
'
;
d
r
k
l
sc
g
qr
d
e
f
e
y
u
k
A
(
[
k
)
v
H
k
h
c
g
qr
d
k
;
Z'
k
s"
k
g
SA
(
x
)
v
p
k
u
d
y
k
H
k
g
k
su
k
A
(
?
k
)
f
c
u
k
[
k
p
Zf
d
,
v
P
N
k
d
k
e
A
8
-e
Sf
F
k
y
h
'
k
j
.
k
x
qI
r
N
k
sV
h
&
l
h
v
k
;
qe
sa d
f
o
r
k
f
y
[
k
u
sy
x
sF
k
s]
f
Q
j
j
k
"
V
™&
d
f
o
c
u
sA
l
p
g
SA
m
f
p
r
f
o
d
Y
i
N
k
°V
k
sA
(
d
)
l
k
°p
d
k
sv
k
°p
u
g
h
a
(
[
k
)
l
g
t
i
d
sl
k
se
h
B
k
g
k
s;
(
x
)
g
k
su
o
k
j
f
c
j
o
k
u
d
sg
k
sr
p
h
d
u
si
k
r
(
?
k
)
u
k
Sl
k
Sp
wg
s[
k
k
d
sf
c
Y
y
h
g
t
d
k
sp
y
h
9
-^
'
k
r
k
C
n
h
*
'
k
C
n
d
k
f
o
x
zg
o
l
e
k
l
d
k
m
f
p
r
f
o
d
Y
i
p
qf
u
,
&
(
d
)
l
k
Sg
Sa t
k
s'
k
C
n
&
d
e
Z/
k
k
j
;
l
e
k
l
(
[
k
)
l
k
Sv
C
n
k
sa (
o
"
k
k
s±)
d
k
l
e
wg
&
f
}
x
ql
e
k
l
(
x
)
l
k
Sg
Sa v
C
n
f
t
l
e
sa &
c
g
qc
zh
f
g
l
e
k
l
(
?
k
)
l
k
Sv
k
Sj
v
C
n
&
}
a}
l
e
k
l
1
0
-^
g
k
F
k
k
sa g
k
F
k
*
&
f
o
x
zg
o
l
e
k
l
d
k
m
f
p
r
f
o
d
Y
i
N
k
°f
V
,
&
(
d
)
g
k
F
k
k
sa d
k
l
e
wg
&
f
}
x
ql
e
k
l
(
[
k
)
g
k
F
k
d
sf
y
,
g
k
F
k
&
r
R
i
q#
"
k
l
e
k
l
(
x
)
g
k
F
k
g
h
g
k
F
k
e
sa &
v
O
;
;
h
H
k
k
o
l
e
k
l
(
?
k
)
g
k
F
k
v
k
Sj
g
k
F
k
&
}
a}
l
e
k
l
1
1
-v
O
;
;
h
H
k
k
o
l
e
k
l
d
k
m
f
p
r
f
o
d
Y
i
N
k
°f
V
,
&
(
d
)
e
g
k
n
so
(
[
k
)
u
o
x
zg
(
x
)
Ω
.
k
e
qD
r
(
?
k
)
Á
f
r
f
n
u
1
2
-l
R
;
k
x
zg
&
f
o
x
zg
o
l
e
k
l
d
k
m
f
p
r
f
o
d
Y
i
N
k
°f
V
,
&
(
d
)
l
R
;
v
k
Sj
v
k
x
zg
&
}
a}
l
e
k
l
(
[
k
)
l
R
;
d
sf
y
,
v
k
x
zg
&
r
R
i
q#
"
k
l
e
k
l
(
x
)
l
R
;
g
h
l
R
;
e
sa v
k
x
zg
&
v
O
;
;
h
H
k
k
o
l
e
k
l
(
?
k
)
l
R
;
d
k
v
k
x
zg
j
[
k
k
g
k
sf
t
l
u
s&
c
g
qc
zh
f
g
l
e
k
l
1
3
-^
m
P
p
k
j
.
k
*
'
k
C
n
d
sl
af
/
k
f
o
P
N
sn
d
k
m
f
p
r
f
o
d
Y
i
g
S&
(
d
)
m
p
~$
p
k
j
.
k
(
[
k
)
m
p
$
p
j
.
k
(
x
)
m
r
~$
p
k
j
.
k
(
?
k
)
m
r
~$
p
j
.
k
1
4
-^
v
u
q$
,
"
k
.
k
*
e
sa l
af
/
k
d
j
u
si
j
'
k
C
n
d
k
f
o
d
Y
i
g
k
sx
k
&
(
d
)
v
.
o
s"
k
.
k
(
[
k
)
v
u
o
S"
k
.
k
(
x
)
v
U
o
h
{
k
.
k
(
?
k
)
v
U
o
s"
k
.
k
1
5
-^
i
qj
L
d
k
j
*
'
k
C
n
$
l
sf
e
y
d
j
c
u
r
k
g
S&
(
d
)
i
qj
%
$
d
k
j
(
[
k
)
i
qj
l
~$
d
k
j
(
x
)
i
qj
~$
d
k
j
(
?
k
)
i
qj
l
$
d
k
j
1
6
-^
l
aL
d
`f
r
*
'
k
C
n
d
sl
af
/
k
f
o
P
N
sn
d
k
m
f
p
r
f
o
d
Y
i
g
S&
(
d
)
l
%
$
d
`f
r
(
[
k
)
l
e
$
d
`f
r
(
x
)
l
e
~$
d
`f
r
(
?
k
)
l
u
~$
d
`f
r
m
f
p
r
f
o
d
Y
i
N
k
°V
d
j
f
y
f
[
k
,
&
1
7
-^
o
g
u
g
h
ag
°l
r
k
*
o
k
D
;
d
k
H
k
k
o
o
k
P
;
e
sa i
f
j
o
f
r
Zr
:
i
g
k
sx
k
&
(
d
)
m
l
l
sg
°l
k
u
g
h
at
k
r
k
A (
[
k
)
o
g
v
H
k
h
u
g
h
ag
°l
r
k
A
(
x
)
o
g
g
°l
k
g
h
u
g
h
aA
(
?
k
)
o
g
g
°l
u
k
u
g
h
at
k
u
r
k
A
1
8
-^
d
y
k
d
k
j
n
~o
k
j
k
e
wf
r
Zx
<
+h
t
k
r
h
g
SA
*
d
k
d
r
Z̀o
k
P
;
e
sa i
f
j
o
f
r
Zr
:
i
g
k
sx
k
&
(
d
)
d
y
k
d
k
j
u
se
wf
r
Zx
<
+h
A (
[
k
)
d
y
k
d
k
j
e
wf
r
Zx
<
+r
k
g
SA
(
x
)
d
y
k
d
k
j
e
wf
r
Zx
<
+j
g
k
g
SA(
?
k
)
d
y
k
d
k
j
l
se
wf
r
Zx
<
+h
x
b
ZA
1
9
-^
v
c
p
y
k
t
k
,
*
d
r
Z̀o
k
P
p
e
sa i
f
j
o
f
r
Zr
d
h
f
t
,
&
(
d
)
v
c
p
y
k
sA
(
[
k
)
p
y
k
sv
c
p
y
saA
(
x
)
v
c
p
y
saA
(
?
k
)
v
c
g
e
l
sp
y
k
t
k
,
A
2
0
-v
k
t
g
e
sa O
;
k
d
j
.
k
i
<
+k
;
k
x
;
k
A
&
d
r
Z̀o
k
P
;
e
sa i
f
j
o
f
r
Zr
g
k
sd
j
f
o
d
Y
i
g
k
sx
k
&
(
d
)
v
k
t
g
e
sa O
;
k
d
j
.
k
i
<
+k
;
k
x
;
k
A
(
[
k
)
v
k
t
g
e
u
sO
;
k
d
j
.
k
i
<
+k
A
(
x
)
v
k
t
e
q>
sO
;
k
d
j
.
k
i
<
+u
k
g
SA
(
?
k
)
v
k
t
e
q>
l
sO
;
k
d
j
.
k
i
<
+k
x
;
k
A
2
1
-o
"
k
k
Zg
k
sr
h
r
k
sv
u
k
t
i
Sn
k
g
k
sr
k
A
&
o
k
D
;
D
SÁ
d
k
j
d
k
m
f
p
r
f
o
d
Y
i
p
qf
u
,
&
(
d
)
u
d
k
j
k
R
e
d
(
[
k
)
l
ad
sr
o
k
p
d
(
x
)
f
o
/
k
k
u
o
k
p
d
(
?
k
)
b
P
N
k
o
k
p
d
2
2
-c
P
p
se
Sn
k
u
e
sa [
k
sy
j
g
sg
SaA
&
o
k
D
;
e
sa m
n
~n
s'
;
o
f
o
/
k
s;
d
k
m
f
p
r
f
o
d
Y
i
g
S&
(
d
)
c
P
p
se
Sn
k
u
e
sa &
[
k
sy
j
g
sg
SaA
(
[
k
)
c
P
p
se
Sn
k
u
&
e
sa [
k
sy
j
g
sg
SaA
(
x
)
c
P
p
se
Sn
k
u
e
sa [
k
sy
&
j
g
sg
SaA
(
?
k
)
c
P
p
s&
e
Sn
k
u
e
sa [
k
sy
j
g
sg
SaA
2
3
-^
b
P
N
k
o
k
p
d
*
o
k
D
;
d
k
m
f
p
r
f
o
d
Y
i
p
qf
u
,
A
(
d
)
v
k
i
d
h
;
k
=
k
k
'
k
qH
k
g
k
sA (
[
k
)
l
k
j
k
l
k
e
k
u
[
k
j
h
n
y
k
u
k
A
(
x
)
v
c
o
g
d
g
k
°f
e
y
sx
h
\(
?
k
)
m
l
d
h
i
R
u
h
c
g
qr
c
h
e
k
j
F
k
h
A
2
4
-^
t
Sl
k
o
g
i
<
+k
r
h
g
So
Sl
k
d
k
sb
Zu
g
h
ai
<
+k
r
k
A
*
j
s[
k
k
af
d
r
m
i
o
k
D
;
d
k
Á
d
k
j
g
S
(
d
)
f
o
'
k
s"
k
.
k
(
[
k
)
l
aK
k
(
x
)
f
ÿ
;
k
f
o
'
k
s"
k
.
k
(
?
k
)
Á
/
k
k
u
2
5
-^
f
o
'
k
s"
k
.
k
*
m
i
o
k
D
;
l
f
g
r
o
k
D
;
d
k
m
f
p
r
f
o
d
Y
i
p
qf
u
,
A
(
d
)
e
sj
sd
e
j
se
sa ,
d
,
sl
h
?
k
M
+h
g
St
k
sc
g
qr
i
qj
k
u
h
g
SA
(
[
k
)
t
g
k
°e
Sa j
g
r
k
g
w° o
g
k
°v
c
d
k
sb
Zu
g
h
aj
g
r
k
A
(
x
)
e
q>
se
k
y
we
F
k
k
f
d
o
g
u
g
h
av
k
,
x
k
A
(
?
k
)
t
Sl
k
e
Sa p
k
g
r
k
g
w° o
Sl
k
g
h
g
k
sr
k
g
SA
2
6
-^
t
Sl
sg
h
l
o
k
j
h
p
<
+h
]
o
Sl
sg
h
x
k
M
+h
p
y
i
M
+h
A
*
&
;
g
o
k
D
;
g
S&
(
d
)
l
j
y
o
k
D
;
(
[
k
)
f
e
J
o
k
D
;
(
x
)
l
k
/
k
k
j
.
k
o
k
D
;
(
?
k
)
l
a;
qD
r
o
k
D
;
2
7
-f
u
E
u
f
y
f
[
k
r
e
sa l
sl
a;
qD
r
o
k
D
;
N
k
°f
V
,
&
(
d
)
t
Sl
sg
h
c
j
l
k
r
g
qb
Zo
Sl
sg
h
g
e
H
k
k
x
u
sy
x
sA
(
[
k
)
c
j
l
k
r
g
qb
Zv
k
Sj
g
e
H
k
k
x
u
sy
x
sA
(
x
)
D
;
k
saf
d
c
j
l
k
r
g
qb
Zr
k
sg
e
H
k
k
x
u
sy
x
sA
(
?
k
)
c
j
l
k
r
g
k
sr
sg
h
g
e
H
k
k
x
u
sy
x
sA
2
8
-^
^
m
u
l
sd
g
k
sf
d
e
Sa i
qL
r
d
[
k
j
h
n
u
st
k
≈
°x
k
A
*
*
e
sa m
i
o
k
D
;
d
k
Á
d
k
j
g
S&
(
d
)
l
aK
k
m
i
o
k
D
;
(
[
k
)
l
o
Zu
k
e
m
i
o
k
D
;
(
x
)
f
ÿ
;
k
f
o
'
k
s"
k
.
k
m
i
o
k
D
;(
?
k
)
f
o
'
k
s"
k
.
k
m
i
o
k
D
;
2
9
-v
y
ad
k
j
d
se
q[
;
r
%
H
k
sn
g
k
sr
sg
Sa &
m
f
p
r
f
o
d
Y
i
p
qf
u
,
&
(
d
)
n
k
s
(
[
k
)
r
h
u
(
x
)
p
k
j
(
?
k
)
i
k
°p
3
0
-^
t
sr
sr
qe
r
k
j
sr
sr
su
H
k
e
sa u
r
k
j
sg
Sa*
&
d
k
O
;
i
af
D
r
e
sa v
y
ad
k
j
g
S&
(
d
)
v
u
qÁ
k
l
(
[
k
)
'
y
s"
k
(
x
)
;
e
d
(
?
k
)
m
i
e
k
3
1
-^
l
qc
j
u
d
k
s<
w°<
r
f
Q
j
r
]
d
f
o
]
O
;
f
H
k
p
k
j
h
]
p
k
sj
A
*
i
af
D
r
e
sa v
y
ad
k
j
g
S&
(
d
)
'
y
s"
k
(
[
k
)
;
e
d
(
x
)
e
k
u
o
h
d
j
.
k
(
?
k
)
m
R
Á
s{
k
k
3
2
-u
f
n
;
k
°f
t
u
d
h
;
'
k
/
k
j
k
&
l
h
c
g
r
h
g
Sa &
m
f
p
r
f
o
d
Y
i
N
k
°V
k
s&
(
d
)
m
i
e
k
(
[
k
)
v
u
qÁ
k
l
(
x
)
:
i
d
(
?
k
)
m
R
Á
s{
k
k
3
3
-f
d
l
v
y
ad
k
j
e
sa ,
d
'
k
C
n
d
sl
k
F
k
,
d
k
f
/
d
v
F
k
Zt
qM
+s j
g
r
sg
Sa &
(
d
)
m
R
Á
s{
k
k
(
[
k
)
:
i
d
(
x
)
'
y
s"
k
(
?
k
)
;
e
d
3
4
-:
i
d
v
y
ad
k
j
N
k
°f
V
,
&
(
d
)
e
u
d
k
e
u
d
k
Q
sj
A
(
[
k
)
e
S;
k
e
Sa r
k
sp
aÊ
f
[
k
y
k
Su
k
y
Sg
k
saA
(
x
)
f
[
k
y
sg
t
k
j
k
sa p
k
°n
r
qE
g
k
j
su
;
u
k
sa e
saA
(
?
k
)
r
j
f
u
r
u
wt
k
r
V
r
e
k
y
r
:
o
j
c
g
qN
k
,
A
3
5
-t
c
o
.
k
Zd
h
v
k
o
`f
Ÿ
k
H
k
k
"
k
k
e
sa p
e
R
d
k
j
m
R
i
U
u
d
j
sr
c
v
y
ad
k
j
d
g
y
k
r
k
g
SA
(
d
)
i
qu
:
f
D
r
Á
d
k
'
k
v
y
ad
k
j(
[
k
)
;
e
d
(
x
)
'
y
s"
k
(
?
k
)
v
u
qÁ
k
l
3
6
-^
^
o
g
S'
k
C
n
i
qf
u
&
i
qf
u
i
j
Sv
F
k
Zf
H
k
U
u
g
h
f
H
k
U
u
*
*
i
af
D
r
e
sa i
f
j
H
k
k
f
"
k
r
g
S&
(
d
)
;
e
d
v
y
ad
k
j
(
[
k
)
m
i
e
k
v
y
ad
k
j
(
x
)
v
u
qÁ
k
l
v
y
ad
k
j
(
?
k
)
'
y
s"
k
v
y
ad
k
j
3
7
-v
u
qÁ
k
l
v
y
ad
k
j
d
k
f
o
d
Y
i
u
g
h
ag
S&
(
d
)
p
k
:
p
aÊ
d
h
p
ap
y
f
d
j
.
k
sa
(
[
k
)
j
?
k
qi
f
r
j
k
?
k
o
j
k
t
k
j
k
e
(
x
)
d
ad
u
f
d
af
d
u
u
wi
qj
/
qf
u
l
qf
u
(
?
k
)
p
j
.
k
&
d
e
y
c
an
k
Sg
f
j
j
k
b
Z
3
8
-f
d
l
i
af
D
r
e
sa e
k
u
o
h
d
j
.
k
v
y
ad
k
j
u
g
h
ag
S\
(
d
)
l
k
x
j
p
j
.
k
i
[
k
k
j
s]
x
ax
k
'
k
h
'
k
p
<
+k
o
Su
h
j
(
[
k
)
i
sM
+>
qd
>
k
°d
u
sy
x
sx
j
n
u
m
p
d
k
,
(
x
)
l
qo
k
f
l
r
H
k
h
x
h
g
o
k
,
°]
l
n
k
i
k
o
u
e
k
°l
j
h
[
k
h
(
?
k
)
g
Sa d
b
Zi
R
F
k
j
f
d
u
k
j
s]
i
h
j
g
sp
qi
p
k
i
i
k
u
h
3
9
-r
qe
o
g
k
°t
k
d
j
;
g
d
k
e
d
j
k
sx
sA
m
i
;
qD
r
f
o
d
Y
i
p
qu
k
s(
v
O
;
;
)
A
(
d
)
H
k
h
(
[
k
)
r
k
s
(
x
)
g
h
(
?
k
)
t
h
o
u
H
k
j
4
0
-Á
H
k
qd
k
u
k
e
y
su
sl
sd
"
V
n
wj
g
k
st
k
r
sg
SaA
(
d
)
e
k
=
(
[
k
)
H
k
j
(
x
)
g
h
(
?
k
)
r
d
4
1
-g
e
sa v
i
u
h
l
H
;
r
k
l
aL
d
`f
r
i
j
x
o
Zg
SA
(
d
)
;
k
(
[
k
)
v
k
Sj
(
x
)
v
F
k
o
k
(
?
k
)
d
sl
k
F
k
v
u
sd
'
k
C
n
k
sa o
sQ
f
y
,
,
d
'
k
C
n
g
sr
qm
f
p
r
f
o
d
Y
i
p
qf
u
,
&
4
2
-f
t
l
s{
k
e
k
u
f
d
;
k
t
k
l
d
s&
(
d
)
d
k
f
r
y
(
[
k
)
x
qu
g
x
k
j
(
x
)
v
i
j
k
/
k
h
(
?
k
)
v
{
k
E
;
4
3
-t
ax
y
e
sa L
o
;
ay
x
u
so
k
y
h
v
k
x
&
(
d
)
v
f
X
u
(
[
k
)
v
k
g
qf
r
(
x
)
n
k
o
k
f
X
u
(
?
k
)
n
so
k
f
X
u
4
4
-'
k
f
D
r
d
k
m
i
k
l
d
&
(
d
)
'
k
k
D
r
(
[
k
)
f
'
k
o
H
k
D
r
(
x
)
'
k
f
D
r
i
wt
d
(
?
k
)
c
y
'
k
k
y
h
4
5
-t
k
sd
qN
u
d
j
r
k
g
k
s&
(
d
)
v
k
y
l
h
(
[
k
)
v
d
e
Z.
;
(
x
)
d
k
e
p
k
sj
(
?
k
)
y
k
i
j
o
k
g
[
k
.
M
(
[
k
)
&
l
an
H
k
Zx
r
v
k
/
k
k
f
j
r
m
Ÿ
k
j
e
k
y
k
1
-(
x
)
F
k
k
sM
+s e
sa c
g
qr
d
g
n
su
k
2
-(
?
k
)
b
Zn
d
k
p
k
°n
3
-(
x
)
?
k
j
d
h
e
qx
h
Zn
k
y
c
j
k
c
j
4
-(
d
)
F
k
k
sF
k
h
/
k
e
d
h
5
-(
x
)
v
x
j
&
e
x
j
d
j
u
k
6
-(
[
k
)
n
s[
k
sa ≈
°V
f
d
l
d
j
o
V
c
SB
r
k
g
S
7
-(
d
)
v
k
o
'
;
d
r
k
l
sc
g
qr
d
e
f
e
y
u
k
8
-(
x
)
g
k
su
g
k
j
f
c
j
o
k
u
d
sg
k
sr
p
h
d
u
si
k
r
9
-(
[
k
)
l
k
Sv
C
n
k
sa (
o
"
k
k
s±)
d
k
l
e
wg
&
f
}
x
ql
e
k
l
1
0
-(
x
)
g
k
F
k
g
h
g
k
F
k
e
sa &
v
O
;
;
h
H
k
k
o
l
e
k
l
1
1
-(
?
k
)
Á
f
r
f
n
u
1
2
-(
[
k
)
l
R
;
d
sf
y
,
v
k
x
zg
&
r
R
i
q#
"
k
l
e
k
l
1
3
-(
x
)
m
r
~$
p
k
j
.
k
1
4
-(
?
k
)
v
U
o
s"
k
.
k
1
5
-(
d
)
i
qj
%
$
d
k
j
1
6
-(
x
)
l
e
~$
d
`f
r
1
7
-(
d
)
m
l
l
sg
°l
k
u
g
h
at
k
r
k
A
1
8
-(
[
k
)
d
y
k
d
k
j
e
wf
r
Zx
<
+r
k
g
SA
1
9
-(
x
)
v
c
p
y
saA
2
0
-(
[
k
)
v
k
t
g
e
u
sO
;
k
d
j
.
k
i
<
+k
A
2
1
-(
[
k
)
l
ad
sr
o
k
p
d
2
2
-(
?
k
)
c
P
p
s&
e
Sn
k
u
e
sa [
k
sy
j
g
sg
SaA
2
3
-(
d
)
v
k
i
d
h
;
k
=
k
k
'
k
qH
k
g
k
sA
2
4
-(
x
)
f
ÿ
;
k
f
o
'
k
s"
k
.
k
2
5
-(
d
)
e
sj
sd
e
j
se
sa ,
d
,
sl
h
?
k
M
+h
g
St
k
sc
g
qr
i
qj
k
u
h
g
SA
2
6
-(
[
k
)
f
e
J
o
k
D
;
2
7
-(
[
k
)
c
j
l
k
r
g
qb
Zv
k
Sj
g
e
H
k
k
x
u
sy
x
sA
2
8
-(
d
)
l
aK
k
m
i
o
k
D
;
2
9
-(
d
)
n
k
s
3
0
-(
x
)
;
e
d
3
1
-(
d
)
'
y
s"
k
3
2
-(
d
)
m
i
e
k
3
3
-(
x
)
'
y
s"
k
3
4
-(
[
k
)
e
S;
k
e
Sa r
k
sp
aÊ
f
[
k
y
k
Su
k
y
Sg
k
saA
3
5
-(
?
k
)
v
u
qÁ
k
l
3
6
-(
d
)
;
e
d
3
7
-(
?
k
)
p
j
.
k
d
e
y
c
an
k
Sg
f
j
j
k
b
Z
3
8
-(
x
)
l
qo
k
f
l
r
H
k
h
x
h
g
o
k
,
°l
n
k
i
k
o
u
e
k
°l
j
h
[
k
h
3
9
-(
x
)
g
h
4
0
-(
d
)
e
k
=
4
1
-(
[
k
)
v
k
Sj
4
2
-(
?
k
)
v
{
k
E
;
4
3
-(
x
)
n
k
o
k
f
X
u
4
4
-(
?
k
)
'
k
k
D
r
4
5
-(
[
k
)
v
d
e
Z.
;
f
g
U
n
h
H
k
k
"
k
k
&
III Á
k
l
af
x
d
v
k
/
k
k
f
j
r
c
g
qf
o
d
Y
i
h
;
Á
'
u
1
-f
u
n
sZ'
k
&
u
h
p
sf
n
,
x
,
x
|
k
a'
k
d
k
sË
;
k
u
l
si
<
+d
j
m
l
i
j
v
k
/
k
k
f
j
r
Á
n
Ÿ
k
Á
'
u
k
sa d
sm
Ÿ
k
j
f
n
,
x
,
p
k
j
f
o
d
Y
i
k
sa e
sa l
sp
qu
sa &
v
k
R
e
f
o
'
o
k
l
v
k
R
e
'
k
f
D
r
d
h
n
`<
+r
k
v
k
Sj
l
Q
y
r
k
d
k
n
~;
k
sr
d
g
SA
f
t
l
O
;
f
D
r
e
sa ;
g
g
k
sr
k
g
S
o
g
v
o
'
;
≈
°p
k
m
B
r
k
g
Sv
k
Sj
l
Q
y
r
k
Á
k
I
r
d
j
r
k
g
SA
f
c
u
k
n
`<
+v
k
R
e
f
o
'
o
k
l
d
sL
o
k
o
y
ac
u
d
h
Á
o
`f
Ÿ
k
u
g
h
am
R
i
U
u
g
k
sr
h
v
k
Sj
L
o
k
o
y
ac
u
d
sf
c
u
k
d
k
sb
ZH
k
h
v
i
u
k
m
R
F
k
k
u
u
g
h
ad
j
l
d
r
k
A
f
t
u
d
k
sv
i
u
h
d
k
;
Zl
ai
k
n
u
&
'
k
f
D
r
e
sa g
h
f
o
'
o
k
l
u
g
h
ao
g
l
Q
y
r
k
d
k
e
q°g
n
s[
k
l
d
sX
k
k
&
l
an
sg
l
s[
k
k
y
h
u
g
h
aA
;
k
n
j
f
[
k
,
]
v
k
i
v
i
u
h
;
k
sX
;
r
k
i
j
f
t
r
u
k
v
f
o
'
o
k
l
d
j
sax
sf
t
r
u
k
g
h
v
k
i
H
k
;
v
k
Sj
'
k
ad
k
d
k
sv
i
u
s‚
n
;
e
sa L
F
k
k
u
n
sax
s]
m
r
u
sg
h
v
k
i
f
o
t
;
l
s]
l
Q
y
r
k
l
sn
wj
j
g
sax
sA
p
k
g
sv
k
i
d
k
i
F
k
f
d
r
u
k
g
h
d
aV
d
k
d
h
.
k
Zv
k
Sj
v
a/
k
d
k
j
e
;
D
;
k
sa u
g
k
si
j
v
k
i
d
k
sp
k
f
g
,
f
d
v
k
i
v
i
u
sv
k
R
e
f
o
'
o
k
l
d
k
s]
e
k
u
f
l
d
/
k
S;
Zd
k
sf
r
y
k
at
f
y
u
n
saA
v
k
i
d
h
'
k
ad
k
,
°v
k
Sj
H
k
;
n
wl
j
k
sa d
sf
o
'
o
k
l
d
k
sv
f
Ë
k
d
u
"
V
d
j
r
sg
SaA
;
f
n
v
k
i
v
i
u
s&
v
k
i
d
k
si
f
r
r
l
e
>
sax
s]
;
f
n
v
k
i
l
e
>
sax
sf
d
v
k
i
l
k
e
F
;
Zg
h
u
g
Sa]
v
k
i
d
k
d
k
sb
Ze
g
Ÿ
o
u
g
h
a]
r
k
sn
qf
u
;
k
H
k
h
v
k
i
d
k
so
Sl
k
g
h
l
e
>
sx
h
A
o
g
v
k
i
d
h
c
k
r
d
h
]
v
k
i
d
h
v
k
o
k
t
d
h
d
qN
H
k
h
d
h
e
r
u
v
k
°d
sx
h
A
v
k
i
d
k
sl
al
k
j
e
sa ,
sl
k
d
k
sb
Zm
n
k
g
j
.
k
u
g
h
af
e
y
sx
k
f
t
l
u
sv
i
u
sv
k
i
d
k
sr
qP
N
]
g
h
u
v
k
Sj
c
sd
k
e
l
e
>
k
g
k
sv
k
Sj
d
k
sb
Ze
g
k
u
d
k
;
Zf
d
;
k
g
k
sA
(
1
)
v
k
R
e
f
o
'
o
k
l
|
k
sr
d
g
S&
(
d
)
l
k
g
f
l
d
r
k
d
k
(
[
k
)
c
qf
º
e
Ÿ
k
k
d
k
(
x
)
v
k
R
e
'
k
f
D
r
d
h
n
`<
+r
k
d
k (
?
k
)
'
k
k
j
h
f
j
d
c
y
o
Ÿ
k
k
d
k
(
2
)
v
i
u
h
;
k
sX
;
r
k
e
sa v
f
o
'
o
k
l
d
j
u
sd
sn
q"
i
f
j
.
k
k
e
D
;
k
g
k
sr
sg
Sa\
(
d
)
v
l
Q
y
r
k
f
e
y
r
h
g
S
(
[
k
)
H
k
;
m
R
i
U
u
g
k
sr
k
g
S
(
x
)
'
k
ad
k
i
Sn
k
g
k
sr
h
g
S
(
?
k
)
v
f
H
k
e
k
u
n
wj
g
k
sr
k
g
SA
(
3
)
v
i
u
sd
k
sr
qP
N
;
k
g
h
u
e
k
u
u
k
c
qj
k
g
S]
D
;
k
saf
d
(
d
)
y
k
sx
e
g
Ÿ
o
g
h
u
l
e
>
u
sy
x
r
sg
Sa
(
[
k
)
y
k
sd
f
Á
;
r
k
?
k
V
r
h
g
S
(
x
)
d
Ÿ
k
ZO
;
i
wf
r
Zl
aH
k
o
u
g
h
ag
k
sr
h
(
?
k
)
v
k
R
e
f
o
'
o
k
l
d
e
g
k
sr
k
g
S
(
4
)
^
m
R
F
k
k
u
*
d
k
v
F
k
Zg
S&
(
d
)
≈
i
j
t
k
u
k
(
[
k
)
r
j
D
d
h
d
j
u
k
(
x
)
i
h
N
st
k
u
k
(
?
k
)
v
o
u
f
r
d
j
u
k
(
5
)
Á
L
r
qr
x
|
k
a'
k
d
k
m
i
;
qD
r
'
k
h
"
k
Zd
g
S&
(
d
)
v
k
R
e
f
o
'
o
k
l
(
[
k
)
v
/
k
h
j
r
k
(
x
)
v
k
R
e
f
u
an
k
(
?
k
)
v
k
R
e
k
f
H
k
e
k
u
2
-f
u
E
u
f
y
f
[
k
r
x
|
k
a'
k
d
k
sË
;
k
u
i
wo
Zd
i
<
+d
j
i
wN
sx
,
Á
'
u
k
sa d
sl
g
h
m
Ÿ
k
j
o
k
y
sf
o
d
Y
i
p
qu
d
j
f
y
f
[
k
,
&
g
e
k
j
h
c
g
qr
&
l
h
l
e
L
;
k
,
°f
c
u
k
f
o
p
k
j
sd
k
;
Zd
j
u
sd
k
i
f
j
.
k
k
e
g
k
sr
h
g
SaA
f
c
u
k
f
o
p
k
j
sd
k
;
Zd
j
u
s
l
sg
e
l
n
k
f
p
af
r
r
,
o
av
o
l
U
u
g
k
sd
j
v
d
F
k
u
h
;
d
"
V
k
sa l
sv
i
u
st
h
o
u
d
k
sv
f
H
k
i
wf
j
r
d
j
y
sr
s
g
SaA
v
f
o
p
k
f
j
r
d
k
;
Zd
j
d
sg
e
e
u
g
h
e
u
i
N
r
k
r
sj
g
r
sg
Sa f
d
U
r
qm
l
d
k
d
k
sb
Zy
k
H
k
u
g
h
ag
k
sr
k
A
d
H
k
h
&
d
H
k
h
v
f
o
p
k
f
j
r
d
k
;
k
s± d
k
sd
j
u
sl
si
g
y
se
k
u
o
d
H
k
h
;
g
v
u
qH
k
o
g
h
u
g
h
ad
j
r
k
f
d
v
f
o
p
k
f
j
r
d
k
;
Zd
k
n
q"
i
f
j
.
k
k
e
m
l
d
sf
y
,
f
o
u
k
'
k
d
g
k
sl
d
r
k
g
SA
f
o
p
k
j
i
wo
Zd
d
k
;
Zd
j
u
s
o
k
y
k
g
h
;
g
t
k
u
l
d
r
k
g
Sf
d
d
r
ZO
;
D
;
k
g
Sv
k
Sj
v
d
r
ZO
;
D
;
k
g
S\
d
r
ZO
;
&
v
d
r
ZO
;
d
k
f
o
o
sd
j
g
u
sl
sg
h
e
k
u
o
d
e
Zd
sl
k
F
k
K
k
u
;
k
c
qf
º
d
k
e
sy
c
SB
k
r
k
g
Sv
k
Sj
i
f
j
.
k
k
e
L
o
:
i
v
f
o
p
k
f
j
r
d
e
Zd
sf
o
u
k
'
k
d
i
f
j
.
k
k
e
k
sa l
sc
p
t
k
r
k
g
SA
b
l
f
y
,
l
qf
o
p
k
f
j
r
d
e
Zd
j
u
k
g
h
e
k
u
o
d
k
l
o
k
sZR
d
`"
V
d
r
ZO
;
g
SA
b
l
h
d
sv
k
/
k
k
j
i
j
t
h
o
u
d
k
sl
ai
w.
k
Z]
l
c
y
v
k
Sj
Á
H
k
k
o
'
k
k
y
h
c
u
k
;
k
t
k
l
d
r
k
g
SA
(
1
)
v
f
o
p
k
f
j
r
d
k
;
Zd
j
u
sd
sD
;
k
i
f
j
.
k
k
e
g
k
sr
sg
Sa\
(
d
)
e
u
q"
;
l
e
L
;
k
x
zL
r
g
k
st
k
r
k
g
S
(
[
k
)
e
u
q"
;
?
k
c
j
k
t
k
r
k
g
S
(
x
)
g
k
F
k
i
j
g
k
F
k
j
[
k
d
j
c
SB
t
k
r
k
g
S
(
?
k
)
t
h
o
u
l
sH
k
k
x
u
sy
x
r
k
g
S
(
2
)
x
|
k
a'
k
d
sf
y
,
m
i
;
qD
r
'
k
h
"
k
Zd
g
k
sl
d
r
k
g
S&
(
d
)
v
f
o
p
k
f
j
r
d
k
;
Zd
sn
q"
i
f
j
.
k
k
e
(
[
k
)
l
qf
o
p
k
f
j
r
d
k
;
Z
(
x
)
l
qf
o
p
k
f
j
r
d
k
;
Zd
sy
k
H
k
(
?
k
)
l
qf
o
p
k
f
j
r
d
k
;
Zg
h
l
o
ZJ
s"
B
(
3
)
l
qf
o
p
k
f
j
r
d
k
;
Zd
j
u
sl
sD
;
k
&
D
;
k
y
k
H
k
g
k
sl
d
r
sg
Sa\
(
d
)
e
u
q"
;
l
i
Q
y
g
k
sl
d
r
k
g
SA
(
[
k
)
d
r
ZO
;
&
v
d
r
ZO
;
d
h
i
g
p
k
u
l
st
h
o
u
d
k
sl
ai
w.
k
Zc
u
k
l
d
r
k
g
SA
(
x
)
v
i
u
st
h
o
u
d
k
sl
q[
k
e
;
c
u
k
l
d
r
k
g
SA
(
?
k
)
e
u
q"
;
t
h
o
u
H
k
j
l
ar
q"
V
j
g
l
d
r
k
g
SA
(
4
)
v
f
o
p
k
f
j
r
d
e
Zd
sn
q"
i
f
j
.
k
k
e
k
sa l
sd
Sl
sc
p
k
t
k
l
d
r
k
g
S\
(
d
)
f
u
j
ar
j
f
o
p
k
j
'
k
h
y
r
k
l
s
(
[
k
)
n
q"
i
f
j
.
k
k
e
k
sa i
j
f
o
p
k
j
d
j
u
sl
s
(
x
)
K
k
u
v
k
Sj
c
qf
º
d
k
e
sy
c
SB
k
u
sl
s
(
?
k
)
d
r
ZO
;
k
sa d
sÁ
f
r
t
k
x
:
d
j
g
u
sl
s
(
5
)
^
v
o
l
U
u
*
'
k
C
n
d
k
v
F
k
Zg
S&
(
d
)
l
q[
k
h
(
[
k
)
n
q[
k
h
(
x
)
f
u
j
k
'
k
(
?
k
)
H
k
;
H
k
h
r
3
-f
u
E
u
f
y
f
[
k
r
d
k
O
;
k
a'
k
d
k
sË
;
k
u
i
wo
Zd
i
<
+d
j
i
wN
sx
,
Á
'
u
k
sa d
sf
y
,
l
g
h
m
Ÿ
k
j
o
k
y
k
f
o
d
Y
i
p
qu
d
j
f
y
f
[
k
,
&
g
k
j
k
g
w° l
k
Sc
k
j
x
qu
k
g
k
sa l
sy
M
+y
M
+d
j
y
sf
d
u
c
k
j
ac
k
j
y
M
+k
g
w°
e
Sa m
B
&
m
B
d
j
]
b
l
l
se
sj
k
g
j
x
qu
k
g
H
k
h
e
q>
l
sg
k
j
k
e
Sau
sv
i
u
st
h
o
u
d
k
sb
l
r
j
g
m
c
k
j
k
A
M
wc
k
g
w° g
j
j
k
st
f
d
u
k
j
sr
d
v
k
&
v
k
d
j
]
y
sf
d
u
e
Sa g
j
j
k
st
m
x
k
g
w° t
Sl
sf
n
u
d
j
]
b
l
l
se
sj
h
v
l
i
Q
y
r
k
H
k
h
e
q>
l
sg
k
j
h
e
Sau
sv
i
u
h
l
qan
j
r
k
b
l
r
j
g
l
°o
k
j
h
A
(
1
)
d
f
o
v
i
u
sg
j
x
qu
k
g
d
k
sd
Sl
st
h
r
x
;
k
\
(
d
)
f
u
j
ar
j
l
a?
k
"
k
Zd
j
r
sg
q, (
[
k
)
g
f
F
k
;
k
j
k
sa l
sy
M
+r
sg
q,
(
x
)
y
k
sx
k
sa d
k
sM
j
k
&
/
k
e
d
k
d
j(
?
k
)
y
k
sx
k
sa l
sj
k
;
y
sd
j
(
2
)
^
M
wc
k
g
w° g
j
j
k
st
f
d
u
k
j
sr
d
v
k
&
v
k
d
j
*
&
v
a'
k
d
k
v
k
'
k
;
g
S&
(
d
)
u
g
k
r
sl
e
;
i
k
u
h
e
sa M
wc
t
k
u
k
(
[
k
)
m
n
~n
s'
;
Á
k
I
r
u
d
j
i
k
u
k
(
x
)
y
{
;
d
si
k
l
i
g
q°p
d
j
H
k
h
m
l
sÁ
k
I
r
u
d
j
i
k
u
k
(
?
k
)
Á
k
I
r
l
Q
y
r
k
d
k
g
k
F
k
l
sf
[
k
l
d
t
k
u
k
(
3
)
^
y
sf
d
u
e
Sa g
j
j
k
st
m
x
k
g
w° t
Sl
sf
n
u
d
j
*
i
af
D
r
;
k
sa e
sa d
k
Su
&
l
k
v
y
ad
k
j
f
u
f
g
r
g
S&
(
d
)
;
e
d
v
y
ad
k
j
(
[
k
)
'
y
s"
k
v
y
ad
k
j
(
x
)
m
i
e
k
v
y
ad
k
j
(
?
k
)
:
i
d
v
y
ad
k
j
(
4
)
v
ar
e
sa d
f
o
u
sf
d
l
sg
j
k
f
n
;
k
\
(
d
)
d
"
V
n
k
;
h
j
k
sx
k
sa d
k
s
(
[
k
)
t
h
o
u
d
h
v
l
Q
y
r
k
v
k
sa d
k
s
(
x
)
l
qU
n
j
r
k
d
k
s
(
?
k
)
f
n
u
d
j
d
k
s
(
5
)
b
l
d
f
o
r
k
d
k
e
q[
;
l
an
s'
k
g
S&
(
d
)
f
u
j
k
'
k
k
o
k
n
h
c
u
u
k
(
[
k
)
v
k
'
k
k
o
k
n
h
c
u
u
k
(
x
)
n
s'
k
H
k
D
r
c
u
u
k
(
?
k
)
v
k
y
l
h
c
u
u
k
4
-f
u
n
sZ'
k
&
u
h
p
sf
n
,
x
,
x
|
k
a'
k
d
k
sË
;
k
u
l
si
<
+d
j
m
l
i
j
v
k
/
k
f
j
r
f
n
,
x
,
Á
'
u
k
sa d
sm
Ÿ
k
j
f
n
,
x
,
p
k
j
f
o
d
Y
i
k
sa e
sa l
sp
qu
sa &
t
c
d
k
sb
Z;
qo
k
v
i
u
s?
k
j
l
sc
k
g
j
f
u
d
y
r
k
g
Sr
k
si
g
y
h
d
f
B
u
k
b
Zm
l
sf
e
=
p
qu
u
se
sa i
M
+r
h
g
SA
;
f
n
m
l
d
h
f
L
F
k
f
r
f
c
Y
d
qy
,
d
k
ar
v
k
Sj
f
u
j
k
y
h
u
g
h
aj
g
r
h
r
k
sm
l
d
h
t
k
u
&
i
g
p
k
u
d
sy
k
sx
/
k
M
+k
/
k
M
+
c
<
+r
st
k
r
sg
Sa v
k
Sj
F
k
k
sM
+s g
h
f
n
u
k
sa e
sa d
qN
y
k
sx
k
sa l
sm
l
d
k
g
sy
&
e
sy
c
<
+r
s&
c
<
+r
sf
e
=
r
k
d
s:
i
e
sa
i
f
j
.
k
r
g
k
st
k
r
k
g
SA
f
e
=
k
sa d
sp
qu
k
o
d
h
m
i
;
qD
r
r
k
i
j
m
l
d
st
h
o
u
d
h
l
Q
y
r
k
f
u
H
k
Zj
g
k
st
k
r
h
g
SD
;
k
saf
d
l
ax
f
r
d
k
x
qI
r
Á
H
k
k
o
g
e
k
j
sv
k
p
j
.
k
i
j
c
M
+k
H
k
k
j
h
i
M
+r
k
g
SA
g
e
y
k
sx
,
sl
sl
e
;
e
sa
l
e
k
t
e
sa Á
o
s'
k
d
j
d
sv
i
u
k
d
k
;
Zv
k
j
E
H
k
d
j
r
sg
Sa]
t
c
f
d
g
e
k
j
k
f
p
Ÿ
k
d
k
se
y
v
k
Sj
g
j
r
j
g
d
k
l
aL
d
k
j
x
zg
.
k
d
j
u
s;
k
sX
;
j
g
r
k
g
SA
g
e
k
j
sH
k
k
o
v
i
f
j
e
k
f
t
Zr
v
k
Sj
g
e
k
j
h
Á
o
`f
Ÿ
k
v
i
f
j
i
D
o
j
g
r
h
g
S]
g
e
y
k
sx
d
P
p
h
f
e
V
~V
h
d
h
e
wf
r
Zd
sl
e
k
u
j
g
r
sg
Sa]
f
t
l
st
k
sf
t
l
:
i
e
sa]
m
l
:
i
e
sa <
k
y
s&
p
k
g
sj
k
{
k
l
c
u
k
,
p
k
g
sn
so
r
k
A
(
1
)
?
k
j
l
sf
u
d
y
u
si
j
f
d
l
h
;
qo
k
d
h
i
g
y
h
d
f
B
u
k
b
ZD
;
k
g
k
sr
h
g
S\
(
d
)
[
k
k
u
&
i
k
u
d
h
(
[
k
)
f
e
=
p
qu
u
k
(
x
)
j
g
u
sd
k
s?
k
j
(
?
k
)
/
k
u
d
h
d
e
h
(
2
)
g
sy
&
e
sy
c
<
+r
s&
c
<
+r
sf
d
l
:
i
e
sa i
f
j
.
k
r
g
k
st
k
r
k
g
S\
(
d
)
t
k
u
&
i
g
p
k
u
d
s:
i
e
sa
(
[
k
)
'
k
=
qr
k
d
s:
i
e
sa
(
x
)
l
i
Q
y
r
k
o
sQ
:
i
e
sa
(
?
k
)
f
e
=
r
k
d
s:
i
e
sa
(
3
)
g
e
k
j
sv
k
p
j
.
k
i
j
f
d
l
d
k
H
k
k
j
h
Á
H
k
k
o
i
M
+r
k
g
S\
(
d
)
l
ax
f
r
d
k
(
[
k
)
l
e
k
t
d
k
(
x
)
f
e
=
k
sa d
k
(
?
k
)
l
ac
af
/
k
;
k
sa d
k
(
4
)
f
d
l
v
o
L
F
k
k
e
sa g
e
k
j
sH
k
k
o
v
i
f
j
e
k
f
t
Zr
v
k
Sj
g
e
k
j
h
Á
o
`f
Ÿ
k
v
i
f
j
i
D
o
j
g
r
h
g
S\
(
d
)
c
k
Y
;
k
o
L
F
k
k
e
sa
(
[
k
)
o
`º
k
o
L
F
k
k
e
sa
(
x
)
;
qo
k
o
L
F
k
k
e
sa
(
?
k
)
;
qo
k
e
sa
5
-f
u
n
sZ'
k
&
f
u
E
u
f
y
f
[
k
r
d
k
O
;
k
a'
k
d
k
sË
;
k
u
i
wo
Zd
i
<
+d
j
i
wN
sx
,
Á
'
u
k
sa d
sf
y
,
l
g
h
m
Ÿ
k
j
o
k
y
k
f
o
d
Y
i
p
qu
d
j
f
y
f
[
k
,
&
o
g
i
k
o
l
d
k
Á
F
k
e
f
n
o
l
t
c
]
i
g
y
h
c
w°n
/
k
j
k
i
j
v
k
b
ZA
v
ad
qj
Q
wV
i
M
+k
/
k
j
r
h
l
s]
u
o
&
t
h
o
u
d
h
y
sv
°x
M
+k
b
ZA
/
k
j
r
h
d
sl
w[
k
sv
/
k
j
k
sa i
j
]
f
x
j
h
c
w°n
v
e
`r
&
l
h
v
k
d
j
A
o
l
qU
/
k
j
k
d
h
j
k
se
k
o
y
h
&
l
h
]
g
j
h
n
wc
i
qy
d
h
&
e
ql
d
k
b
ZA
i
g
y
h
c
w°n
/
k
j
k
i
j
v
k
b
ZA
v
k
l
e
k
u
e
sa m
M
+r
k
l
k
x
j
]
y
x
k
f
c
t
f
y
;
k
sa d
sL
o
f
.
k
Ze
i
j
A
c
t
k
u
x
k
M
+s t
x
k
j
g
sg
Sa]
c
k
n
y
/
j
r
h
d
h
r
:
.
k
k
b
ZA
i
g
y
h
c
w°n
/
j
k
i
j
v
k
b
ZA
(
1
)
Á
L
r
qr
d
k
O
;
k
a'
k
e
sa f
d
l
Ω
r
qd
k
o
.
k
Zu
g
S\
(
d
)
x
e
h
Zd
k
(
[
k
)
o
"
k
k
ZΩ
r
qd
k
(
x
)
l
n
h
Zd
k
(
?
k
)
'
k
h
r
Ω
r
qd
k
(
2
)
o
"
k
k
Zd
h
i
g
y
h
c
w°n
d
h
c
h
t
i
j
D
;
k
Á
f
r
f
ÿ
;
k
g
qb
Z\
(
d
)
c
h
t
l
sv
ad
qj
wQ
wV
i
M
+k
(
[
k
)
c
h
t
/
k
j
r
h
e
sa n
c
x
,
(
x
)
c
h
t
l
M
+x
,
(
?
k
)
b
u
e
sa l
sd
k
sb
Zu
g
h
a
(
3
)
^
v
k
l
e
k
u
e
sa m
M
+r
k
l
k
x
j
*
d
k
v
F
k
ZL
i
"
V
d
h
f
t
,
A
(
d
)
t
e
h
u
l
sv
k
l
e
k
u
r
d
l
k
x
j
d
h
y
g
j
sa m
B
j
g
h
g
SaA
(
[
k
)
l
k
x
j
i
a[
k
y
x
k
d
j
m
M
+j
g
k
g
SA
(
x
)
v
k
l
e
k
u
u
sl
k
x
j
d
k
s≈
i
j
c
qy
k
f
y
;
k
g
SA
(
?
k
)
v
k
l
e
k
u
l
s?
k
u
?
k
k
sj
o
"
k
k
Zg
k
sj
g
h
g
SA
(
4
)
/
k
j
r
h
d
h
r
:
.
k
k
b
Zd
k
Su
t
x
k
j
g
k
g
S\
(
d
)
g
j
h
n
wc
(
[
k
)
c
k
n
y
(
x
)
l
k
x
j
(
?
k
)
v
ad
qj
(
5
)
^
f
x
j
h
c
w°n
v
e
`r
l
h
v
k
d
j
*
e
sa d
k
Su
&
l
k
v
y
ad
k
j
g
S\
(
d
)
:
i
d
(
[
k
)
m
R
Á
s{
k
k
(
x
)
m
i
e
k
(
?
k
)
;
e
d
6
-f
u
n
sZ'
k
&
f
u
E
u
f
y
f
[
k
r
x
|
k
a'
k
d
k
sË
;
k
u
l
si
<
+d
j
m
l
i
j
v
k
/
k
k
f
j
r
Á
n
Ÿ
k
Á
'
u
k
sa d
sf
y
,
m
Ÿ
k
j
f
n
,
x
,
p
k
j
f
o
d
Y
i
k
sa e
sa l
sp
qu
sa &
l
k
g
l
d
h
f
t
an
x
h
l
c
l
sc
M
+h
f
t
an
x
h
g
k
sr
h
g
SA
,
sl
h
f
t
an
x
h
d
h
l
c
l
sc
M
+h
i
g
p
k
u
;
g
g
Sf
d
o
g
f
c
Y
d
qy
f
u
M
j
]
f
c
Y
d
qy
c
s[
k
k
SQ
g
k
sr
h
g
SA
l
k
g
l
h
e
u
q"
;
d
h
i
g
y
h
i
g
p
k
u
;
g
g
Sf
d
o
g
b
l
c
k
r
d
h
f
p
ar
k
u
g
h
ad
j
r
k
f
d
r
e
k
'
k
k
n
s[
k
u
so
k
y
sy
k
sx
m
l
d
sc
k
j
se
sa D
;
k
l
k
sp
j
g
sg
SaA
t
u
e
r
d
h
m
i
s{
k
k
d
j
d
st
h
u
so
k
y
k
v
k
n
e
h
n
qf
u
;
k
d
h
v
l
y
h
r
k
d
r
g
k
sr
k
g
Sv
k
Sj
e
u
q"
;
r
k
d
k
sÁ
d
k
'
k
H
k
h
m
l
h
v
k
n
e
h
l
sf
e
y
r
k
g
SA
v
M
+k
sl
&
i
M
+k
sl
d
k
sn
s[
k
d
j
p
y
u
k
]
;
g
l
k
/
k
k
j
.
k
t
h
o
d
k
d
k
e
g
SA
ÿ
k
af
r
d
j
u
so
k
y
sy
k
sx
v
i
u
sm
n
~n
s'
;
d
h
r
qy
u
k
u
r
k
si
M
+k
sl
h
d
sm
n
~n
s'
;
l
sd
j
r
sg
Sa v
k
Sj
u
v
i
u
h
p
k
y
d
k
sg
h
i
M
+k
sl
h
d
h
p
k
y
n
s[
k
d
j
e
n
~f
/
k
e
c
u
k
r
sg
SaA
l
k
g
l
h
e
u
q"
;
m
u
l
i
u
k
sa e
sa H
k
h
j
l
y
sr
k
g
Sf
t
u
l
i
u
k
sa d
k
d
k
sb
ZO
;
k
o
g
k
f
j
d
v
F
k
Zu
g
h
ag
SA
(
1
)
y
s[
k
d
d
sv
u
ql
k
j
f
d
l
Á
d
k
j
d
h
f
t
an
x
h
l
c
l
sc
M
+h
f
t
an
x
h
d
g
h
t
k
r
h
g
S\
(
d
)
l
e
>
k
Sr
k
o
k
n
h
f
t
an
x
h
(
[
k
)
v
o
l
j
o
k
n
h
f
t
an
x
h
(
x
)
l
k
n
x
h
i
w.
k
Zf
t
an
x
h
(
?
k
)
l
k
g
l
d
h
f
t
an
x
h
(
2
)
l
k
g
l
h
e
u
q"
;
d
h
i
g
y
h
i
g
p
k
u
;
g
g
Sf
d
&
(
d
)
l
n
k
v
k
x
sc
<
+r
k
t
k
r
k
g
SA (
[
k
)
c
k
/
k
k
v
k
sa l
su
g
h
a?
k
c
j
k
r
k
g
SA
(
x
)
f
c
Y
d
qy
y
k
i
j
o
k
g
g
k
sr
k
g
SA
(
?
k
)
y
k
sx
k
sa d
h
l
k
sp
d
h
i
j
o
k
g
u
g
h
ad
j
r
k
A
(
3
)
^
f
u
M
j
*
'
k
C
n
e
sa d
k
Su
&
l
k
l
e
k
l
g
S\
(
d
)
v
O
;
;
h
H
k
k
o
l
e
k
l (
[
k
)
}
U
}
l
e
k
l
(
x
)
f
}
x
ql
e
k
l
(
?
k
)
c
g
qc
zh
f
g
l
e
k
l
(
4
)
n
qf
u
;
k
d
h
v
l
y
h
r
k
d
r
f
d
l
Á
d
k
j
d
sy
k
sx
g
k
sr
sg
Sa\
(
d
)
t
u
e
r
d
h
m
i
s{
k
k
d
j
d
st
h
u
so
k
y
sA
(
[
k
)
l
c
y
k
sx
k
sa d
h
l
y
k
g
e
k
u
u
so
k
y
sA
(
x
)
e
u
q"
;
r
k
d
k
se
g
Ÿ
o
n
su
so
k
y
sA
(
?
k
)
i
M
+k
sl
h
d
h
c
k
r
f
l
j
>
qd
k
d
j
e
k
u
u
so
k
y
sA
(
5
)
l
k
g
l
h
e
u
q"
;
f
d
l
Á
d
k
j
d
sl
i
u
k
sa e
sa H
k
h
j
l
y
sr
k
g
S\
(
d
)
f
t
u
l
i
u
k
sa d
k
d
k
sb
ZO
;
k
o
g
k
f
j
d
v
F
k
Zu
g
h
ag
k
sr
k
A
(
[
k
)
f
t
u
l
i
u
k
sa e
sa o
k
L
r
f
o
d
r
k
g
k
sr
h
g
SA
(
x
)
t
k
sl
i
u
sj
l
i
w.
k
Zg
k
sr
sg
SaA
(
?
k
)
t
k
sl
i
u
sl
k
d
k
j
g
k
sr
sg
SaA
7
-f
u
n
sZ'
k
&
u
h
p
sf
n
,
x
,
x
|
k
a'
k
e
sa l
sd
qN
'
k
C
n
f
u
d
k
y
f
n
,
x
,
g
SaA
;
s'
k
C
n
Á
R
;
sd
f
j
D
r
L
F
k
k
u
d
s
f
y
,
f
n
,
x
,
f
o
d
Y
i
k
sa e
sa '
k
k
f
e
y
g
SaA
x
|
k
a'
k
d
k
si
f
<
+,
v
k
Sj
f
n
,
x
,
f
o
d
Y
i
k
sa e
sa l
sm
f
p
r
f
o
d
Y
i
p
qf
u
,
&
e
k
u
o
Á
d
`f
r
d
k (
1
)v
ax
g
SA
i
j
;
g
n
qH
k
k
ZX
;
i
w.
k
Z f
L
F
k
f
r
g
S f
d
e
k
u
o
(
2
)
l
sn
wj
g
k
sr
k
p
y
k
t
k
j
g
k
g
SA
e
k
u
o
v
i
u
sL
o
k
F
k
Zd
k
si
wj
k
d
j
u
sd
sf
y
,
Á
d
`f
r
l
s
(
3
)
N
sM
+N
k
M
+d
j
r
k
j
g
k
g
SA
X
y
k
sc
y
(
4
)
b
l
h
d
k
i
f
j
.
k
k
e
g
SA
g
e
sa ;
g
;
k
n
j
[
k
u
k
g
k
sx
k
f
d
Á
d
`f
r
d
h
j
{
k
k
l
sg
h
e
k
u
o
d
h
j
{
k
k(
5
)
g
SA
(
1
)
(
d
)
f
H
k
U
u
(
[
k
)
v
f
H
k
U
u
(
x
)
f
o
f
H
k
U
u
(
?
k
)
v
y
x
(
2
)
(
d
)
l
e
k
t
(
[
k
)
Á
d
`f
r
(
x
)
f
o
/
k
k
r
k
(
?
k
)
f
u
;
f
r
(
3
)
(
d
)
c
g
qr
(
[
k
)
d
qN
(
x
)
F
k
k
sM
+h
(
?
k
)
d
e
(
4
)
(
d
)
D
y
h
f
u
ax
(
[
k
)
d
wf
y
ax
(
x
)
o
k
f
e
±x
(
?
k
)
p
k
f
e
±x
(
5
)
(
d
)
l
aH
k
o
(
[
k
)
v
l
aH
k
o
(
x
)
x
f
r
e
k
u
g
S
(
?
k
)
x
f
r
e
k
u
u
g
h
a
8
-f
u
E
u
f
y
f
[
k
r
d
k
O
;
k
a'
k
d
k
sË
;
k
u
i
wo
Zd
i
<
+d
j
i
wN
sx
,
Á
'
u
k
sa d
sl
g
h
m
Ÿ
k
j
o
k
y
sf
o
d
Y
i
p
qu
d
j
f
y
f
[
k
,
&
l
q[
k
v
k
Sj
'
k
k
sd
v
a/
k
d
k
j
v
k
Sj
v
k
y
k
sd
e
k
sg
v
k
Sj
e
R
l
j
'
k
k
af
r
v
k
Sj
l
a?
k
"
k
Z
v
k
r
s&
v
k
r
sc
u
sj
g
sa r
k
sv
k
n
e
h
d
k
sy
x
r
k
g
S
o
g
t
h
j
g
k
g
Sv
H
k
h
]
t
c
l
si
Sn
k
g
qv
k
g
So
g
e
a'
k
k
,
°b
l
h
r
j
g
m
/
k
sM
+j
g
k
g
S]
l
h
j
g
k
g
S
v
k
Sj
b
l
h
e
sa j
e
k
g
qv
k
g
Sd
H
k
h
l
q[
k
l
s,
d
g
k
sr
k
g
S
d
H
k
h
'
k
k
sd
l
sd
H
k
h
v
a/
k
d
k
j
l
sd
H
k
h
v
k
y
k
sd
l
s
x
f
r
v
k
Sj
n
qx
Zf
r
b
l
h
f
y
,
m
l
d
si
k
°o
k
sa e
sa g
S
v
k
Sj
v
&
x
f
r
v
x
j
d
g
h
ag
Sr
k
sf
l
Q
Z
m
l
d
s?
k
k
o
k
sa e
sa g
S'
k
q:
l
sv
c
r
d
o
sg
j
sg
Sa t
Sl
sd
sr
Sl
sA
(
1
)
d
f
o
u
sv
k
n
e
h
d
st
h
u
sd
k
v
k
/
k
j
f
d
l
d
k
se
k
u
k
g
S\
(
d
)
l
a?
k
"
k
Zd
j
u
sd
h
Á
o
`f
Ÿ
k
(
[
k
)
l
q[
k
&
n
q[
k
l
g
u
d
j
u
k
(
x
)
v
a/
k
sj
sv
k
Sj
Á
d
k
'
k
e
sa t
h
u
sd
h
d
k
e
u
k
(
?
k
)
b
u
e
sa l
sd
k
sb
Zu
g
h
a
(
2
)
i
Sn
k
g
k
su
sd
sc
k
n
b
al
k
u
f
d
l
m
/
k
sM
+c
qu
e
sa t
h
f
o
r
j
g
r
k
g
S\
(
d
)
i
Sl
k
d
e
k
u
se
sa
(
[
k
)
b
T
t
r
d
e
k
u
se
sa
(
x
)
d
k
e
u
k
v
k
sa d
h
i
wf
r
Zd
j
u
se
sa
(
?
k
)
b
P
N
k
v
k
sa d
k
sc
<
+k
o
k
n
su
se
sa
(
3
)
^
x
f
r
v
k
Sj
n
qx
Zf
r
b
l
h
f
y
,
m
l
d
si
k
°o
k
sa e
sa g
S*
d
F
k
u
d
k
H
k
k
o
L
i
"
V
d
h
f
t
,
A
(
d
)
e
u
q"
;
d
k
l
a?
k
"
k
Zd
j
u
k
(
[
k
)
e
u
q"
;
d
h
l
Q
y
r
k
v
k
Sj
v
l
Q
y
r
k
v
k
sa l
s
(
x
)
e
u
q"
;
d
sd
k
e
d
j
u
sd
k
<
ax
(
?
k
)
e
u
q"
;
d
h
v
u
qd
wy
o
Á
f
r
d
wy
i
f
j
f
L
F
k
f
r
;
k
°
(
4
)
^
?
k
k
o
k
sa d
sg
j
sg
k
su
s*
l
sd
f
o
d
k
D
;
k
r
k
R
i
;
Zg
S\
(
d
)
v
l
Q
y
r
k
f
e
y
u
si
j
(
[
k
)
l
a?
k
"
k
Zd
j
u
si
j
l
Q
y
r
k
u
f
e
y
u
k
(
x
)
v
l
Q
y
r
k
d
h
;
k
n
?
k
k
o
d
h
r
j
g
i
h
f
M
+r
d
j
r
h
j
g
r
h
g
S
(
?
k
)
b
u
e
sa l
sd
k
sb
Zu
g
h
a
(
5
)
^
v
a/
k
d
k
j
*
d
k
i
;
k
Z;
u
g
h
ag
S&
(
d
)
r
e
(
[
k
)
f
r
f
e
j
(
x
)
f
r
f
e
l
z
(
?
k
)
f
r
f
e
j
j
k
t
9
-f
u
E
u
f
y
f
[
k
r
x
|
k
a'
k
d
k
sË
;
k
u
i
wo
Zd
i
<
+d
j
i
wN
sx
,
Á
'
u
k
sa d
sl
g
h
m
Ÿ
k
j
o
k
y
sf
o
d
Y
i
p
qu
d
j
f
y
f
[
k
,
&
l
f
g
"
.
k
qr
k
,
d
v
k
o
'
;
d
'
k
h
y
g
S]
f
t
l
sl
g
u
'
k
h
y
r
k
d
h
l
aK
k
n
h
x
b
Zg
SA
;
g
,
d
,
sl
k
x
q.
k
g
S]
f
t
l
d
sf
y
,
v
H
;
k
l
d
j
u
k
i
M
+r
k
g
SA
o
a'
k
k
u
qÿ
e
l
sl
f
g
"
.
k
qr
k
m
Ÿ
k
j
k
f
/
d
k
j
e
sa f
e
y
l
d
r
h
g
S]
y
sf
d
u
o
k
r
k
o
j
.
k
v
k
Sj
i
f
j
o
s'
k
d
h
Á
f
r
d
wy
r
k
e
sa b
l
d
k
sf
l
af
p
r
u
f
d
;
k
x
;
k
r
k
sb
l
d
sv
ad
qj
l
w[
k
t
k
r
sg
SaA
l
f
g
"
.
k
qr
k
]
i
f
j
o
s'
k
l
sÁ
k
j
aH
k
g
k
sr
h
g
SA
,
sl
k
c
g
qr
d
qN
g
k
sr
k
g
St
k
si
f
j
o
k
j
l
s
v
u
qd
wy
u
g
h
af
e
y
r
k
A
r
c
v
i
u
h
b
P
N
k
v
k
sa v
k
Sj
e
u
d
k
se
k
j
d
j
x
qt
j
&
c
l
j
d
j
u
h
i
M
+r
h
g
SA
f
u
/
k
Zu
r
k
t
Sl
si
f
j
o
s'
k
e
sa l
f
g
"
.
k
qr
k
d
f
B
u
i
j
h
{
k
k
,
°y
sr
h
g
Sv
k
Sj
b
u
d
k
v
ar
t
Y
n
h
u
g
h
ag
k
sr
k
A
f
o
|
k
F
k
h
Zd
k
sv
i
u
sf
y
,
i
qL
r
d
sa t
qV
k
u
h
i
M
+l
d
r
h
g
Sa v
k
Sj
e
k
°x
d
j
y
k
b
Zx
b
Zi
qL
r
d
sa o
k
i
l
l
g
h
&
l
y
k
e
r
u
y
k
SV
k
u
sd
h
l
t
k
]
,
d
&
n
k
sf
n
u
k
sa r
d
f
c
u
k
i
k
f
j
J
f
e
d
f
y
,
[
k
sr
k
sa e
as e
t
n
wj
h
d
j
u
sd
h
y
k
p
k
j
h
H
k
h
>
sy
u
h
i
M
+r
h
g
SA
j
k
f
=
e
sa g
h
i
<
+u
sd
sf
y
,
l
e
;
f
u
d
k
y
u
k
i
M
+r
k
g
Sv
k
Sj
j
k
s'
k
u
h
d
sf
y
,
L
V
™h
V
y
k
b
V
d
k
g
h
l
g
k
j
k
y
su
k
i
M
+r
k
g
SA
l
e
k
t
d
sv
i
u
sf
u
;
e
g
Sa]
v
i
u
h
i
j
ai
j
k
,
°g
Sa v
k
Sj
l
f
g
"
.
k
qu
l
g
sr
k
sD
;
k
d
j
s\
l
ar
K
k
u
s'
o
j
d
k
s
v
i
u
sf
i
r
k
d
h
^
x
y
r
h
*
d
k
Á
k
;
f
'
p
r
d
j
u
k
i
M
+k
A
f
d
l
h
u
sm
u
d
k
sH
k
h
[
k
r
d
u
g
h
an
h
A
H
k
y
k
b
l
e
sa K
k
u
s'
o
j
d
k
D
;
k
v
i
j
k
/
k
F
k
k
f
d
m
u
d
sf
i
r
k
l
aU
;
k
l
R
;
k
x
d
j
x
`g
L
F
k
c
u
x
,
F
k
s]
y
sf
d
u
K
k
u
s'
o
j
u
sv
i
u
h
l
f
g
"
.
k
qr
k
l
si
wj
sl
e
k
t
d
h
v
o
e
k
u
u
k
l
g
h
v
k
Sj
^
K
k
u
s'
o
j
h
*
d
k
x
h
r
k
e
`r
Á
f
n
n
k
u
e
sa f
n
;
k
A
m
U
g
k
sau
sl
f
g
"
.
k
qr
k
d
h
l
h
<
+h
e
sa l
i
Q
y
r
k
i
k
b
ZA
(
1
)
l
f
g
"
.
k
qr
k
o
sQ
v
ad
qj
d
c
l
w[
k
u
sy
x
r
sg
Sa\
(
d
)
o
k
r
k
o
j
.
k
v
k
Sj
i
f
j
o
s'
k
d
h
Á
f
r
d
wy
r
k
d
sd
k
j
.
k
(
[
k
)
o
a'
k
k
u
qÿ
e
l
sl
f
g
"
.
k
qr
k
f
e
y
u
si
j
(
x
)
v
H
;
k
l
u
d
j
u
si
j
(
?
k
)
m
Ÿ
k
j
k
f
/
k
d
k
j
e
sa u
f
e
y
u
si
j
(
2
)
l
ar
K
k
u
s'
o
j
u
si
wj
sl
e
k
t
d
h
v
o
e
k
u
u
k
l
g
d
j
l
e
k
t
d
k
sD
;
k
f
n
;
k
\
(
d
)
x
zU
F
k
(
[
k
)
l
f
g
"
.
k
qr
k
d
k
i
k
B
(
x
)
^
K
k
u
s'
o
j
h
*
u
k
e
d
k
x
zU
F
k (
?
k
)
i
j
E
i
j
k
v
k
sa d
k
i
k
y
u
d
j
u
k
(
3
)
l
f
g
"
.
k
qr
k
d
h
l
c
l
sd
f
B
u
i
j
h
{
k
k
g
S&
(
d
)
f
u
/
k
Zu
r
k
e
sa H
k
h
l
f
g
"
.
k
qc
u
sj
g
u
k
(
[
k
)
l
e
k
t
d
sf
o
j
k
s/
k
l
g
d
j
l
f
g
"
.
k
qc
u
sj
g
u
k
(
x
)
f
u
/
k
Zu
r
k
v
k
Sj
l
e
k
t
d
sf
o
j
k
s/
k
k
sa d
k
sl
g
d
j
l
f
g
"
.
k
qc
u
sj
g
u
k
(
?
k
)
f
o
"
k
e
i
f
j
f
L
F
k
f
r
;
k
sa d
k
sn
s[
k
d
j
p
qi
p
k
i
H
k
k
x
t
k
u
k
(
4
)
l
ar
K
k
u
s'
o
j
d
h
l
e
k
t
u
sv
o
e
k
u
u
k
D
;
k
sa d
h
\
(
d
)
l
ar
K
k
u
s'
o
j
u
sH
k
h
[
k
e
k
°x
u
sd
k
v
i
j
k
/
k
f
d
;
k
F
k
k
A
(
[
k
)
l
ar
K
k
u
s'
o
j
d
sf
i
r
k
l
aU
;
k
l
N
k
sM
+d
j
x
`g
L
F
k
c
u
x
,
F
k
sA
(
x
)
l
ar
K
k
u
s'
o
j
d
sf
i
r
k
x
y
r
h
d
k
Á
k
;
f
'
p
r
d
j
j
g
sF
k
sA
(
?
k
)
K
k
u
s'
o
j
u
sÁ
k
;
f
'
p
r
f
d
;
k
F
k
k
t
c
f
d
f
i
r
k
d
k
sd
j
u
k
p
k
f
g
,
A
(
5
)
e
u
q"
;
e
sa l
f
g
"
.
k
qr
k
v
k
r
h
g
S&
(
d
)
l
f
g
"
.
k
qr
k
d
k
f
u
j
U
r
j
v
H
;
k
l
d
j
u
sl
s
(
[
k
)
l
f
g
"
.
k
qr
k
o
a'
k
k
u
qÿ
e
l
sm
Ÿ
k
j
k
f
/
k
d
k
j
e
sa f
e
y
r
h
g
S
(
x
)
l
f
g
"
.
k
qr
k
f
u
j
U
r
j
v
H
;
k
l
v
k
Sj
o
a'
k
k
u
qÿ
e
n
k
su
k
sa l
sf
e
y
r
h
g
S
(
?
k
)
l
f
g
"
.
k
qr
k
e
u
q"
;
d
sl
k
SH
k
k
X
;
;
k
n
qH
k
k
ZX
;
;
k
n
k
su
k
sa l
sf
e
y
r
h
g
S
1
0
-u
h
p
sf
n
,
x
,
x
|
k
a'
k
e
sa l
sd
qN
'
k
C
n
f
u
d
k
y
f
n
,
x
,
g
SaA
;
s'
k
C
n
Á
R
;
sd
f
j
D
r
L
F
k
k
u
d
sf
y
,
f
n
,
x
,
f
o
d
Y
i
k
sa e
sa '
k
k
f
e
y
g
SaA
x
|
k
a'
k
d
k
si
f
<
+,
v
k
Sj
f
n
,
x
,
f
o
d
Y
i
k
sa e
sa l
sm
f
p
r
f
o
d
Y
i
p
qf
u
,
&
f
t
an
x
h
d
s (
1
)
e
t
sm
u
d
sf
y
,
u
g
h
ag
Sa t
k
sQ
wy
k
sa d
h
N
k
°o
d
s (
2
)
[
k
sy
r
sv
k
Sj
l
k
sr
s
g
SaA
Q
wy
k
sa d
h
N
k
°o
d
su
h
p
sv
x
j
t
h
o
u
(
3
)
L
o
k
n
f
N
i
k
g
Sr
k
so
g
m
U
g
h
ad
sf
y
,
t
k
sn
wj
j
sf
x
L
r
k
u
l
sv
k
j
g
k
g
S (
4
)
d
aB
l
w[
k
k
g
qv
k
g
Sv
k
Sj
l
k
j
k
c
n
u
i
l
h
u
sl
sr
j
g
Si
k
u
h
e
sa t
k
s
(
5
)
r
R
o
g
S]
m
l
so
g
t
k
u
r
k
g
St
k
s/
k
wi
e
sa [
k
wc
l
w[
k
p
qd
k
g
SA
o
g
u
g
h
at
k
s (
6
)
e
sa H
k
h
i
M
+k
g
h
u
g
h
ag
k
sA
(
1
)
(
d
)
v
l
y
h
(
[
k
)
u
d
y
h
(
x
)
>
wB
s
(
?
k
)
j
ax
h
u
(
2
)
(
d
)
≈
i
j
(
[
k
)
u
h
p
s
(
x
)
d
sl
k
F
k
(
?
k
)
d
sf
c
u
k
(
3
)
(
d
)
u
s
(
x
)
d
k
(
4
)
(
d
)
m
u
d
k
(
x
)
f
t
u
d
k
(
5
)
(
d
)
v
e
`r
o
k
y
k
(
x
)
i
l
h
u
so
k
y
k
(
6
)
(
d
)
f
g
U
n
qL
r
k
u
(
x
)
i
k
f
d
L
r
k
u
(
[
k
)
d
k
s
(
?
k
)
d
h
(
[
k
)
m
u
d
s
(
?
k
)
f
t
U
g
k
sau
s
(
[
k
)
t
g
j
o
k
y
k
(
?
k
)
[
k
wu
o
k
y
k
(
[
k
)
j
sf
x
L
r
k
u
(
?
k
)
[
k
k
f
y
L
r
k
u
m
Ÿ
k
j
e
k
y
k
1
-(
1
)
(
x
)
v
k
R
e
'
k
f
D
r
d
h
n
`<
+r
k
d
k
(
2
)
(
d
)
v
l
Q
y
r
k
f
e
y
r
h
g
S
(
3
)
(
d
)
y
k
sx
e
g
Ÿ
o
g
h
u
l
e
>
r
sg
Sa
(
4
)
(
[
k
)
r
j
D
d
h
d
j
u
k
(
5
)
(
d
)
v
k
R
e
f
o
'
o
k
l
2
-(
1
)
(
d
)
e
u
q"
;
l
e
L
;
k
x
zL
r
g
k
st
k
r
k
g
S
(
2
)
(
d
)
v
f
o
p
k
f
j
r
d
k
;
Zd
sn
q"
i
f
j
.
k
k
e
(
3
)
(
[
k
)
d
r
ZO
;
&
v
d
r
ZO
;
d
h
i
g
p
k
u
l
st
h
o
u
d
k
sl
ai
w.
k
Zc
u
k
l
d
r
k
g
S
(
4
)
(
x
)
K
k
u
v
k
Sj
c
qf
º
d
k
e
sy
c
SB
k
u
sl
s
(
5
)
(
[
k
)
n
q[
k
h
3
-(
1
)
(
d
)
f
u
j
ar
j
l
a?
k
"
k
Zd
j
r
sg
q,
(
2
)
(
x
)
y
{
;
d
si
k
l
i
g
q°p
d
j
H
k
h
m
l
sÁ
k
I
r
u
d
j
i
k
u
k
(
3
)
(
x
)
m
i
e
k
(
4
)
(
[
k
)
t
h
o
u
d
h
v
l
Q
y
r
k
v
k
sa d
k
s
(
5
)
(
[
k
)
v
k
'
k
k
o
k
n
h
c
u
u
k
4
-(
1
)
(
[
k
)
f
e
=
p
qu
u
k
(
2
)
(
?
k
)
f
e
=
r
k
d
s:
i
e
sa
(
3
)
(
d
)
l
ax
f
r
d
k
(
4
)
(
x
)
;
qo
k
o
L
F
k
k
e
sa
5
-(
1
)
(
[
k
)
o
"
k
k
ZΩ
r
qd
k
(
2
)
(
d
)
c
h
t
l
sv
ad
qj
Q
wV
i
M
+k
(
3
)
(
?
k
)
v
k
l
e
k
u
l
s?
k
u
?
k
k
sj
o
"
k
k
Zg
k
sj
g
h
g
S
(
4
)
(
[
k
)
c
k
n
y
(
5
)
(
x
)
m
i
e
k
v
y
ad
k
j
6
-(
1
)
(
?
k
)
l
k
g
l
d
h
f
t
an
x
h
(
2
)
(
[
k
)
c
k
/
k
k
v
k
sa l
su
g
h
a?
k
c
j
k
r
k
g
S
(
3
)
(
d
)
v
O
;
;
h
H
k
k
o
l
e
k
l
(
4
)
(
d
)
t
u
e
r
d
h
m
i
s{
k
k
d
j
d
st
h
u
so
k
y
s
(
5
)
(
d
)
f
t
u
l
i
u
k
sa d
k
d
k
sb
ZO
;
k
o
g
k
f
j
d
v
F
k
Zu
g
h
ag
k
sr
k
7
-(
1
)
(
[
k
)
v
f
H
k
U
u
(
2
)
(
[
k
)
Á
d
`f
r
(
3
)
(
d
)
c
g
qr
(
4
)
(
x
)
o
k
f
e
±x
(
5
)
(
d
)
l
aH
k
o
8
-(
1
)
(
d
)
l
a?
k
"
k
Zd
j
u
sd
h
Á
o
`f
Ÿ
k
(
2
)
(
x
)
d
k
e
u
k
v
k
sa d
h
i
wf
r
Zd
j
u
se
sa
(
3
)
(
[
k
)
e
u
q"
;
d
h
l
Q
y
r
k
v
k
Sj
v
l
Q
y
r
k
v
k
sa l
s
(
4
)
(
x
)
v
l
Q
y
r
k
d
h
;
k
n
?
k
k
o
d
h
r
j
g
i
h
f
M
+r
d
j
r
h
j
g
r
h
g
S
(
5
)
(
?
k
)
f
r
f
e
j
j
k
t
9
-(
1
)
(
d
)
o
k
r
k
o
j
.
k
v
k
Sj
i
f
j
o
s'
k
d
h
Á
f
r
d
wy
r
k
d
sd
k
j
.
k
(
2
)
(
x
)
^
K
k
u
s'
o
j
h
*
u
k
e
d
k
x
zU
F
k
(
3
)
(
d
)
f
u
/
k
Zu
r
k
e
sa H
k
h
l
f
g
"
.
k
qc
u
sj
g
u
k
(
4
)
(
[
k
)
l
ar
K
k
u
s'
o
j
d
sf
i
r
k
l
U
;
k
l
N
k
sM
+d
j
x
`g
L
F
k
c
u
x
,
F
k
sA
(
5
)
(
x
)
l
f
g
"
.
k
qr
k
f
u
j
U
r
j
v
H
;
k
l
v
k
Sj
o
a'
k
k
u
qÿ
e
n
k
su
k
sa l
sf
e
y
r
h
g
SA
1
0
-(
1
)
(
d
)
v
l
y
h
(
2
)
(
[
k
)
u
h
p
s
(
3
)
(
x
)
d
k
(
4
)
(
x
)
f
t
u
d
k
(
5
)
(
d
)
v
e
`r
o
k
y
k
(
6
)
(
[
k
)
j
sf
x
L
r
k
u
Comprehension
PASSAGE – A
Read the following passage carefully and answer the question &
that follow and pick out correct option :
There are some men who seem to be always on the lookout for trouble
and, to tell the truth, they are seldom disappointed. listening to such men
one would think that this world is one of the stormiest and most
disagreeable place. Yet, after all it is not such a bad place and the difficulty
is often in the man who is too thin-skinned. On the other hand, the man
who goes out expecting people to be like himself kind and brotherly, will
be surprised at the kindness he meets even in the most unlike quarters. A
smile is apt to be met with a responsive smile while the sneer is just as apt
to provoke a snarl. Men living in the same neighbourhood may live vastly
different lives. But it is not the neighbourhood which is quarrelsome, but
the man within us. And we have it in our power to change our
neighbourhood into a pleasant one by simply changing our own ways.
1. The passge is about
(a) our disagreeable and hostile world.
(b) a kindly and pleasant world.
(c) our indifferent and unresponsive world.
(d) the world and what one makes of it.
2. “........they are seldom disappointed.” The statement denotes
that such men.
(a) do not have to face any trouble.
(b) welcome difficulties as a morale booster.
(c) manage to keep unruffled in the face of discomforts.
(d) generaly do not fail to come across troubles.
3. The author’s own view of the world is that it is
(a) one of the loveliest and quietest places.
(b) an unpleasant and turbulent place.
(c) one’s own excessive sensitivity that makes it a bad place.
(d) a sordid place for those who suffer in life.
4.
5.
Which of the following is opposite in meaning of the expression
‘thin-skinned’ as used in the passage?
(a) insensitive
(b) intelligent
(c) awkward
(d) obstinate
“On the other hand ........................ unlikely quarters.” The
statement shows that people’s reactions to our attitude is
(a) surprisingly responsive (b) generally indifferent
(c) often adverse
(d) mainly favourable
Passage – B
Every genius that comes to the world, achieves greatness through the
capacity of taking trouble. All great men of the world who have achieved
impossible things in their life time have undergone hardships, sacrifices,
trials and tribulations. There is no easy victory over failure. No hard
achievement is smooth and easy. History of great men reminds us that
with strong determination man can achieve anything he may set his mind
upon, however impossible it may seem apparently.
A man with determination and iron will can defeat all hurdles in the way of
his mission. Even the most intelligent people suffer in life if they cannot
cope with their circumstances and labour hard to achieve the goal of their
life. A genius who is fired with real zeal and determination to achieve his
ideal comes to possess the necessary capacity to bear the hardships,
cross the hurdles and achieve the final victory. Genius and hardwork go
together to bring the desired results. The stage of greatness comes after
many stages of frustration and disappointment. The weaker man gives
way to these frustrations but the genius perseveres and holds on to their
mission until they achieve the object of their life.
6. The writer feels that victory over failure :
(a) is not possible
(b) is not good
(c) is absolute
(d) is not easy
7. According to the passage genius implies :
(a) failing again and again
(b) capacity of taking trouble and hardship
(c) stages of frustration and disappointment
(d) escape from hardship
8. Which of the following is correct:
(a) Only dull people should work hard.
(b) Intelligent people need not labour hard.
(c) None of the above.
(d) Even intelligent people have to cope with circumstances.
9. A man can defeat all hurdles by :
(a) strong determination and iron will
(b) coping with all situations
(c) becoming strong
(d) becoming tall
10. Find out the antonym of the word ‘victory’.
(a) win
(b) defeat
(c) conquer
(d) lose
Passage – C
Newspapers sell because of news and editorial coverage but it gets more
revenue from advertisements. News costs money, while advertisements
fetch money. The economics of modern newspapers is such that it cannot
run by just selling news; it has to depend on advertisements. The
economics of newspaper publishing requires both subscribers who can
afford to buy newspapers and businessmen who can afford to advertise in
it. The growth of the press depends on both. Therefore, in newspaper
management neither aspect can be neglected.
Co-ordination among the various departments – editorial-circulation,
advertising and production – is very essential for effective and better
management. The head of various departments must be part of the
management of a newspaper. They must be aware of the goals set,
policies and future plans of the management. They cannot afford to
remain cut off from the mainstream of management function. In addition,
each department should keep the other department managers informed
of those of its activities that will be useful to them. This is a vital aspect of
newspaper management.
11. The growth of a newspaper depends on
(a) the editorial and news coverage.
(b) large scale subscribers.
(c) subscribers and advertisers.
(d) advertisers.
12. The main idea of the first paragraph of the passage is
(a) The growth of the press.
(b) The economics of newspaper publishing.
(c) News and editorial coverage.
(d) The importance of advertisements.
13. The main idea of the second paragraph of the passage is
(a) The future of newspapers.
(b) How to sell newspaper.
(c) The role of the head of the department.
(d) Effective newspaper management.
14. The word ‘goal’ in the passage means
(a) conclusion
(b) result
(c) aim
(d) benefit
15. The word ‘vital’ as used in the context means
(a) primary
(b) important
(c) healthy
(d) lively
GRAMMAR USAGE
Fill in the blanks with suitable words.
16. No sooner did he go in ............... he came out.
(a) then
(b) when
(c) than
(d) and
17. ............... work hard, you won’t succeed.
(a) Unless you not
(b) Unless you
(c) Unless you do not
(d) Lest you
18. Drive slowly ............... you should meet an accident.
(a) otherwise
(b) lest
(c) while
(d) because
19. No body knows it better than ............... .
(a) me
(b) mine
(c) I
(d) myself
20. Nirmal has special aptitude ............... dancing.
(a) in
(b) to
(c) for
(d) of
21. Raghubir died ............... over work and exhaustion.
(a) from
(b) of
(c) by
(d) for
22. Do not ............... till tomorrow what you can do today.
(a) put on
(b) put out
(c) put up
(d) put off
23. Ashoka was one of the ............... kings.
(a) great
(b) greater
(c) greatest
(d) none of these
24. Throwing off his coat he plunged ............... the sea.
(a) into
(b) in
(c) with
(d) on
25. Many students were fighting with ............... .
(a) each other
(b) some another
(c) any other
(d) one another
26. Calcutta is a ............... port of India.
(a) biggest
(b) bigger
(c) big
(d) none of these
27. Ferozpur is ............... than Faridkot from Delhi.
(a) farthest
(b) farther
(c) further
(d) none of these
28. Had I been rich I ............... have helped the poor.
(a) will
(b) must
(c) shall
(d) would
29. Since he has been in hospital, he has improved ............... .
(a) great
(b) greatest
(c) greater
(d) greatly
30. Somebody has put ............... the candle.
(a) out
(b) on
(c) in
(d) into
31. ............... road we take, we shall be late.
(a) Whatever
(b) Whenever
(c) however
(d) Whichever
32. ............... of the following questions carries five marks.
(a) Some
(b) Each
(c) Every
(d) Few
33. Ram and Ramesh are fast friends. The ............... is a farmer
while the latter is a police officer.
(a) later
(b) former
(c) letter
(d) farmer
34. Shanghai is the ............... city of the world.
(a) much populous
(b) most populous
(c) more populous
(d) none of these
Choose the correct meaning out of the four responses.
35. A burning question –
(a) a present
(b) a matter hotly discussed in public
(c) life imprisonment
(d) an old important issue
36. A turn coat –
(a) one who changes one’s opinion or party
(b) a wet coat
(c) man of principles
(d) a poor man
37. A bottle neck –
(a) a type of drink
(b) big business
(c) anything that causes delay
(d) a challenge
38. Bed of roses –
(a) very soft bed
(b) dull life
(c) belong to
(d) full of joys
39. Smell a rat –
(a) to act unfairly
(b) to talk boastfully
(c) to have reason to suspect
(d) to discourage
40. Hand in hand –
(a) to starve
(b) to welcome
(c) to destroy
(d) together
From the following choose the one which best expresses the
meaning of underlined word :
41. Annihilate :
(a) efface
(b) cultivate
(c) reason
(d) perpetuate
42. Fugitive :
(a) weak
(b) run away
(c) vain
(d) enduring
43. Farcical :
(a) solemn
(b) dismal
(c) destiny
(d) funny
44. Ignominy :
(a) implied
(b) profane
(c) disgrace
(d) distinction
45. Malignant :
(a) harmful
(b) benign
(c) treat
(d) misconduct
46. Mundane :
(a) world
(b) fact
(c) worldly
(d) vocal
47. Outlandish :
(a) familiar
(c) fashionable
48. Susceptible :
(a) detached
(c) pledge
49. Zenith :
(a) nadir
(c) peak
(b)
(d)
friend
strange
(b)
(d)
vulnerable
tangle
(b) plant
(d) minimum
Jumbled Sentences
Make meaningful sentences by using given options :
50. Alexander
(a) was a disciple of Aristotle,
(b) who was a great conqueror,
(c) whom the world acknowledges as the great philosopher.
(d) the world has ever known.
(a) abdc
(b) cabd
(c) bacd
(d) dabc
51. Wark is the one thing
(a) and without it
(b) that is necessary
(c) to keep the world going
(d) we all should die
(a) badc
(b) dcba
(c) cabd
(d) bcad
52. Everybody
(a) attracts every other
(b) whether big or small
(c) body with the force
(d) in the universe of gravitation
(a) acdb
(b) cdab
(c) bacd
(d) dbac
53. All such sutdents
(a) get success
(b) who are honest and hard working
(c) and recognition
(d) in every walk of life.
(a) acbd
(b) bacd
(c) adcb
(d) dacb
54. The natives of the carribean
(a) regarded the papaya
(b) because of its ability
(c) as a magic tree
(d) to keep them healthy
(a) acbd
(b) cabd
(c) acdb
(d) cadb
In the following questions, choose the word, which is most nearly
the opposite in the meaning.
55. Ambiguity :
(a) Rigidity
(b) Clarity
(c) Certainty
(d) Rationality
56. Serene :
(a) Nervous
(b) Jocular
(c) Earnest
(d) Agitated
57. Agile :
(a) Brisk
(b) Feeble
(c) Sluggish
(d) Emaciated
58. Humane :
(a) Uncultured
(b) Unsympathetic
(c) Uncivilised
(d) Uncompromising
59. Vigilant :
(a) Careless
(b) Irresponsible
(c) Innocent
(c) Ignorant
60. Fragile :
(a) Broad
(c) Strong
61. Liberated :
(a) Concealed
(c) Enclosed
62. Inquisitive :
(a) Careless
(c) Indolent
63. Mammoth :
(a) Narrow
(c) Tiny
(b)
(d)
Tall
Heavy
(b)
(d)
Emanicipated
Imprisoned
(b)
(d)
Dull
Uninterested
(b) Huge
(d) Affluent
Detecting the Errors
Directions : In the following sentences, every sentence has been divided
into four parts which are marked a, b, c and d. One of these parts contain
an error. Read each sentence carefully and mark the part which contains
the error.
e.g. (a) Bihar / (b) is rich / (c) in irons / (d) and various other minerals.
Ans. (c) Plural of ‘iron’ is ‘iron’ not ‘irons’.
64. (a) My father is / (b) very fond of / (c) eating vegetable / (d) in the
morning.
65. (a) I have lost / (b) my scissor / (c) in my office / (d) in the afternoon.
66. (a) The thief was / (b) caught red handedly / (c) by the police / (d) in
the crowded market.
67. (a) Athletics are / (b) not popular / (c) in our college / (d) this year.
68. (a) Seema requested / (b) that I shall lend her / (c) my car / (d) for one
week.
69. (a) The Indian Government / (b) has sent / (c) its force / (d) to
Srilanka.
70. (a) The aim and the object / (b) of this association / (c) is to help / (d)
the poor.
71. (a) She congratulated / (b) me for / (c) my promotion / (d) in the office.
72. (a) Rohan denied / (b) that he had not stolen / (c) the gold ring /
(d) of Seema.
73. (a) Telephone was / (b) discovered by / (c) Graham Bell / (d) an
American scientist.
Fill in the blanks with the help of the alternatives given against each
no. (74-83) below the passage.
(i)
To live in a glass house and to throw __74__ at other people outside is an
__75__ of great __76__ . The people ouitside are to __77__ with stones
and smash the glass house into pieces __78__ a man attacks others, he
must form a __79__ idea of his strength and __80__ . If his own position is
__81__ no purpose will be served by his __82__ an attack upon others.
Only when a man is fully __83__ of his unassailable position should he
provoke, hit or attack others.
74. (a) bricks
(b) peddles
(c) stones
(d) mud
75. (a) occasion
(b) incident
(c) act
(d) action
76. (a) common sense
(b) folly
(c) cruelty
(d) pity
77. (a) retaliate
(b) resent
(c) respond
(d) reverberate
78. (a) as
(b) when
(c) before
(d) if
79. (a) simple
(b) direct
(c) rough
(d) correct
80. (a) resources
(b) weakness
(c) intelligence
(d) wisdom
81. (a) strong
(b) weak
(c) satisfactory
(d) doubtful
82. (a) considering
(b) launching
(c) forming
(d) doing
83. (a)
(c)
familiar
conscious
(b) ignorant
(d) convinced
(ii)
The true __84__ of rights is duty. If we all __85__ our duties, rights will not
be __86__ to seek. If leaving duties unperformed we run __87__ rights,
they will __88__ us like an elusive person. The more we pursue them, the
farther __89__ they fly. The same __90__ has been embodied by Krishna
in the __91__ word : ‘Action __92__ is thine. Leave thou the fruit severly
alone’. ‘Action is __93__ : fruit is the right.’
84. (a) end
(b) source
(c) fruit
(d) purpose
85. (a) deny
(b) devote
(c) discharge
(d) imagine
86. (a) far
(b) close
(c) easy
(d) against
87. (a) as
(b) after
(c) at
(d) from
88. (a) hold
(b) grab
(c) fight
(d) escape
89. (a) will
(b) should
(c) can
(d) did
90. (a) teaching
(b) method
(c) control
(d) technique
91. (a) sequential
(b) true
(c) conflicting
(d) immortal
92. (a) divine
(b) desire
(c) promptly
(d) alone
93. (a) fruit
(b) right
(c) duty
(d) prompt
Directions : Which of the word/phrases should replace the word/phrase
given in bold in the following sentences to make the sentence
meaningfully correct.
94. They were all astonished by her failure in the examination.
(a) for
(b) on
(c) at
(d) from
95. Due to rough weather the number of ships crossing the channel last
week is very small.
(a) are being
(b) are
(c) were
(d) was
96. The roads are wet, it must had rained last night.
(a) must have been
(b) might had
(c) would have been
(d) must have
97. It will depend now on they coming on time.
(a) their coming
(b) them coming
(c) their’s coming
(d) they come
98. He decided to quickly leave the house.
(a) quickly to leave the house
(b) quickly leave house
(c) leave the house quickly
(d) leave quickly the house
In the following questions each word is spelt differently in
responses a, b, c, d. Choose the response which gives the incorrect
spelling of the word.
99. (a) auspicious
(b) delicious
(c) jealous
(d) courtious
100. (a) conquerer
(b) admirer
(c) miner
(d) butcher
101. (a) dependent
(b) accident
(c) repeutant
(d) pendent
102. (a) welcome
(b) welfare
(c) farewel
(d) travel
103. (a) business
(b) bigining
(c) buffalo
(d) beggar
104. (a) ancient
(b) patient
(c) magnificient
(d) efficient
105. (a) muslin
(b) masculine
(c) kiln
(d) disciplin
106. (a) flowery
(b) jewelery
(c) early
(d) curly
In each of the following questions an active sentence has been
given. Out of the four alternatives suggested select the one which
best expresses in the passive voice.
107. Do you imitate others?
(a) Are others imitated by you?
(b) Are others being imitated by you?
(c) Were others being imitated by you?
(d) Have others been imitated by you?
108. Some one gave her a bull dog.
(a) She was given a bull dog.
(b) A bull dog was given to her.
(c) She has been given a bull dog.
(d) She is being given a bull dog by some one.
109. Darjeeling grows tea.
(a) Tea grows in Darjeeling.
(b) Tea is grown in Darjeeling.
(c) Let the tea be grown in Darjeeling.
(d) Tea is being grown in Darjeeling.
110. They are building a house next door to our school.
(a) Next door to our school a house is being built by them.
(b) Next door to our school is being built a house by them.
(c) A house next door to our school is being build by them.
(d) A house is being built by them next door to our school.
111. I saw him leaving the house.
(a) He had been seen leaving the house.
(b) He was seen to be leaving the house.
(c) Leaving the house he was seen by me.
(d) He was seen leaving the house by me.
112. Who taught her such things?
(a) Who was she taught such things by?
(b) She was taught such things by who?
(c) By whom she was taught such things?
(d) By whom was she taught such things?
113. We hope that we shall win the match.
(a) The match is hoped to be won.
(b) Match winning is our hope.
(c) It is hoped that the match will be won by us.
(d) Winning the match is hoped by us.
114. It is time to ring the bell.
(a) It is time the bell rings
(b) It is being time to ring the bell
(c) It is time for the bell to ring
(d) It is time for the bell to be rung.
115. I remember my sister taking me to the museum.
(a) I remember taken to the museum by my sister.
(b) I remember myself being taken to the mesuem by my sister.
(c) I remember I was taken to the museum by my sister.
(d) I remember being taken to the museum by my sister.
116. People claim to have seen the suspect in several cities.
(a) The suspect is being seen in several cities.
(b) The suspect has been seen by the people in several cities.
(c) The suspect is claimed to have been seen in several cities.
(d) The suspect was seen by people in several cities.
In each of the following questions, a sentence has been given in
Direct Speech, select the option given, which best expresses the
Indirect Speech.
117. He said, “I saw a book here.”
(a) He said that he saw a book here.
(b) He said that he saw a book there.
(c) He said that he had seen a book there.
(d) He said that he had seen a book here.
118. The teacher said, “The Sun rises in the East.”
(a) The teacher told the Sun rises in the East.
(b) The teacher said the Sun rises in the East.
(c) The teacher told that the Sun rises in the East.
(d) The teacher said that the Sun rises in the East.
119. Rajesh said, “I bought a car yesterday.”
(a) Rajesh said that I have bought a car the previous day.
(b) Rajesh told that he had bought a car yesterday.
(c) Rajesh said that he bought a car the previous day.
(d) Rajesh said that he had bought a car the previous day.
120. He said, “What a beautiful scene!”
(a) He said that what a beautiful scene it was.
(b) He wondered that it was a beautiful scene.
(c) He exclaimed what a beautiful scene it was.
(d) He exclaimed that it was a very beautiful scene.
121. She said to him, “Why don’t you go today?”
(a) She said to him that why he don’t go today.
(b) She asked him if he was going that day.
(c) She asked him why he did not go today.
(d) She asked him why he did not go that day.
122. He said to me, “Where is the post office?”
(a) He wanted to know where the post office was.
(b) He asked me that where the post office was.
(c) He asked me where the post office was.
(d) He asked me where was the post office.
123. He said, “Can you sing?” and I said, “No”.
(a) He asked me that could I sing and I refused.
(b) He asked me if I could sing and I said that I couldn’t.
(c) I denied, when he asked me if I could sing.
(d) He asked me if I could sing and I said no.
124. “Are you alone, my son?” asked a soft voice close behind me.
(a) A soft voice from my back asked if I was alone.
(b) A soft voice said to me are you alone son.
(c) A soft voice asked that what I was doing there alone.
(d) A soft voice behind me asked if I was alone.
125. “I don’t know the way. Do you?” he asked.
(a) He said that he didn’t know the way and did I know it.
(b) He told that he was not knowing the way, but wondered if I
knew.
(c) He said that he didn’t know the way and asked me if I did.
(d) He asked me if I knew the way which he didn’t.
126. He said, “Will you listen to such a man?”
(a) He asked them will you listen to such a man.
(b) He asked them are you listening to such a man.
(c) He asked them whether they would listen to such a man.
(d) He asked them whether they will listen to such a man.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
(d)
(d)
(c)
(a)
(a)
(d)
(b)
(d)
(a)
(b)
(c)
(b)
(c)
(c)
(b)
(c)
(b)
(b)
(c)
(c)
(a)
(d)
(c)
(a)
(d)
(c)
(b)
(d)
(d)
(a)
(d)
Detailed Key
The world and what one makes of it.
generally donot fail to come across troubles.
one’s own excessive sensitivity that makes it a bad place.
insensitive
surprisingly responsive
is not easy
capacity of taking trouble and hardships
even intelligent people have to cope with circumstances
strong determination and iron will
defeat
subscribers and advertisers
the economics of newspaper publishing
the role of the heads of departments
aim
important
than
Unless you
lest
I
for
from
put off
greatest
into
one another
big
farther
would
greatly
out
whichever
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
(b)
(b)
(b)
(b)
(a)
(c)
(d)
(c)
(d)
(a)
(b)
(d)
(c)
(a)
(c)
(d)
(b)
(c)
(c)
51. (d)
52. (d)
53. (b)
54. (a)
55. (b)
56. (d)
57. (c)
each
former
most populous
a matter hotly discussed in public
one who changes one’s opinion or party
anything that causes delay
full of joys
to have reason to suspect
together
efface
run away
funny
disgrace
harmful
worldly
strange
vulnerable
peak
alexander who was a great conqueror, was a disciple of
Aristotle, whom the world acknowledges as the great
philosopher, the world has ever known.
Work is the one thing that is necessary to keep the world going
and without it we all should die.
Everybody in the universe whether big or small attracts every
other body with the force.
All such students who are honest and hard working get
success and recognition in every walk of life.
The natives of the carribean regarded the papaya as a magic
tree because of its ability to keep them healthy.
clarity
agitated
sluggish
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
(b)
(a)
(c)
(d)
(d)
(c)
(c)
(b)
(b)
(a)
(b)
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
85.
86.
87.
88.
(c)
(a)
(b)
(b)
(b)
(c)
(c)
(d)
(a)
(c)
(c)
(b)
(b)
(a)
(d)
(b)
(c)
(a)
(b)
(d)
unsympathetic
careless
strong
imprisoned
uninterested
tiny
‘Vegetable’ is always used in plural as ‘vegetables.
The correct word is ‘scissors’ not ‘scissor’.
The correct phrase is ‘caught red handed’.
‘Athletics’ takes the singular verb ‘is’ not ‘are’.
To agree with the past tense of principal clause use ‘should’ in
place of ‘shall’.
Use ‘forces’ in place of ‘force’.
Omit the latter article‘the’.
Instead of ‘for’, ‘on’ is used here.
‘Not’ should be deleted.
Use ‘invented’ instead of ‘discovered’.
stones
act
pity
retaliate
before
rough
weakness
weak
considering
convinced
source
discharge
far
after
escape
89.
90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
101.
102.
103.
104.
105.
106.
107.
108.
109.
110.
111.
112.
113.
114.
115.
116.
117.
118.
119.
120.
(a)
(a)
(d)
(d)
(c)
(c)
(d)
(d)
(a)
(c)
(d)
(a)
(b)
(c)
(b)
(c)
(d)
(b)
(a)
(b)
(b)
(d)
(d)
(d)
(c)
(d)
(d)
(c)
(c)
(d)
(d)
(d)
will
teaching
immortal
alone
duty
at
was
must have
their coming
leave the house quickly
courteous
conqueror
accident
farewell
beginning
magnificent
discipline
jewellery
Are others imitated by you?
A bulldog was given to her.
Tea is grown in Darjeeling.
A house is being built by them next door to our school.
He was seen leaving the house by me.
By whom was she taught such things?
It is hoped that the match will be won by us.
It is time for the bell to be rung.
I remember being taken to the museum by my sister.
The suspect is claimed to have been seen in several cities.
He said that he had seen a book there.
the teacher said that the sun rises in the East.
Rajesh said that he had bought a car the previous day.
He exclaimed that it was a very beautiful scene.
121.
122.
123.
124.
125.
126.
(d)
(c)
(b)
(d)
(c)
(c)
she asked him why he did not go that day.
He asked me where the post office was?
He asked me if I could sing and I said that I could not.
A soft voice behind me asked if I was alone.
He said that he didn’t know the way and asked me if I did.
He asked them whether they would listen to such a man.
PSA
CLASS - X
1.
Question Figure :
?
Answer Figure :
(b)
(a
(c)
(d)
? represents :
(a)
fig (a)
(b)
fig (b)
(c)
fig (c)
(d)
fig (d)
\
n
'
k
k
Zr
k
g
S%
2.
(a)
v
k
Ñ
f
r
(a)
(b)
v
k
Ñ
f
r
(b)
(c)
v
k
Ñ
f
r
(c)
(d)
v
k
Ñ
f
r
(d)
Find the value of ?
1
27
64
(a)
343
8
64
216
(b) 512
27
125
?
(c)
216
(d)
125
\
d
k
e
k
u
K
k
r
d
j
k
s%
3.
(a)
343
(b)
512
(c)
216
(d)
125
What is the value of the next two numbers x and y in the
following series?
2, 10, 30, 68, 130, 222, 350, x, y
(a)
520, 738
(b)
524, 742
(c)
520, 740
(d)
518, 738
{
k
s.
k
h
o
sQ
v
x
y
sn
k
sv
ad
xr
F
k
k
yo
sQ
e
k
u
D
;
k
g
Sa\
2, 10, 30, 68, 130, 222, 350, x, y
(a)
520, 738
(b)
524, 742
(c)
520, 740
(d)
518, 738
4.
1
7
3
5
4
6
2
Study the diagram and answer the following question when.
(i)
(ii)
represents
youth in villages
represents
unemployed youths
represents
educated youths
uneducated unemployed youth in villages are :
(a)
1
(b)
4
(c)
6
(d)
7
Educated youth in village :
(a)
5
(b)
4
(c)
6
(d)
7
i
z- v
k
Ñ
f
r
o
sQ
v
k
/
k
j
i
j
f
u
E
u
i
z'
u
k
sa o
sQ
m
Ù
k
j
n
sa t
c
f
d
%
x
k
¡o
e
sa ;
qo
d
k
sa d
k
sn
'
k
k
Zr
k
g
S
c
sj
k
st
x
k
j
;
qo
d
k
sa d
k
sn
'
k
k
Zr
k
g
SA
f
'
k
f
{
k
r
;
qo
d
k
sa d
k
sn
'
k
k
Zr
k
g
SA
(i)
v
f
'
k
f
{
k
r
]
c
sj
k
st
x
k
j
]
x
k
¡o
o
sQ
;
qo
d
g
SaA
(a)
1
(b)
4
(c)
6
(d)
7
(ii)
x
k
ao
e
sa f
'
k
f
{
k
r
;
qo
d
(a)
5
(b)
4
6
(d)
7
(c)
5.
x
If 2 = 256, than z is equal to
(a)
2
(c)
12
(b)
14
(d)
16
x
;
f
n
2 = 256 r
c
x=
6.
(a)
2
(b)
14
(c)
12
(d)
16
If both length and breadth of the rectangle is increased by 50%
each what would be the net increase in its area?
(a)
100%
(b)
200%
(c)
150%
(d)
125%
;
f
n
,
d
v
k
;
r
d
h
y
ac
k
b
Zo
p
k
SM
+k
b
Z5
0
»
r
d
c
<
+k
n
h
t
k
,
r
k
sm
l
o
sQ
{
k
s=
k
i
Q
y
e
sa c
<
+r
d
k
»
g
k
sx
k
%
7.
(a)
100%
(b)
200%
(c)
150%
(d)
125%
(b)
6
What is the value of?
\
d
k
e
k
u
D
;
k
g
S\
(a)
4
(c)
8.
8
(d)
10
Simplify l
j
y
d
j
k
sA
0.0347 ×
0.0347 ×
0.0347 +
(0.9653)3
(0.0347)2 −
(0.347)(0.09653) +
(0.9653)2
9
(a)
0.9306
(b)
1.0009
(c)
1.0050
(d)
1
An equilateral triangle is incribed in a circle of radius 8 cm then
its side is :
(a) 8 3 cm
(b)
(c) 8 2 cm
(d)
8 cm
8
3
cm
8
l
se
h
f
=
k
T
;
k
o
sQ
o
`r
o
sQ
v
ar
x
Zr
,
d
l
e
c
k
g
qf
=
k
H
k
qt
c
u
k
g
SA
f
=
k
H
k
qt
d
h
H
k
qt
k
d
h
y
ac
k
b
Zg
S
(a) 8 3 cm
(b)
(c) 8 2 cm
(d)
8 cm
8
3
cm
10. Find the next figure
?
(i)
(a)
(ii)
(b)
(iii)
(c)
(d)
Q.11 If area of fig A is 50 sq. units, then what is the area of the shaded
region in fig B?
(a)
1800 sq. units
(b)
3000 sq. units
(c)
1350 sq. units
(d)
1500 sq. units
;
f
n
v
k
Ñ
f
r
Ad
k
{
k
s=
k
i
Q
y
5
0
o
x
Zb
Zd
k
b
Zg
Sr
k
sv
k
Ñ
f
r
Be
sa N
k
;
k
af
d
r
H
k
k
x
d
k
{
k
s=
k
i
Q
y
D
;
k
g
k
sx
k
\
(a)
1
8
0
0
o
x
Zb
d
k
b
Z
(b)
3
0
0
0
o
x
Zb
Zd
k
b
Z
(c)
1
3
5
0
o
x
Zb
Zd
k
b
Z
(d)
1
5
0
0
o
x
Zb
Zd
k
b
Z
B
A
50 squnits
12. Four views of one cube are given below. Each of the six faces of
cube is numbered. In figure which number will be opposite to
the face with number 3?
n
h
x
b
Zp
k
j
f
L
F
k
f
r
;
k
sa e
sa ,
d
?
k
u
o
sQ
i
zR
;
sd
i
k
'
o
Zi
j
l
a[
;
k
,
¡v
af
d
r
f
n
[
k
k
b
Zx
b
Zg
SaA
v
k
Ñ
f
r
e
sa n
s[
k
d
j
c
r
k
b
,
f
d
l
a[
;
k
3
o
sQ
f
o
i
j
h
r
i
k
'
o
Zi
j
d
k
Su
&
l
h
l
a[
;
k
v
af
d
r
g
SA
5
5
6
5
4 1
2 3
4 3
3 4
(a)
1
(b)
2
(c)
5
(d)
6
13. Given that
12 + 22 + 32 + .................... + 202 = 2870 the value of 22 + 42 + 62 +
2
.............. + 40 is :
(a)
11480
(b)
5740
(c)
28700
(d)
2840
2 2 2
2
2 2 2
2
;
f
n
1
$
2
$
3
$
$
2
0
¾
2
8
7
0
r
c
2
$
4
$
6
$
$
4
0
g
k
sx
k
%
(a)
11480
(b)
5740
(c)
28700
(d)
2840
14.
A
B
D
C
Perimeter of rectangle ABCD is 7 m. What will be its area?
(a)
1.96 sq. m
(b)
1.44 sq. m
(c)
14.4 sq. m
(d)
19.6 sq. m
v
k
;
r
d
k
i
f
j
e
k
i
7
e
h
g
SA
b
l
d
k
{
k
s=
k
i
Q
y
D
;
k
g
k
sx
k
\
15.
(a)
1.96 o
x
Ze
h
-
(b)
1.44 o
x
Ze
h
-
(c)
14.4 o
x
Ze
h
-
(d)
19.6 o
x
Ze
h
-
_
If area of circle is 1.21 ∧
sq. units. Then area of the square will
be:
(a)
484 sq. units
(b)
48.4 sq. units
(c)
4.84 sq. units
(d)
.484 sq. units
(a)
4
8
4
o
x
Zb
d
k
b
Z
(b)
4
8
4
o
x
Zb
d
k
b
Z
(c)
4
8
4
o
x
Zb
d
k
b
Z
(d)
4
8
4
o
x
Zb
d
k
b
Z
_
;
f
n
o
`r
d
k
{
k
s=
k
i
Q
y
1
2
1
∧
o
x
Zb
d
k
b
Zg
Sr
k
so
x
Zd
k
{
k
s=
k
i
Q
y
D
;
k
g
k
sx
k
\
16.
A (-8,0)
D(
B (-2,0)
C
)
(2, - 6)
If ABCD is a rectangle, then co-ordinates of D are :
(a)
(–6, 8)
(b)
(–8, –6)
(c)
(–6, –8)
(d)
(6, –8)
;
f
n
ABCD ,
d
v
k
;
r
g
Sr
k
sDo
sQ
f
u
n
sZ'
k
k
ad
D
;
k
g
S\
(a)
(–6, 8)
(b)
(–8, –6)
(c)
(–6, –8)
(d)
(6, –8)
17. Given that :
Then what is the value of :
.001 (a + b + c + d + e) ?
(a)
3
(b)
.03
(c)
12
(d)
30
f
n
;
k
x
;
k
g
S%
r
k
s .001 (a + b + c + d + e) d
k
e
k
u
D
;
k
g
S\
(a)
3
(b)
.03
(c)
12
(d)
30
18. The relationship between four numbers A, B, C and D is as
follows :
The second number is twice the first and thrice the third. The
fourth number is four times the second.
The fourth number is how many times the first number?
(a)
6
(b)
8
(c)
9
(d)
12
p
k
j
l
a[
;
k
,
¡ A, B, C r
F
k
k
De
sa l
ac
a/
b
l
i
zd
k
j
g
Sa %
n
wl
j
h
l
a[
;
k
i
g
y
h
l
a[
;
k
d
h
n
qx
qu
h
r
F
k
k
r
h
l
j
h
l
a[
;
k
d
h
f
r
x
qu
h
g
SA
p
k
SF
k
h
l
a[
;
k
n
wl
j
h
l
a[
;
k
d
h
p
k
j
x
qu
h
g
SA
c
r
k
b
;
sf
d
p
k
SF
k
h
l
a[
;
k
i
g
y
h
l
a[
;
k
d
h
f
d
r
u
sx
qu
h
g
S\
(a)
6
(b)
8
(c)
9
(d)
12
19.
is equal to :
(a)
9
(b) 11
1
2
(c)
(d) 15 1
2
13
o
sQ
c
j
k
c
j
g
S%
(a)
9
(b) 11 1
2
(c)
13
(d) 15
1
2
20. Find the missing number :
v
K
k
r
l
a[
;
k
K
k
r
d
h
f
t
,
%
7
4
5
1
64
11
27
?
8
3
8
2
(a)
0
(b)
8
(c)
125
(d)
216
21. Given that :
ao
b = 3a + 5b – 4ab what will be the value of 7
(a)
26
(b)
–18
(c)
0
(d)
–25
f
n
;
k
x
;
k
g
S%
ao
b = 3a + 5b – 4ab
2:
r
k
s7o
2d
k
e
k
u
g
k
sx
k
%
(a)
26
(b)
–18
(c)
0
(d)
–25
22. Find the next number of the sequence :
2, 5, 10, 14, 18, 23, 26, 32 ............
(a)
33
(b)
34
(c)
36
(d)
37
Ük
à[
k
y
k
d
h
v
x
y
h
l
a[
;
k
D
;
k
g
S%
2, 5, 10, 14, 18, 23, 26, 32 ............
(a)
33
(b)
34
(c)
36
(d)
37
23. Study the pattern :
1 = 12
1 + 3 = 22
1 + 3 + 5 = 32
1 + 3 + 5 + ................... + (x) + (y) = 1024
Values of x and y will respectively be :
(a)
(63, 61)
(b)
(65, 63)
(c)
(61, 63)
(d)
65, 67)
i
zf
r
:
i
d
k
v
o
y
k
sd
u
d
j
sa %
1¾
12
1$
3¾
22
1$
3$
5¾
32
1$
3$
5$
--------------- $ (x) $
(y ) ¾
1024
xr
F
k
k
yo
sQ
e
k
u
Ø
e
'
k
%
g
k
sax
s%
(a)
(63, 61)
(b)
(65, 63)
(c)
(61, 63)
(d)
(65, 67)
2z
24.
y
3z
1.5 x
If all the four sides of the quadrilateral are tangents to the circle,
then what is the perimeter of the quadrilateral?
(a)
2x + 3y + 10 z
(b)
2y + 3x + 10z
(c)
4x + 10z + 2y
(d)
2 (x + 2y + 5z)
;
f
n
b
l
p
r
qH
k
Zqt
d
h
p
k
j
k
sa H
k
qt
k
,
¡o
`r
d
h
L
i
'
k
Zj
s[
k
k
,
¡g
Sa r
k
sp
r
qH
k
qZt
d
k
i
f
j
e
k
i
D
;
k
g
S\
(a)
2x + 3y + 10 z
(b)
2y + 3x + 10z
(c)
4x + 10z + 2y
(d)
2 (x + 2y + 5z)
25. A can do a piece of work in 12 days, B is 60% more efficient than
A. Find the no. of days it takes B to do the same piece of work :
1
1
7 days
4 days
2
2
(a)
(b)
1
1
5 days
9 days
2
2
(c)
(d)
Af
d
l
h
d
k
e
d
k
s1
2
f
n
u
k
sa e
sa i
wj
k
d
j
r
k
g
SA
B, A l
s6
0
»
v
f
/
d
d
k
;
Z'
k
h
y
g
SA
B
}
k
j
k
m
l
h
d
k
e
d
k
si
wj
k
d
j
u
so
sQ
f
n
u
g
Sa %
1
2
f
n
u
1
5
2
f
n
u
7
(a)
(c)
4
1
2
f
n
u
9
1
2
f
n
u
(b)
(d)
26.
2cm
10cm
r
In the given fig., what is the ratio of the volume of cylinder to the
volume of cone?
f
n
;
sx
;
sf
p
=
k
e
sa c
sy
u
v
k
Sj
'
k
ao
qQ
o
sQ
v
k
;
r
u
d
k
v
u
qi
k
r
D
;
k
g
S%
(a)
20 : 7
(b)
15 : 4
(c)
13 : 4
(d)
3p
:2
4x y
−
y x
27. Simplifying
, we get :
2
(4x −
y)2

2x −
y
 
yx
xy 
(a)
(b) 
−
(y 2 −
4x 2 )
yx
(c)
(d)
(2x −
y)2
xy
4x y
−
y x d
k
sl
j
y
d
j
u
si
j
i
zk
I
r
g
k
sx
k
%
(4x −
y)2
yx
(a)
−
(y 2 −
4x 2 )
yx
(c)
2
(b)

2x −
y
 
xy 

(d)
(2x −
y)2
xy
4
28.
B
3
2
1
-4 -3 -2 -1
1 2
-1
-2
3 4
-3
-4
A
Find AB :
(a)
1
(b)
(c) 2 7
2
(d) 7 2
AB K
k
r
d
j
sa %
(a)
1
(b)
(c) 2 7
2
(d) 7 2
29. Side of a square is
,
d
o
x
Zd
h
H
k
qt
k
. Its perimeter would be :
g
Sr
k
sb
l
d
k
i
f
j
e
k
i
D
;
k
g
k
sx
k
\
(a)
4x + 36z
2
(b)
2 (3x + 18z )
2
(c)
3x + (6z)2
(d)
2x + (6z)2
30. A cubic centimeter of water weighs 1 gram. How much does 1
cubic
1 milimeter weigh :
1
gram
gram
10
1000
(a)
(b)
(c)
1
gram
100
(d)
1
gram
10000
1
?
k
u
l
se
h
i
k
u
h
d
k
H
k
k
j
1
x
zk
e
g
Sr
k
s1
?
k
u
f
e
y
h
e
h
V
j
i
k
u
h
d
k
H
k
k
j
f
d
r
u
k
g
k
sx
k
%
1
x
ze
k
10
1
x
ze
k
(c)
100
(a)
(b)
1
x
ze
k
1000
(d)
1
x
ze
k
10000
31. What is the sum of the largest and smallest of the fractions
given below :
5 11 19
9 7
,
, 3 ,1 ,
11 22
22 11 11
(c) 2
4
11
5
11
(b) 2
3
11
(d) 2 2
11
(a) 2
f
u
E
u
e
sa l
sl
c
l
sc
M
+h
o
l
c
l
sN
k
sV
h
f
H
k
U
u
d
k
t
k
sM
+D
;
k
g
k
sx
k
%
5 11 19
9 7
,
, 3 ,1 ,
11 22
22 11 11
(a) 2 5
11
3
(c) 2
11
(b) 2 4
11
(d) 2 2
11
32. If a, b, c, p, q, r and K represent some digit then what values can
K take if it is given that :
(ak)2 ++=
(bk)2 (ck)2 pqr2
(a)
[2, 7]
(b)
[2, 4]
(c)
[2, 8]
(d)
[8, 4]
;
f
n
a, b, c, p, q, r r
F
k
k
Kf
d
l
h
v
ad
d
k
si
zn
f
'
k
Zr
d
j
r
sg
Sa r
k
sv
ad
Ko
sQ
e
k
u
D
;
k
g
k
s
l
d
r
sg
Sa t
c
f
d
f
n
;
k
x
;
k
g
S%
(ak)2 ++=
(bk)2 (ck)2 pqr2
(a)
[2, 7]
(b)
[2, 4]
(c)
[2, 8]
(d)
[8, 4]
33. A dishonest milkman professes to sell his milk at cost price but
he mixes it with water and there by gains 25%. The percentage
of water in the mixture is :
(a)
25%
(b)
20%
(c)
8%
(d)
10½%
,
d
n
w/
c
sp
u
so
k
y
k
n
w/
d
k
sØ
;
e
wY
;
i
j
c
sp
r
k
g
SA
i
j
o
g
n
w/
e
sa i
k
u
h
f
e
y
k
n
sr
k
g
So
2
5
»
d
k
y
k
H
k
i
zk
I
r
d
j
r
k
g
SA
f
e
J
.
k
e
sa i
k
u
h
d
k
»
K
k
r
d
h
f
t
,
%
(a)
25%
(b)
20%
(c)
8%
(d)
10½%
34. Given that
130 =
11.4 then the value of
3=
3.6 and
1.3 +
1300 +
0.013 is equal to :
(a)
36.164
(b)
37.254
(c)
36.254
(d)
37.154
F
k
k 130 =
k
sr
k
s 1.3 +
k
e
k
u
g
S
3=
3.6 r
11.4 g
1300 +
0.013 d
(a)
36.164
(b)
37.254
(c)
36.254
(d)
37.154
35. By how much does
(a)
2
exceed (
?
12 +
18 )
2 3+
2 2)
(
(b)
3
(c)
2
(d)
3
12 +
18 )
2 3+
2 2)
l
s (
f
d
r
u
k
T
;
k
n
k
g
S\
(
(a)
2
(b)
(c)
3
3
(d)
2
36. Square of any positive integer is of the form 3 m and (3m + 1).
Which of the following can clearly not be the square of a
positive integer? (m and x are positive integer)
(a)
9x
(b)
9x + 3
(c)
9x + 5
(d)
9x + 4
f
d
l
h
?
k
u
k
R
e
d
i
w.
k
k
±d
d
k
o
x
Z3
mv
F
k
o
k
3m + 1 o
sQ
:
i
e
sa f
y
[
k
k
t
k
l
d
r
k
g
SA
f
u
E
u
e
sa d
k
Su
&
l
k
O
;
at
d
L
i
"
V
:
i
f
d
l
h
?
k
u
k
R
e
d
i
w.
k
k
±d
d
k
o
x
Zu
g
h
ag
k
sl
d
r
k
\
(m r
F
k
k
n
/
u
k
R
e
d
i
w.
k
k
±d
g
Sa)
(a)
9x
(b)
9x + 3
(c)
9x + 5
(d)
9x + 4
37. The following four rational numbers have been converted into
decimal :
(a)
17
85
(b)
26
117
(c)
49
175
(d)
15
64
Choose the correct option :
(a)
All will be terminating decimal.
(b)
All will be non-terminating decimal.
(c)
(ii) non-terminating and (iii) terminating.
(d)
(iii) non-terminating and (ii) terminating.
f
u
E
u
p
k
j
i
f
j
e
s;
l
a[
;
k
v
k
sa d
k
sn
'
k
e
y
o
e
sa c
n
y
k
x
;
k
g
S%
(a)
17
85
(b)
26
117
(c)
49
175
(d)
15
64
(a)
l
H
k
h
l
k
ar
n
'
k
e
y
o
g
SaA
(b)
l
H
k
h
v
l
k
ar
n
'
k
e
y
o
g
SaA
(c)
(ii) v
l
k
ar
r
F
k
k
(iii) l
k
ar
g
SaA
(d)
(iii) v
l
k
ar
r
F
k
k
(ii) l
k
ar
g
SaA
38. Choose the correct pair of numbers to fill the blanks :
(5, 25, 125, 625) , (– 2, + 4, – 8, + 16)
(4, 16, 64, 256) , (–3, ___ , ___ , 81)
(a)
(9, 27)
(b)
(–9, 27)
(c)
(9, –27)
(d)
(–9, –27)
f
j
D
r
L
F
k
k
u
e
sa f
y
[
k
u
so
sQ
f
y
,
l
a[
;
k
v
k
sa d
k
;
qX
e
p
qf
u
;
s%
(5, 25, 125, 625) , (– 2, + 4, – 8, + 16)
(4, 16, 64, 256) , (–3, ___ , ___ , 81)
(a)
(9, 27)
(b)
(–9, 27)
(c)
(9, –27)
(d)
(–9, –27)
39. An NGO organised an essay competition on the topic “Safety of
women and responsibility of society” in which Pradeep, Neha
and Deepti won the first, second and the third prize
respectively. The prize money was as follows :
First prize
:
Rs. 1500/-
Second prize
:
Rs. 1000/-
Third prize
:
Rs. 500/-
Which of the following is true?
(a)
Neha got 50% less money than Pradeep.
(b)
Pradeep got Rs. 500/- less than Neha.
(c)
Pradeep got 50% more money than Neha.
(d)
Neha got 50% more than Deepti.
^
^
e
f
g
y
k
l
qj
{
k
k
v
k
Sj
l
e
k
t
d
k
n
k
f
;
R
o
*
*
u
k
e
d
f
o
"
k
;
i
j
,
d
x
Sj
l
j
d
k
j
h
l
aL
F
k
k
}
k
j
k
,
d
f
u
c
a/
i
zf
r
;
k
sf
x
r
k
v
k
;
k
sf
t
r
d
h
x
;
h
f
t
l
e
sa i
zn
h
i
]
u
sg
k
v
k
Sj
n
h
f
I
r
u
sØ
e
'
k
%
i
zF
k
e
]
f
}
r
h
;
v
k
Sj
r
`r
h
;
i
qj
L
d
k
j
i
zk
I
r
f
d
;
sA
i
qj
L
d
k
j
d
h
j
k
f
'
k
b
l
i
zd
k
j
F
k
h
%
i
zF
k
e
i
qj
L
d
k
j
% 1
5
0
0
#
i
;
s
f
}
r
h
;
i
qj
L
d
k
j
% 1
0
0
0
#
i
;
s
r
`r
h
;
i
qj
L
d
k
j
% 5
0
0
#
i
;
s
f
u
E
u
e
sa l
sl
g
h
d
F
k
u
N
k
¡f
V
,
%
(a)
u
sg
k
u
si
zn
h
i
l
s5
0
»
d
e
j
k
f
'
k
i
zk
I
r
d
h
A
(b)
i
zn
h
i
u
su
sg
k
l
s5
0
0
#
i
;
sd
e
i
zk
I
r
f
d
,
A
(c)
i
zn
h
i
u
su
sg
k
l
s5
0
»
v
f
/
d
j
k
f
'
k
i
zk
I
r
d
h
A
(d)
u
sg
k
u
sn
h
f
I
r
l
s5
0
»
v
f
/
d
j
k
f
'
k
i
zk
I
r
d
h
A
40. The sum of ages of some children is y. After 7 years, the sum of
their ages become y + 56. What should be the number of
children?
(a)
5
(b)
8
(c)
7
(d)
y
o
qQ
N
c
P
p
k
sa d
h
v
k
;
qd
k
;
k
sx
yg
SA
7
o
"
k
Zc
k
n
m
u
d
h
v
k
;
qv
k
sa d
k
;
k
sx
y+56 g
k
sx
;
k
A
c
P
p
k
sa d
h
l
a[
;
k
K
k
r
d
j
k
s\
(a)
5
(b)
8
(c)
7
(d)
y
41. A triangle ABC is right angled at B. If co-ordinates of A and B are
(6, –5) and (3, –2), then co-ordinates of C are :
(a)
(–1, –4)
(b)
(1, –4)
(c)
(4, –1)
(d)
None of the above
D
ABC e
sa ∠
B = 90º r
F
k
k
Av
k
Sj
Bo
sQ
f
u
n
sZ'
k
k
ad
Ø
e
'
k
%
(
6
]
&
5
)
r
F
k
k
(
3
]
&
2
)
g
SA
C
o
sQ
f
u
n
sZ'
k
k
ad
D
;
k
g
Sa\
(a)
(–1, –4)
(b)
(1, –4)
(c)
(4, –1)
(d)
None of the above
42. Find the value of ‘?’
625 −
225 =
?+
10
(a) 400
(b)
10
(c)
(d)
100
20
?d
k
e
k
u
g
S%
(a)
400
(b)
10
(c)
20
(d)
100
43. Which of the following equations has equal roots :
2
2 acx +
c=
0
(a) ax +
2 acx +
2c =
0
(b) ax 2 +
(c) 2ax 2 +
2 acx +
c=
0
Ÿ(d) ax 2 +
2acx +
c=
0
f
u
E
u
e
sa l
sf
d
l
l
e
h
d
j
.
k
o
sQ
e
wy
l
e
k
u
g
S%
2 acx +
c=
0
(a) ax 2 +
(b) ax 2 +
2 acx +
2c =
0
(c) 2ax 2 +
2 acx +
c=
0
(d) ax 2 +
2acx +
c=
0
44. Select the pair of equations with no solution :
(i)
4x – 6y = 20
(ii)
2x + 3y = 10
(iii) 12x – 18y = 60
(iv)
2x – 3y = 12
(a)
[(i), (ii)]
(b)
[(ii), (iii)]
(c)
[(i), (iii)]
(d)
[(iv), (i)]
o
g
l
e
h
d
j
.
k
;
qX
e
N
k
¡f
V
,
f
t
l
d
k
d
k
sb
Zg
y
u
g
h
a%
(i)
4x – 6y = 20
(ii)
2x + 3y = 10
(iii) 12x – 18y = 60
(iv)
2x – 3y = 12
(a)
[(i), (ii)]
(b)
[(ii), (iii)]
(c)
[(i), (iii)]
(d)
[(iv), (i)]
45. A radio taxi charges Rs. 25/- for the first km and Rs. 18/- per km
for the subsequent distance. Ashutosh and his grand father
went to Birla Mandir by this taxi. Which of the following amount
could be the possible fare paid by them?
(a)
Rs. 105
(b)
Rs. 115
(c)
Rs. 125
(d)
Rs. 135
,
d
j
sf
M
;
k
sV
SD
l
h
d
k
f
d
j
k
;
k
i
zF
k
e
f
d
y
k
se
h
V
j
o
sQ
f
y
,
2
5
#
i
;
sv
k
Sj
v
x
y
si
zR
;
sd
f
d
y
k
se
h
V
j
o
sQ
f
y
,
1
8
#
i
;
sg
SA
v
k
'
k
qr
k
s"
k
v
k
Sj
m
u
o
sQ
n
k
n
k
b
l
V
SD
l
h
}
k
j
k
f
c
j
y
k
e
af
n
j
n
s[
k
u
sx
,
A
m
u
o
sQ
}
k
j
k
f
n
,
x
,
H
k
k
M
sd
h
j
k
f
'
k
f
u
E
u
e
sa l
sD
;
k
g
k
sl
d
r
h
g
S\
(a)
105 #
i
;
s
(b)
115 #
i
;
s
(c)
125 #
i
;
s
(d)
135 #
i
;
s
46. A right angled triangle has its area equal to that of area of
square whose side is 6 cm. What is the height of the triangle if it
is twice its base :
(a)
6 cm
(b)
12 cm
(c)
9 cm
(d)
7 cm
,
d
l
e
d
k
s.
k
f
=
k
H
k
qt
d
k
{
k
s=
k
i
Q
y
,
d
,
sl
so
x
Zo
sQ
{
k
s=
k
i
Q
y
o
sQ
c
j
k
c
j
g
Sf
t
l
d
h
H
k
qt
k
6
l
se
h
g
SA
b
l
f
=
k
H
k
qt
d
h
Å
¡p
k
b
Zb
l
d
h
v
k
/
k
j
d
h
n
qx
qu
h
g
k
sr
k
s]
f
=
k
H
k
qt
d
h
Å
¡p
k
b
ZK
k
r
d
h
f
t
,
%
(a)
6l
se
h
(b)
12 l
se
h
(c)
9l
se
h
(d)
7l
se
h
47. Value of cos2 68º – sin2θ
will be 0 if θ
is equal to
(a)
45º
(c)
22º
(b)
68º
(d)
30º
cos 68º – sin θ
d
k
e
k
u
'
k
wU
;
g
k
sx
k
;
f
n
θ
d
k
e
k
u
g
S%
2
(a)
2
45º
(b)
68º
(c)
22º
(d)
30º
48. Which of these expressions has value equal to 2?
(a)
sin30º cos30º
+
sin 60º cos 60º
(b)
sin35º cos35º
+
cos35º sin35º
(c)
sin70º cos70º
+
cos 20º sin 20º
(d)
sin30º sin50º
+
sin 60º sin 40º
f
d
l
O
;
at
d
d
k
e
k
u
2
o
sQ
c
j
k
c
j
g
S%
cos30º
(a) sin30º +
sin 60º cos 60º
cos35º
(b) sin35º +
cos35º sin35º
cos70º
(c) sin70º +
cos 20º sin 20º
sin50º
(d) sin30º +
sin 60º sin 40º
49. What is the value of θ
?
2χ
θ
χ
(a)
30º
(b)
45º
(c)
60º
(d)
90º
θ
d
k
e
k
u
D
;
k
g
S%
2χ
θ
χ
(a)
30º
(b)
45º
(c)
60º
(d)
90º
50. Find the value of x + y?
y
9m
x
8m
12m
(a)
35 m
(b)
34 m
(c)
32 m
(d)
30 m
(x + y) d
k
e
k
u
K
k
r
d
h
f
t
,
%
(a)
35 m
(b)
34 m
(c)
32 m
(d)
30 m
51.
x
q
p
r
x
Choose the triplet which could possibly represent values of
angles p, q and r respectively.
o
g
f
=
k
d
p
qf
u
;
st
k
sØ
e
'
k
%
d
k
s.
k
k
sa p, q r
F
k
k
ro
sQ
e
k
u
k
sa d
k
sf
u
#
f
i
r
d
j
l
d
r
k
g
SA
(a)
(50º, 60º, 40º)
(b)
(40º, 50º, 60º)
(c)
(60º, 50º, 40º)
(d)
(40º, 60º, 50º)
52. A number consists of two digits, the digit in the unit’s place
being four times that in the tens place. If the digits are reversed,
the new number is increased by 2, equals three times the old
number. Find the number.
(a)
82
(b)
28
(c)
26
(d)
62
n
k
sv
ad
k
sa d
h
,
d
l
a[
;
k
e
sa b
Zd
k
b
Zv
ad
n
g
k
b
Zv
ad
d
k
p
k
j
x
qu
k
g
SA
;
f
n
v
ad
v
i
u
k
L
F
k
k
u
c
n
y
y
sr
sg
Sa r
k
si
zk
I
r
l
a[
;
k
e
sa 2
t
k
sM
+u
si
j
o
g
e
wy
l
a[
;
k
o
sQ
r
h
u
x
qu
k
o
sQ
c
j
k
c
j
g
k
st
k
r
h
g
SA
l
a[
;
k
D
;
k
g
S\
(a)
82
(b)
28
(c)
26
(d)
62
53. Sumit walks 10 metres westward, then turns left and walks 10
meters. He takes a 45º turn rightwards and walks straight. In
which direction is he walking now?
(a)
South
(b)
West
(c)
South-East
(d)
South-West
l
qf
e
r
1
0
e
h
V
j
i
f
'
p
e
d
h
v
k
sj
t
k
r
k
g
S]
f
i
Q
j
c
k
,
¡e
qM
+d
j
1
0
e
h
V
j
t
k
r
k
g
SA
o
g
4
5
º
n
k
b
±e
qM
+d
j
l
h
/
k
p
y
r
k
g
SA
v
c
c
r
k
v
k
so
g
f
d
l
f
n
'
k
k
e
sa p
y
j
g
k
g
SA
(
a)
n
f
{
k
.
k
(
b
)
i
f
'
p
e
(
c
)
n
f
{
k
.
k
&
i
wo
Z
(
d
)
n
f
{
k
.
k
&
i
f
'
p
e
54. The income of A and B are in the ratio of 4:3 and their
expenditure is in the ratio of 2:1. If each one saves Rs.1000.
What is the income of A :
(a)
Rs. 500
(b)
Rs. 1000
(c)
Rs. 2000
(d)
Rs. 5000
;
f
n
Av
k
Sj
Bd
h
v
k
e
n
u
h
d
k
v
u
qi
k
r
4
%
3
o
m
u
o
sQ
[
k
p
Zd
k
v
u
qi
k
r
2
%
1
g
S;
f
n
n
k
su
k
sa
1
0
0
0
#
i
;
sd
h
c
p
r
d
j
r
sg
k
sr
k
sAd
h
v
k
e
n
u
h
g
k
sx
h
A
(
a)
5
0
0
#
i
;
s
(
b
)
1
0
0
0
#
i
;
s
(
c
)
2
0
0
0
#
i
;
s
(
d
)
5
0
0
0
#
i
;
s
55. Select the missing number from the given responses :
1
4
?
4
2
5
2
2
3
49
64
169
(a)
3
(b)
6
(c)
5
(d)
4
v
K
k
r
l
a[
;
k
(
\
)
K
k
r
d
j
k
s%
(a)
3
(b)
6
(c)
5
(d)
4
56. The ratio of the cost price and selling price of an article is 20:21.
The gain percent is :
(a)
3
(b)
4
(c)
5
(d)
6
f
d
l
h
o
L
r
qo
sQ
Ø
;
e
wY
;
r
F
k
k
f
o
Ø
;
e
wY
;
d
k
v
u
qi
k
r
2
0
%
2
1
g
Sr
c
y
k
H
k
i
zf
r
'
k
r
g
S\
(a)
3
(b)
4
(c)
5
(d)
6
57. LCM of 5, 8, 12, 20 will not be a multiple of :
5
]
8
]
1
2
]
2
0
d
k
e
g
Ù
k
e
l
e
k
o
r
Zd
f
d
l
d
k
x
q.
k
t
u
g
h
ag
k
sx
k
\
(a)
5
(b)
3
(c)
9
(d)
2
58. Mode and mean of a data are 12K and 15K. Median of the data is
:
f
d
l
h
v
k
¡d
M
+s d
k
c
g
qy
d
o
e
k
è
;
1
2
Ko
1
5
Kg
SA
v
k
ad
M
k
sa d
k
e
k
è
;
d
g
Sµ
(a)
12K
(b)
14K
(c)
15K
(d)
16K
59. Two pipes can fill a water tank in 9 hours and 12 hours
respectively. In how much time they fill the cistern when
opened together :
(a)
5 hours
(b)
(c) 5 1 hours
7
21 hours
(d) 4 1 hours
7
n
k
si
k
b
i
,
d
V
ad
h
d
k
s9
?
k
aV
so
1
2
?
k
aV
se
sa Ø
e
'
k
%
i
wj
k
H
k
j
r
sg
SA
f
d
r
u
sl
e
;
e
sa o
sn
k
su
k
sa
i
k
b
i
f
e
y
d
j
b
l
V
ad
h
d
k
sH
k
j
n
sax
sA
(a)
5?
k
aV
s
(b)
(c) 5 1 hours
?
k
aV
s
7
21 ?
k
aV
s
(d) 4 1 hours
?
k
aV
s
7
60. The average of 15 numbers is 15 and the average of first 8
numbers is 8. What is the average of the last seven numbers?
(a)
36
(b)
38
(c)
23
(d)
43
;
f
n
1
5
l
a[
;
k
d
k
v
k
Sl
r
1
5
g
Sr
F
k
k
i
zF
k
e
8
l
a[
;
k
v
k
sa d
k
v
k
Sl
r
8
g
Sr
k
sc
p
h
g
qb
Z7
l
a[
;
k
v
k
sa d
k
v
k
Sl
r
D
;
k
g
k
sx
k
\
(a)
36
(b)
38
(c)
23
(d)
43
61. Which are numbers that make their presence felt in only one of
the geometric figures
6 1
2
3
8 7
4
9
d
k
Su
&
l
h
l
a[
;
k
,
¡o
sQ
o
y
,
d
g
h
T
;
k
f
e
r
h
;
v
k
Ñ
f
r
e
sa v
k
r
h
g
Sa %
(a)
(4, 6, 7)
(b)
(1, 2, 9)
(c)
(3, 7, 9)
(d)
(2, 3, 8)
62. A man on the top of a tower standing on the sea shore. Finds
that a boat coming towards him takes 10 minutes for the angle
of depression to change from 30º to 60º. How soon will the boat
reach the sea shore?
(a)
(c)
5 minutes
(b)

3 minutes (d)
√
10 minutes
None of these
,
d
v
k
n
e
h
l
k
x
j
o
sQ
f
d
u
k
j
sf
L
F
k
r
,
d
V
k
o
j
i
j
[
k
M
+k
g
So
v
i
u
h
r
j
i
Q
v
k
r
h
u
k
o
d
k
s
n
s[
k
r
k
g
SA
m
l
u
k
o
d
k
v
o
u
e
u
d
k
s.
k
1
0
f
e
u
V
e
sa 3
0
ºl
s6
0
ºe
sa c
n
y
r
k
g
SA
u
k
o
f
d
r
u
h
n
sj
e
sa f
d
u
k
j
si
j
i
g
q¡p
sx
h
\
(a)
5
f
e
u
V
(b)

3
(c) √
f
e
u
V (d)
1
0
f
e
u
V
b
u
e
sa l
sd
k
sb
Zu
g
h
a
63. Choose a pair of points which can be the end points of a
diameter of some circle with centre 0 (2, 1) :
o
sQ
U
æ
0
(
2
]
1
)
o
k
y
sf
d
l
h
o
`r
o
sQ
,
d
O
;
k
l
o
sQ
f
l
j
k
sa o
sQ
f
y
,
l
g
h
f
c
an
q;
qX
e
N
k
¡f
V
,
%
(a)
A (–5, –2), B (9, 6) (b)
P (–3, –1), Q(7, 3)
(c)
K (–3, –1), L (9, 4) (d)
S (–3, –1), M (–5, 2)
64. The cost price of an article is 64% of marked price. The gain
percentage after allowing a discount of 12% on the marked
price is :
(a)
37.5%
(b)
48%
(c)
50.5%
(d)
52%
,
d
o
L
r
qd
k
Ø
;
e
wY
;
m
l
o
sQ
v
af
d
r
e
wY
;
d
k
6
4
»
g
SA
v
af
d
r
e
wY
;
i
j
1
2
»
c
V
~V
k
n
su
s
o
sQ
i
'
p
k
r
~o
L
r
qd
k
y
k
H
k
i
zf
r
'
k
r
D
;
k
g
k
sx
k
%
(a)
37.5%
(b)
48%
(c)
50.5%
(d)
52%
In a library, details of no. of novels (N), story books (s) and
poetry books (P) in Hindi (H), English (E) and Regional
languages (R) is given in the following table :
Category
Story Novel
Poetry
Language
(S)
(N)
(P)
Hindi (H)
960
480
240
English (E)
600
300
300
Regional
60
120
180
Languages (R)
,
d
i
qL
r
d
k
y
;
e
sa l
ax
zf
g
r
f
g
an
h
(
H)
v
ax
zst
h
(
E
)
r
F
k
k
{
k
s=
k
h
;
H
k
k
"
k
k
v
k
sa (
R)
o
sQ
m
i
U
;
k
l
k
sa]
(
N)
d
g
k
f
u
;
k
sa d
h
i
qL
r
d
k
sa (
S)
r
F
k
k
d
f
o
r
k
l
ax
zg
k
sa (
P)
d
h
l
a[
;
k
d
k
C
;
k
Sj
k
f
u
E
u
r
k
f
y
d
k
e
sa g
SA
o
x
Z
d
g
k
u
h
m
i
U
;
k
l
d
f
o
r
k
H
k
k
"
k
k
(S)
f
g
an
h
(H)
960 480
240
v
ax
zst
h
(E)
600 300
300
{
k
s=
k
h
;
(R)H
k
k
"
k
k
;
sa
60
180
(N)
120
(P)
65. Which of the following figures represents story books in Hindi
(H), English (E) and regional languages (R)?
d
k
Su
&
l
k
f
p
=
k
f
g
U
n
h
(
H)
,
v
ax
zst
h
(
E)
r
F
k
k
{
k
s=
k
h
;
H
k
k
"
k
k
v
k
sa (
R)
d
h
d
g
k
f
u
;
k
sa d
h
i
qL
r
d
k
sa d
k
f
u
#
i
j
.
k
d
j
j
g
k
g
S\
H,
E,
R
(i)
(ii)
(iii)
(iv)
(a)
(i)
(b)
(ii)
(c)
(iii)
(d)
(iv)
66. Total books
:
Total books
:
Total books in = ?
in English
in Hindi
Regional languages
v
ax
zst
h
d
h
o
qQ
y
%
f
g
an
h
d
h
%
{
k
s=
k
h
;
H
k
k
"
k
k
v
k
sa d
h
¾
\
i
qL
r
o
saQ
o
qQ
y
i
qL
r
o
saQ
o
qQ
y
i
qL
r
o
saQ
(a)
14 : 10 : 3
(b)
10 : 14 : 3
(c)
9:5:4
(d)
5:9:4
67. Which of the following diagrams represents distribution of
total books of regional languages among the three categories
of story, Novel and Poetry?
d
k
Su
&
l
k
f
p
=
k
{
k
s=
k
h
;
H
k
k
"
k
k
v
k
sa d
h
o
qQ
y
i
qL
r
d
k
sa d
k
d
g
k
u
h
(
S)
,
m
i
U
;
k
l
(
N)
r
F
k
k
d
f
o
r
k
(
P)
o
x
k
s± e
sa c
aV
u
n
'
k
k
Zr
k
g
S\
N
P
S
N
(a)
N
S
S
P
P
P
S
(b)
(c)
N
(d)
68. What is the ratio of the total no. of poetry books to the total no.
of story books ?
d
f
o
r
k
l
ax
zg
d
h
o
qQ
y
i
qL
r
d
k
sa d
k
d
g
k
u
h
l
ax
zg
d
h
d
qy
i
qL
r
d
k
sa l
sD
;
k
v
u
qi
k
r
g
S\
(a)
9:4
(b)
7 : 13
(c)
4:9
(d)
8 : 15
Passsage: From 1st May 13 to 7th May 13, a camp was organised in
S.V. Sector-15, Rohini for making Aadhar Card. Number of male
females and children visited the camp for registration of
Aadhar Card is mentioned in the following table :
v
k
/
k
j
d
k
M
Zo
sQ
u
k
e
k
ad
u
g
sr
ql
o
k
sZn
;
f
o
|
k
y
;
l
sD
V
j
&
1
5
]
j
k
sf
g
.
k
h
e
sa e
b
Z1
]
2
0
1
3
l
se
b
Z
7
]
2
0
1
3
r
d
o
SQ
E
i
y
x
k
;
k
x
;
k
f
t
l
e
sa b
u
7
f
n
u
k
sa e
sa o
SQ
E
i
e
sa v
k
,
i
q#
"
k
k
sa e
f
g
y
k
v
k
sa r
F
k
k
c
P
p
k
sa d
h
l
a[
;
k
f
u
E
u
l
k
j
.
k
h
}
k
j
k
i
zn
f
'
k
Zr
d
h
x
b
Zg
SA
l
k
j
.
k
h
d
k
v
è
;
;
u
d
j
o
sQ
f
u
E
u
i
z'
u
k
sa d
k
m
Ù
k
j
n
k
sA
Date
Male Female
f
n
u
k
ad
i
q#
"
ke
f
g
y
k
,
¡
c
P
p
s
1/5/13
100
50
25
2/5/13
75
23
40
3/5/13
25
18
20
4/5/13
28
158
75
5/5/13
29
12
14
6/5/13
40
29
20
7/5/13
400
20
76
Children
69. What is the ratio of male for registration on 1/5/13 and 3/5/13.
1
@
5
@
1
3
r
F
k
k
3
@
5
@
1
3
d
k
su
k
e
k
af
d
r
i
q#
"
k
k
sa d
k
v
u
qi
k
r
g
S%
(a)
4:1
(b)
1:4
(c)
2:5
(d)
5:2
70. What is the percentage of children registered on 4/5/13 to the
total number of children registered.
4
@
5
@
1
3
d
k
su
k
e
k
af
d
r
g
q,
c
P
p
k
sa d
h
l
a[
;
k
d
k
o
qQ
y
u
k
e
k
af
d
r
g
q,
c
P
p
k
sa i
j
i
zf
r
'
k
r
K
k
r
d
j
k
sA
(a)
27.55%
(b)
27.77%
(c)
27.99%
(d)
27.44%
71. What the mean of female registered in 7 days?
b
u
l
k
r
f
n
u
k
sa e
sa u
k
e
k
af
d
r
e
f
g
y
k
v
k
sa d
k
v
k
Sl
r
K
k
r
d
j
k
s%
(a)
44.28
(b)
45.28
(c)
42.28
(d)
44.38
72. Median of all the children in 7 days is :
b
u
7
f
n
u
k
sa e
sa o
qQ
y
c
P
p
k
sa d
k
e
k
è
;
d
g
S%
(a)
25
(b)
40
(c)
20
(d)
14
Read the following passage and answer the passage that
follow:
In a family a couple has 2 sons Arsul and Akshat. The age of
father is 3 times that of Akshat and age of Arshul is half of his
mother. Now wife is 9 years younger to her husband and the
difference between age of Arshul and Akshat is 7 years while
Akshat is younger to Arshul.
Now answer the following question :
73. What is the age of wife :
(a)
50 years
(b)
40 years
(c)
60 years
(d)
70 years
74. What will be the ratio of ages of Arshul and Akshat after 5 years :
(a)
28 : 35
(b)
17 : 30
(c)
35 : 28
(d)
30 : 17
75. What is the difference in age of father and Arshul :
(a)
37 years
(b)
39 years
(c)
29 years
(d)
59 years
76. How old mother was from Akshat 2 years back :
(a)
32 years
(b)
12 years
(c)
22 years
(d)
42 years
f
u
E
u
f
y
f
[
k
r
v
u
qP
N
sn
d
k
si
f
<
+;
sr
F
k
k
f
n
,
x
,
ç
'
u
k
sa d
sm
Ù
k
j
n
h
f
t
,
A
,
d
i
f
j
o
k
j
e
sa ,
d
n
ai
f
Ù
k
o
sQ
n
k
si
q=
k
v
'
k
qZy
o
v
{
k
r
F
k
sA
f
i
r
k
d
h
v
k
;
qv
{
k
r
d
h
v
k
;
qd
k
s
r
h
u
x
qu
k
F
k
h
A
t
c
f
d
v
'
k
qZy
d
h
v
k
;
qv
i
u
h
e
k
r
k
d
h
v
k
;
qd
k
v
k
/
k
F
k
k
A
;
f
n
v
c
i
R
u
h
i
f
r
l
s9
o
"
k
ZN
k
sV
h
g
k
sr
F
k
k
v
'
k
qZy
o
v
{
k
r
d
h
v
k
;
qe
sa 7
o
"
k
Zd
k
v
ar
j
g
k
sr
k
st
c
f
d
v
{
k
r
v
'
k
qZy
l
sN
k
sV
k
g
Sr
k
sµ
f
u
E
u
i
z'
u
k
sa o
sQ
m
Ù
k
j
n
sa %
i
R
u
h
d
h
v
k
;
qf
d
r
u
h
g
SA
(a)
50 o
"
k
Z
(b)
40 o
"
k
Z
(c)
60 o
"
k
Z
(d)
70 o
"
k
Z
v
'
k
qZy
o
v
{
k
r
d
h
5
o
"
k
Zc
k
n
d
h
v
k
;
qd
k
v
u
qi
k
r
g
S%
(a)
28 %
35
(b)
17 %
30
(c)
35 %
28
(d)
30 %
17
f
i
r
k
o
v
'
k
qZy
d
h
m
e
ze
sa v
ar
j
g
S%
(a)
49 o
"
k
Z
(b)
29 o
"
k
Z
(c)
39 o
"
k
Z
(d)
59 o
"
k
Z
e
k
¡v
{
k
r
l
s2
o
"
k
Zi
wo
Zf
d
r
u
h
c
M
+h
F
k
h
%
(a)
32 o
"
k
Z
(b)
12 o
"
k
Z
(c)
22 o
"
k
Z
(d)
42 o
"
k
Z
Read the following passage and answer the question that
follow:
Arpit and Amit has made 2 special type of cubes whose
alternate faces are red and blue. They marked ‘•’ on two red
faces and one blue face. They develop a new game to play with
these colourful cubes. They throw these cubes simaltaneously
and get different combination :
Answer the following questions :
77
78
79
80
Probability of getting red faces which mark ‘•’ on both cubes :
(a)
1
12
(b)
(c)
3
16
(d)
1
16
1
4
9
Probability of getting blue faces with mark ‘•’ at least on one
cubes :
(a)
3
16
(b)
7
11
16
36
(c)
5
16
(d)
1
16
Probability of getting without marked ‘•’ faces on both cubes :
(a)
1
4
(b)
8
16
(c)
1
2
(d)
2
3
Probability of getting blue marked ‘•’ faces on one cube and red
coloured face on other cubes :
(a)
4
16
(b)
3
4
(c)
1
18
4
(d)
3
16
v
f
i
Zr
r
F
k
k
v
f
e
r
u
s2
f
o
f
H
k
U
u
i
zd
k
j
o
sQ
?
k
u
v
i
u
s[
k
sy
u
so
sQ
f
y
,
c
u
k
,
f
t
u
d
h
,
d
i
Q
y
d
y
k
y
r
F
k
k
,
d
i
Q
y
d
u
h
y
k
F
k
k
v
F
k
k
Zr
~r
h
u
&
r
h
u
i
Q
y
d
u
h
y
sr
F
k
k
r
h
u
i
Q
y
d
y
k
y
i
zR
;
sd
?
k
u
o
sQ
i
saV
d
j
f
n
,
A
b
l
o
sQ
v
f
r
f
j
D
r
n
k
sy
k
y
i
Q
y
d
k
sa i
j
,
d
‘ • ’ f
p
g
~u
r
F
k
k
,
d
u
h
y
si
Q
y
d
i
j
‘ • ’ f
p
g
~u
v
af
d
r
f
d
;
k
;
k
A
v
c
n
k
su
k
sa u
sb
l
j
ax
h
u
?
k
u
k
sa l
s
[
k
sy
u
k
i
zk
j
aH
k
f
d
;
k
A
m
U
g
k
sau
sn
k
su
k
sa ?
k
u
k
sa d
k
s,
d
l
k
F
k
i
saQ
d
k
A
m
u
o
sQ
?
k
u
k
sa o
sQ
c
k
j
se
sa l
k
sp
r
sg
q,
f
u
E
u
i
z'
u
k
sa o
sQ
m
Ù
k
j
n
k
s%
i
z7
7
n
k
su
k
sa ?
k
u
k
sa i
j
y
k
y
‘•’ f
p
g
~u
o
k
y
sy
k
y
i
Q
y
d
v
k
u
sd
h
i
zk
f
;
d
r
k
D
;
k
g
S\
(a)
1
12
(b)
1
16
(c)
3
16
(d)
1
9
i
z7
8
?
k
u
k
sa e
sa l
sf
d
l
h
,
d
i
j
‘•’ f
p
g
~u
o
k
y
su
h
y
si
Q
y
d
v
k
u
sd
h
i
zk
f
;
d
r
k
D
;
k
g
S\
(a) 3
16
(b)
11
36
(c) 5
16
(d)
1
16
i
z7
9
n
k
su
k
sa ?
k
u
k
sa i
j
f
c
u
k
‘•’ f
p
g
~u
o
k
y
k
i
Q
y
d
v
k
u
sd
h
i
zk
f
;
d
r
k
D
;
k
g
S\
1
(a) 4
1
(c) 2
(b)
8
16
(d)
2
3
i
z8
0
,
d
?
k
u
i
j
‘ • ’ o
k
y
k
u
h
y
k
i
Q
y
d
r
F
k
k
n
wl
j
s?
k
u
i
j
y
k
y
i
Q
y
d
v
k
u
sd
h
i
zk
f
;
d
r
k
D
;
k
g
S\
(a)
(c)
4
16
1
18
4
(b)
3
4
(d)
3
16
81. A convex lens is of focal length 10 cm. What is its power :
(a)
+10 dioptre
(b)
–10 dioptre
(c)
10 dioptre
(d)
+1.0 diptre
,
d
m
Ù
k
y
y
sal
f
t
l
d
h
i
Q
k
sd
l
n
wj
h
1
0
l
se
h
g
S]
m
l
d
h
{
k
e
r
k
D
;
k
g
k
sx
h
%
(a)
$
1
0
M
k
b
I
V
j
(b)
µ
1
0
M
k
b
I
V
j
(c)
1
0
M
k
b
I
V
j
(d)
$
1
0
M
k
b
I
V
j
82. The focal lengths of four convex lenses P, Q, R and S are 20 cm,
15 cm, 5 cm and 10 cm respectively. The lens having greatest
power is :
(a)
P
(b)
Q
(c)
R
(d)
S
p
k
j
m
Ù
k
y
y
sal
k
sa P, Q, R, S d
h
i
Q
k
sd
l
n
wj
h
2
0
l
se
h
]
1
5
l
se
h
]
5
l
se
h
v
k
Sj
1
0
l
se
h
Ø
e
k
u
ql
k
j
g
SA
y
sal
f
t
l
e
sa v
f
/
d
r
e
{
k
e
r
k
g
So
g
%
(a)
P
(b)
Q
(c)
R
(d)
S
83. The least count of the voltmeter shown below is :
1
2
0
3
(a)
0.1v
(b)
0.01v
(c)
0.02v
(d)
0.2v
f
n
,
x
,
o
k
sY
V
e
h
V
j
d
h
v
Y
i
r
e
e
k
i
D
;
k
g
k
sx
h
%
(a)
0
1
o
k
sY
V
(b)
0
0
1
o
k
sY
V
(c)
0
0
2
o
k
sY
V
(d)
0
2
o
k
sY
V
84. A person crosses a 600 m long street in 5 minutes. What is his
speed in km/hr.
,
d
O
;
f
D
r
6
0
0
e
h
V
j
y
E
c
h
x
y
h
d
k
s5
f
e
u
V
e
sa i
k
j
d
j
r
k
g
Sm
l
d
h
p
k
y
f
d
e
h
?
k
aV
k
e
sa c
r
k
v
k
sA
f
n
,
x
,
o
k
sY
V
e
h
V
j
d
h
v
Y
i
r
e
e
k
i
D
;
k
g
k
sx
h
%
(a)
8.2
(b)
4.2
(c)
6.1
(d)
7.2
85. When a 4Ω
and 2Ω
resistors are connected in series the
equivalent resistance will be :
(a)
<4Ω
(b)
<2Ω
(c)
>6Ω
(d)
6Ω
t
c
,
d
4
v
k
se
v
k
Sj
2
v
k
se
(
W)
i
zf
r
j
k
s/
d
k
sg
e
J
s.
k
h
Ø
e
e
sa t
k
sM
+r
sg
Sa r
k
so
qQ
y
i
zf
r
j
k
s/
f
d
l
o
sQ
c
j
k
c
j
g
S%
(a)
<4Ω
(b)
<2Ω
(c)
>6Ω
(d)
6Ω
86. A beaker (0 – 20 ml) has water of 10 ml with some ice cubes. As
all the ice cubes melts the level will be :
(a)
15 ml
(b) 10 ml
(c)
12 ml
(d) depending upon no. of ice cubes
,
d
c
h
d
j
(
0
&
2
0
f
e
y
h
)
f
t
l
e
sa 1
0
f
e
y
h
t
y
g
So
o
qQ
N
c
i
ZQ
o
sQ
V
qd
M
+s g
SaA
l
H
k
h
c
i
ZQ
o
sQ
V
qd
M
+s f
i
?
k
y
u
si
j
m
l
d
k
L
r
j
D
;
k
g
k
sx
k
A
(a)
15 f
e
y
h
(b) 10 f
e
y
h
(c)
12 f
e
y
h
(d) c
i
ZQ
o
sQ
V
qd
M
+k
sa d
h
l
a[
;
k
i
j
f
u
H
k
Zj
d
j
r
k
g
SA
87. A current flows in a wire running between the S and N poles of a
magnet lying horizontally as shown in fig.
Current
S
N
The force of the wire due to the magnet is directed :
(a)
from N to S
(b) from S to N
(c)
Vertically downwards
(d) Vertically upwards
,
d
r
k
j
e
sa i
zo
k
f
g
r
f
o
|
qr
/
k
j
k
p
qac
d
o
sQ
n
k
s/
zqo
k
sa o
sQ
c
h
p
{
k
sf
r
t
j
[
k
h
x
b
Zg
Sp
qac
d
}
k
j
k
r
k
j
i
j
y
x
u
so
k
y
k
c
y
f
d
l
f
n
'
k
k
e
sa y
x
j
g
k
g
SA
(a)
Nl
sSd
h
v
k
sj
(b)
Sl
sN d
h
v
k
sj
(c)
u
h
p
sd
h
v
k
sj
y
ac
o
r
~
(d)
Å
i
j
d
h
v
k
sj
y
ac
o
r
~
88. An electron beam enters a magnetic field at right angles to it as
shown in the figure :
magnetic field
Electron beam
The direction of force acting on the electron beam will be
(a)
to the left
(b)
to the right
(c)
into the page
(d)
out of the page
,
d
b
y
sD
V
ªk
u
i
qat
f
d
l
h
p
qac
d
h
;
{
k
s=
k
e
sa l
e
d
k
s.
k
i
j
i
zo
s'
k
d
j
r
k
g
St
Sl
k
f
d
f
p
=
k
e
sa
n
'
k
k
Z;
k
x
;
k
g
S]
r
k
sb
y
sD
V
ªk
u
i
qat
i
j
y
x
u
so
k
y
sc
y
d
h
f
n
'
k
k
g
k
sx
h
%
(a)
c
k
b
±v
k
sj
(b)
n
k
b
±v
k
sj
(c)
i
st
o
sQ
v
an
j
(d)
i
st
o
sQ
c
k
g
j
89. If the current through a food lamp is 5A what charge passes in
10 seconds :
(a)
0.5 C
(b)
2C
(c)
5C
(d)
50 C
,
d
y
Sai
f
t
l
e
sa 5
,
E
i
h
;
j
d
h
f
o
|
qr
/
k
j
k
i
zo
k
f
g
r
g
k
sj
g
h
g
S]
1
0
l
so
sQ
aM
e
sa f
d
r
u
k
v
k
o
s'
k
i
zo
k
f
g
r
g
k
sx
k
%
(a)
0.5 o
wQ
y
k
e
(b)
2o
wQ
y
k
e
(c)
5o
wQ
y
k
e
(d)
50 o
wQ
y
k
e
90. The figure given alongside shows the image of a clock as seen
in a plane mirror. The correct time is :
(a)
2.25
(b)
2.35
(c)
6.45
(d)
9.25
f
p
=
k
e
sa ?
k
M
+h
d
k
i
zf
r
f
c
ac
l
e
r
y
n
i
Z.
k
e
sa n
'
k
k
Z;
k
x
;
k
g
S]
l
g
h
l
e
;
D
;
k
g
k
sx
k
%
(a)
2.25
(b)
2.35
(c)
6.45
(d)
9.25
91. If the radius of curvature of a spherical mirror is 20 cm. What is
it focal length?
(a)
1.0 cm
(b)
10 cm
(c)
10 m
(d)
1.0 m
;
f
n
,
d
x
k
sy
h
;
n
i
Z.
k
d
h
f
=
k
T
;
k
2
0
l
se
h
g
Sr
k
sm
l
d
h
i
Q
k
sd
l
n
wj
h
D
;
k
g
k
sx
h
\
(a)
1.0 cm
(b)
10 cm
(c)
10 m
(d)
1.0 m
92. Normal human body temp is 37ºC. Its corresponding value on
Kelvin scale is :
(a)
98.6 K
(b)
310 K
(c)
137 K
(d)
217 K
e
k
u
o
'
k
j
h
j
d
k
l
k
e
k
U
;
r
k
i
e
k
u
3
7
º
C
g
S;
g
o
sQ
y
f
o
u
L
o
sQ
y
e
sa D
;
k
g
k
sx
k
%
(a)
98.6 K
(b)
310 K
(c)
137 K
(d)
217 K
93. The refractive indices of four substances P, Q, R and S are 1.50,
1.36, 1.77 and 1.31 respectively. The speed of light is maximum
in the substance :
(a)
P
(b)
Q
(c)
R
(d)
S
p
k
j
i
n
k
F
k
k
s± P
,
Q
,
R
,
Sd
k
v
i
o
r
Zu
k
d
b
l
i
zd
k
j
g
S1
5
0
]
1
3
6
]
1
7
7
v
k
Sj
1
3
1
]
f
d
l
i
n
k
F
k
Ze
sa i
zd
k
'
k
d
h
p
k
y
v
f
/
d
r
e
g
k
sx
h
%
(a)
P
(b)
Q
(c)
R
(d)
S
94. Four students recorded the reading of the potential difference
by observing the position of the pointer of an ideal voltmeter as
shown below :
1
0
2
V
3
The correct reading is :
(a)
2.5v
(b)
2.0v
(c)
2.2v
(d)
2.4v
p
k
j
f
o
|
k
f
F
k
Z;
k
sa u
s,
d
v
k
n
'
k
Zo
k
sY
V
e
h
V
j
i
j
f
o
H
k
o
k
ar
j
d
h
e
k
i
u
k
sV
d
h
A
l
g
h
e
k
i
g
k
sx
h
%
(a)
2
5
o
k
sY
V
(b)
2
0
o
k
sY
V
(c)
2
2
o
k
sY
V
(d)
2
4
o
k
sY
V
95. A student has to connect 4 cells of 2v each to from a battery of
voltage 8v. The correct way of connecting these cells is shown
in fig.
(1) A
(2) b
A
(3) c
B
(4) d
C
D
,
d
f
o
|
k
F
k
h
Zu
si
zR
;
sd
2
o
k
sY
V
o
sQ
4
l
sy
k
sa d
k
st
k
sM
+d
j
8
o
k
sY
V
d
h
c
SV
j
h
c
u
k
b
ZA
b
u
l
sy
k
sa
d
k
st
k
sM
+u
sd
k
sl
g
h
Ø
e
b
l
i
zd
k
j
n
'
k
k
Z;
k
t
k
,
x
k
A
A
B
C
(a)
2
5
o
k
sY
V
(b)
2
0
o
k
sY
V
(c)
2
2
o
k
sY
V
(d)
2
4
o
k
sY
V
D
Consider the food chain :
Grass →
Goat →
Tiger
If tiger has 30J of energy available in this food chain, how much
energy was originally available is grass :
(a)
300 J
(b)
30 J
(c)
3000 J
(d)
30000 J
f
u
E
u
[
k
k
|
J
à[
k
y
k
e
sa %
?
k
k
l
→
c
d
j
h→
c
k
?
k
;
f
n
c
k
?
k
o
sQ
i
k
l
b
l
[
k
k
|
J
à[
k
y
k
e
sa 3
0
t
wy
Å
t
k
Zg
Sr
k
s?
k
k
l
o
sQ
i
k
l
m
i
f
L
F
k
r
Å
t
k
Zd
h
e
k
=
k
k
g
S%
(a)
3
0
0
t
wy
(b)
3
0
t
wy
(c)
3
0
0
0
t
wy
(d)
3
0
0
0
0
t
wy
96. The electronic configuration of an element X is :
K
L
M
N
2
8
8
6
f
d
l
h
r
R
o
X
d
k
b
y
sD
V
ªk
Wf
u
d
f
o
U
;
k
l
g
S%
K
L
M
N
2
8
8
6
97. What is the group number of X in the periodic table :
(a)
2
(b)
3
(c)
8
(d)
6
v
k
o
r
Zl
k
j
.
k
h
e
sa r
R
o
Xd
k
l
e
wg
g
S%
(a)
2
(b)
3
(c)
8
(d)
6
98. What is the period of X in the periodic table :
(a)
II Period
(b)
I Period
(c)
III Period
(d)
IV Period
v
k
o
r
Zl
k
j
.
k
h
e
sa X d
k
v
k
o
r
Zg
S%
(a)
n
wl
j
k
v
k
o
r
Z
(b)
i
g
y
k
v
k
o
r
Z
(c)
r
h
l
j
k
v
k
o
r
Z
(d)
p
k
SF
k
k
v
k
o
r
Z
99. What is the number of valency electron in an atom of X :
(a)
2
(b)
4
(c)
6
(d)
3
Xo
sQ
v
.
k
qv
k
sa e
sa l
a;
k
st
d
r
k
b
y
sD
V
ªk
Wu
k
sa d
h
l
a[
;
k
%
(a)
2
(b)
4
(c)
6
(d)
3
100. What is X in the above :
(a)
metal
(b)
non-metal
(c)
metalloid
(d)
oxide
m
i
j
k
sD
r
XD
;
k
g
S\
(a)
metal
(b)
non-metal
(c)
metalloid
(d)
oxide
MATHEMATICS-X
ANSWERS (
m
Ù
k
j
e
k
y
k
)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
(c) fig.
(b) 512
(a) 520, 738
(i) (b) 4 (ii) (d) 7
(d) 16
(d) 125%
(a) 4
(d) 1
8 3
(a)
(c) fig
(c) 1350 sq. units
(a) 1
(a) 11480
(a) 1.96 sq.m
(c) 4.84 sq. units
(b) (–8, –6)
(b) .03
(b) 8
(c) 13
(d) 216
(d) –25
(b) 34
(c) (61, 63)
(b) 2y + 3x + 10z
25.
(a) 7 1 days
26.
(b)
2
15:4
( )
−
y2 −
4x 2
27.
(c)
28.
29.
(d) 7 2
(d) (2x) + (6z)2
yx
30.
(c)
1
gms
1000
31.
(c)
2
32.
33.
34.
(c)
(b)
(b)
2, 8
20%
37.254
35.
(c)
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
(c)
(c)
(c)
(c)
(b)
(b)
(d)
(a)
(d)
(b)
(b)
(c)
48.
(c)
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
(c)
(c)
(c)
(b)
(a)
(c)
(c)
(c)
(c)
(b)
59.
3
11
2
9x + 5
49/175
(9, –27)
Pradeep got 50% more money than Neha
8
(+1, –4)
100
ax 2 +
2 ac x +
c=
0
[(iv), (i)]
Rs. 115
12 cm
22º
sin70 cos70
+
cos 20 sin 20
60º
32 m
(60º, 50º, 40º)
28
South West
Rs. 2000
5
5
9
14K
1
(c) 5 hrs
7
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
(c)
(b)
(a)
(b)
(a)
(b)
(b)
(b)
(b)
(a)
(b)
(a)
(a)
(b)
(c)
(b)
(a)
(d)
78.
(b)
79.
(a)
80.
(c)
81.
82.
83.
84.
85.
86.
87.
88.
89.
90.
(a)
(c)
(d)
(d)
(d)
(b)
(c)
(c)
(d)
(d)
23
(1, 2, 9)
5 minutes
P(–3, –1), Q (7, 3)
37.5%
fig (ii)
10 : 14 : 3
fig
7 : 13
4:1
27.77%
44.28
25
60 years
5:4
39 years
37 years
1
__
9
11
__
36
1
__
4
1
__
18
+10 dioplre
R
0.2v
7.2
6Ω
10 ml
Vertically downward
into the page
50 C
9.25
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
(d)
(a)
(d)
(c)
(a)
(c)
(d)
(d)
(c)
(a)
1.0 m
98.6 K
(S)
2.2v
(A)
3000 J
6th
IV period
6
metal
Qualitative Reasoning
1.
PSA Book Science
Which of the following venn diagrams correctly illustrates the
relationship among the class, carrot, food, vegetables?
f
u
E
u
e
sa l
sd
k
Su
&
l
k
f
p
=
k
l
e
wg
]
x
k
t
j
]
[
k
k
|
i
n
k
F
k
Zv
k
Sj
l
f
C
t
;
k
sa e
sa l
g
h
l
ac
a/
n
'
k
k
Zr
k
g
S\
.
(a)
(b)
(c)
(d)
Which combination is not correct –
Nutrient
Benefit
1. Calcium
V. primary source of energy
2. Carbohydrate
W. eases bowel movement
3. Fibre
X. strengthens the bones
4. Protein
Y. haemoglobin formation
5. Iron
Z. helps repair body cells
(a) 1, X
(b) 5, Y
(c) 4, W
(d) 2, V
d
k
Su
&
l
k
t
k
sM
+k
x
y
r
g
S&
i
k
s"
k
d
r
R
o
1
-o
SQ
f
Y
'
k
;
e
2
-d
k
c
k
sZg
k
b
M
ªsV
3
-j
s'
k
s
4
-ç
k
sV
h
u
5
-y
k
Sg
k
3.
i
Q
k
;
n
s
V. ç
k
F
k
f
e
d
Å
t
k
Zl
zk
sr
W. e
y
f
o
l
t
Zu
e
sa l
g
k
;
d
g
S
X. g
M
~f
M
;
k
sa d
k
se
t
c
wr
d
j
u
k
Y. g
h
e
k
sX
y
k
sf
c
u
d
k
c
u
u
k
Z. '
k
j
h
j
d
h
d
k
sf
'
k
d
k
v
k
sa d
h
e
j
E
e
r
(a) 1, X
(b) 5, Y
(c) 4, W
(d) 2, V
Good conductor : Copper : : Bad conductor : ........................
(a) Iron
(b) Aluminium
(c) Wood
(d) Coal
l
qp
k
y
d
%
r
k
ac
k
%
%
o
qQ
p
k
y
d
%
(a) y
k
sg
k
(b) ,
Y
;
qe
h
f
u
;
e
(c) y
d
M
+h
(d) d
k
s;
y
k
4.
Which of the following is a hormone?
(a) Aspirin
(b) LSD
(c) Insulin
(d) Cortex
f
u
E
u
e
sa l
sd
k
Su
,
d
g
k
e
k
sZu
g
S\
(a) ,
l
i
h
f
j
u
(b) ,
y
,
l
M
h
(c) b
al
qf
y
u
(d) d
k
V
sZD
l
5.
Three of the following four are alike in a certain way and so form
a group. Which is the one that does not belong to that group?
(a) Iron
(b) Zinc
(c) Copper
(d) Oxygen
f
u
E
u
p
k
j
e
sa l
sr
h
u
,
d
l
e
wg
e
sa v
k
r
sg
SaA
b
u
e
sa l
sd
k
Su
v
U
;
l
sf
H
k
U
u
g
S\
(a) y
k
sg
k
(b) t
L
r
k
(c) r
k
ac
k
(d) v
k
WD
l
h
t
u
6.
Which of the following shows relation between potential
difference, work done and charge moved?
(a) V = ___
W
(b) Q = WV
Q
Q
(c) WQ = V
(d) V = ___
W
f
u
E
u
e
sa l
sd
k
Su
f
o
H
k
o
k
ar
j
]
f
d
;
k
x
;
k
d
k
;
Zv
k
Sj
L
F
k
k
u
k
ar
f
j
r
v
k
o
s'
k
e
sa l
ac
/
n
'
k
k
Zr
k
g
S&
7.
(a) V = ___
W
(b) Q = WV
Q
Q
___
(c) WQ = V
(d) V = W
The correct ratio for melting of gold is
(a) 3 : 1 (conc. HCl + Conc. HNO3)
(b) 2 : 1 (Conc. HCl + NaOH)
(c) 5 : 2 (Conc. HCl + NaOH)
(d) 4 : 1 (Conc. HCl + dil. HNO3)
l
k
su
sd
k
sx
y
k
u
sd
k
l
g
h
v
u
qi
k
r
g
S&
(a) 3 : 1 (l
k
aæ
HCl + l
k
aæ
HNO )
3
8.
(b)
2 : 1 (l
k
aæ
HCl + NaOH)
(c)
5 : 2 (l
k
aæ
HCl + NaOH)
(d)
4 : 1 (l
k
aæ
HCl + r
u
q HNO3)
Choose the odd one out.
(a) Syphilis
(c) Warts
(b)
(d)
Gonorrhoea
Jaundice
f
u
E
u
e
sa l
sm
l
f
o
d
Y
i
d
k
s<
w¡<
k
st
k
sv
U
;
l
sf
H
k
U
u
g
k
s&
(a) f
l
i
Q
f
y
l
(b) x
k
su
sf
j
;
k
(c) e
L
l
k
(d) i
h
f
y
;
k
9.
Magnetism in materials is due to ..................
(a) electrons at rest
(b) circular motion of electrons
(c) protons at rest
(d) all neutrons at rest
i
n
k
F
k
k
s± e
sa p
qE
c
d
h
;
x
q.
k
ç
n
f
'
k
Zr
d
j
u
sd
k
d
k
j
.
k
g
S&
(a) f
o
j
k
e
k
o
L
F
k
k
e
sa b
y
sD
V
ªk
Wu
d
k
g
k
su
k
(b) b
y
sD
V
ªk
Wu
k
sa d
k
o
`Ù
k
h
;
x
f
r
e
sa g
k
su
k
(c) ç
k
sV
k
su
k
sa d
k
f
o
j
k
e
k
o
L
F
k
k
e
sa g
k
su
k
(d) l
H
k
h
U
;
wV
ªk
Wu
k
sa d
k
f
o
j
k
e
k
o
L
F
k
k
e
sa g
k
su
k
10. Nail polish remover generally contains which one of the
following :
(a) Vinegar
(b) Benzene
(c) methyl alcohol
(d) Acetone
u
sy
i
k
Wf
y
'
k
f
j
e
wo
j
e
sa l
k
/
k
j
.
k
r
;
k
i
k
;
k
t
k
r
k
g
S&
(a) f
l
j
d
k
(b) c
sU
t
h
u
(c) f
e
F
k
k
b
Zy
,
Y
d
k
sg
y (d) ,
f
l
V
k
su
11. Hypothalamus regulate the –
(a) circulation of blood
(b)
(c) digestion
(d)
excretion
body temperature
g
k
b
i
k
sF
k
Sy
E
l
f
u
E
u
e
sa l
sf
d
l
d
k
sf
u
;
af
=
k
r
d
j
r
k
g
S&
(a) j
D
r
d
k
i
f
j
l
ap
j
.
k
(b) m
R
l
t
Zu
(c) i
k
p
u
(d) '
k
j
h
j
d
k
r
k
i
e
k
u
12. 1∝
µ
is equal to –
–3
(a) 10
(b)
10
–6
(c)
1/6
(d)
None
1
µ
c
j
k
c
j
g
S&
–3
–6
(a) 10
(b) 10
(c) 1/6
(d) None
13. Two main organs in the human body where magnetic field
produced is significant are :
(a) heart and kidney
(b) brain and kidney
(c) brain and heart
(d) heart and stomach
'
k
j
h
j
o
sQ
n
k
s,
sl
sv
ax
]
f
t
u
e
sa p
qE
c
d
h
;
ç
H
k
k
o
l
o
k
Zf
/
d
g
k
sr
k
g
S&
(a) â
n
;
v
k
Sj
o
`D
d (b) e
f
L
r
"
d
v
k
Sj
o
`D
d
(c) e
f
L
r
"
d
v
k
Sj
â
n
; (d) â
n
;
v
k
Sj
v
e
k
'
k
;
14. What is common in AIDS, mumps and polio?
(a) Young children get affected readily.
(b) No effective vaccines has been developed for them.
(c) They are caused by virus.
(d) Their germs can be transmitted through blood transfusion.
,
M
~l
]
v
k
Sj
i
k
sf
y
;
k
se
sa D
;
k
l
e
k
u
r
k
g
S\
(a) d
e
m
e
zo
sQ
c
P
p
st
Y
n
h
x
zf
l
r
g
k
r
sg
SaA
(b) d
k
sb
ZH
k
h
ç
H
k
k
o
d
k
j
h
m
i
p
k
j
u
g
h
ag
SA
(c) ;
g
l
H
k
h
f
o
"
k
k
.
k
ql
aØ
f
e
r
j
k
sx
g
SaA
(d) b
u
o
sQ
j
k
sx
k
.
k
qj
D
r
L
F
k
k
u
k
ar
j
.
k
}
k
j
k
'
k
j
h
j
e
sa ç
o
s'
k
d
j
l
d
r
sg
SaA
15. A fuse in an electric circuit is used to –
(a) break the circuit when excessive current flows.
(b) control the voltage fluctuation in the circuit.
(c) increase the flow of current in the circuit.
(d) decrease the flow of current in the circuit.
,
d
f
o
|
qr
i
f
j
i
F
k
e
sa Ý
;
wt
d
k
m
i
;
k
sx
g
k
sr
k
g
S&
(a) i
f
j
i
F
k
d
k
sr
k
sM
+u
so
sQ
f
y
,
t
c
v
R
;
f
/
d
f
o
|
qr
/
k
j
k
ç
o
k
f
g
r
g
k
sj
g
h
g
k
sA
(b) i
f
j
i
F
k
e
sa o
k
sY
V
st
o
sQ
?
k
V
u
s&
c
<
+u
sd
k
sf
u
;
af
=
k
r
d
j
u
k
A
(c) i
f
j
i
F
k
e
sa f
o
|
qr
/
k
j
k
d
k
ç
o
k
g
c
<
+k
u
so
sQ
f
y
,
A
(d) i
f
j
i
F
k
e
sa f
o
|
qr
/
k
j
k
d
k
ç
o
k
g
?
k
V
k
u
so
sQ
f
y
,
A
16. The science of heredity is known as –
(a) biology
(b) embryology
(c) genetics
(d) biochemistry
f
o
f
H
k
U
u
y
{
k
.
k
k
sa o
sQ
,
d
i
h
<
+h
l
sn
wl
j
h
i
h
<
+h
e
sa g
L
r
k
ar
j
.
k
o
sQ
o
SK
k
f
u
d
v
è
;
;
u
d
k
sd
g
r
s
g
Sa
(a) t
So
f
o
K
k
u
(b) H
k
zw.
k
f
o
K
k
u
(c) v
k
u
qo
k
af
'
k
d
h
(d) t
So
j
l
k
;
u
17. The opening and closing of the stomatal pore depends upon –
(a) Concentration of
(b) temperature
Oxygen in Stomata
(c) water in guard cells
(d) concentration of CO2 in stomata
j
a/
ze
sa [
k
qy
u
sv
k
Sj
c
an
g
k
su
sd
k
f
u
;
e
u
b
l
l
sg
k
sr
k
g
S&
(a) j
a/
ze
sa v
k
WD
l
h
t
u
d
h
l
k
aæ
r
k (b) r
k
i
e
k
u
(c) }
k
j
d
k
sf
'
k
d
k
v
k
sa e
sa i
k
u
h (d) j
a/
ze
sa CO2 d
k
l
k
aæ
.
k
18. What type of reactions are the source for solar energy?
(a) Fusion reactions
(b) Fission reactions
(c) Combustion reactions (d) Decomposition reaction
f
d
l
ç
d
k
j
d
h
v
f
H
k
f
Ø
;
k
l
k
Sj
Å
t
k
Zd
k
l
zk
sr
g
Sa\
(a) u
k
f
H
k
d
h
;
l
ay
;
u
(b) u
k
f
H
k
d
h
;
f
o
[
k
aM
u
(c) n
g
u
v
f
H
k
f
Ø
;
k
(d) v
i
?
k
V
u
v
f
H
k
f
Ø
;
k
19. The length of a small intestine in a human adult is about –
(a) 4.5 m
(b) 1.5 m
(c) 3.5 m
(d) 6.5 m
,
d
o
;
L
d
e
k
u
o
e
sa {
k
qn
k
a=
k
d
h
y
E
c
k
b
Zg
k
sr
h
g
S&
(a) 4
5
e
h
(b) 1
5
e
h
(c) 3
5
e
h
(d) 6
5
e
h
20. The blue colour of the water in the sea is due to –
(a) reflection of the blue sky by sea water and scattering of blue
light by water molecules.
(b) reflection of the blue light by the impurities in the sea water.
(c) absorption of other colours by water molecules
(d) none
l
e
qæ
o
sQ
t
y
d
k
u
h
y
k
j
ax
g
k
su
sd
k
D
;
k
d
k
j
.
k
g
S&
(a) l
e
qæ
o
sQ
t
y
}
k
j
k
u
h
y
sv
k
l
e
k
u
o
sQ
j
ax
d
k
i
j
k
o
r
Zu
,
o
at
y
o
sQ
v
.
k
qv
k
sa }
k
j
k
u
h
y
sj
ax
d
k
ç
d
h
.
k
Zu
A
(b) l
e
qæ
t
y
d
h
v
'
k
qf
¼
;
k
sa }
k
j
k
u
h
y
sj
ax
d
k
i
j
k
o
r
Zu
A
(c)
t
y
o
sQ
v
.
k
qv
k
sa }
k
j
k
v
U
;
j
ax
k
sa d
k
v
o
'
k
k
s"
k
.
k
A
(d) b
u
e
sa l
sd
k
sb
Zu
g
h
aA
21. The correct sequence of the decreasing order of velocity of
light in glass, diamond and water is –
(a) glass, diamond, water (b) diamond, water, glass
(c) water, glass, diamond (d) diamond, glass, water
ç
d
k
'
k
d
k
o
sx
'
k
h
'
k
k
]
g
h
j
k
v
k
Sj
t
y
e
sa ?
k
V
r
sg
q,
Ø
e
e
sa b
l
ç
d
k
j
l
sg
S&
(a) '
k
h
'
k
k
]
g
h
j
k
]
t
y
(b) g
h
j
k
]
t
y
]
'
k
h
'
k
k
(c) t
y
]
'
k
h
'
k
k
]
g
h
j
k
(d) g
h
j
k
]
'
k
h
'
k
k
]
t
y
22. The speed of light in air is –
8
(a) 3 × 10 cm/s
(b)
8
(c) 3 × 10 km/s
(d)
8
3 × 10 m/s
3 × 108 mm/s
o
k
;
qe
sa ç
d
k
'
k
d
h
p
k
y
g
k
sr
h
g
S&
8
8
(a) 3 × 10 l
se
h
ç
f
r
l
so
sQ
.
M
(b) 3 × 10 e
h
ç
f
r
l
so
sQ
.
M
8
8
(c) 3 × 10 f
d
e
h
ç
f
r
l
so
sQ
.
M
(d) 3 × 10 f
e
e
h
ç
f
r
l
so
sQ
.
M
23. The major component of biogas is –
(a) hydrogen
(b) butane
(c) hydrogen sulphide
(d) methane
t
So
x
Sl
d
k
e
q[
;
?
k
V
d
g
S&
(a) g
k
b
M
ªk
st
u
(b) C
;
wV
su
(c) g
k
b
M
ªk
st
u
l
Y
i
Q
k
b
M (d) f
e
F
k
su
24. Which gas is present inside an electric bulb?
(a) Oxygen
(b) Air
(c) CO2
(d) None
f
o
|
qr
c
Y
c
e
sa d
k
Su
&
l
h
x
Sl
g
k
sr
h
g
S\
(a) v
k
WD
l
h
t
u
(b) o
k
;
q
(c) CO2
(d) b
u
e
sa l
sd
k
sb
Zu
g
h
a
25. The first enzyme to mix with food in the digestive tract is –
(a) pepsin
(b) cellulase
(c) amylase
(d) trypsin
i
k
p
u
{
k
s=
k
e
sa H
k
k
st
u
o
sQ
l
k
F
k
f
e
y
u
so
k
y
k
b
u
e
sa l
si
g
y
k
,
U
t
k
b
e
d
k
Su
&
l
k
g
S\
(a) i
sf
I
l
u
(b) l
sY
;
wy
sl
(c)
(d)
,
f
e
y
sl
f
V
ªf
I
l
u
26. Which of the following ray diagrams correctly depict the ray of
light incident on a lens?
f
u
E
u
e
sa l
sd
k
Su
&
l
k
f
d
j
.
k
v
k
j
s[
k
v
k
i
f
r
r
f
d
j
.
k
o
sQ
i
j
k
o
r
Zu
d
k
sl
g
h
n
'
k
k
Zr
k
g
S\
(a)
(b)
F
F
F
(c)
F
(d)
F
F
F
F
27. Which of the following is known as the “Energy currency of the
cells” in biology?
(a) DTP
(b) PDP
(c) ATP
(d) APT
f
u
E
u
e
sa l
sf
d
l
st
So
f
o
K
k
u
e
sa ^
^
d
k
sf
'
k
d
k
d
h
Å
t
k
Ze
qæ
k
*
*
d
g
k
t
k
r
k
g
S\
(a) DTP
(b) PDP
(c) ATP
(d) APT
28. Which one of the following diagrams best depicts the
relationship among lion, deer and animal?
(a)
(b)
(c)
(d)
m
i
j
k
sD
r
e
sa l
sd
k
Su
&
l
k
f
p
=
k
'
k
sj
]
f
g
j
.
k
v
k
Sj
t
ar
qv
k
sa o
sQ
l
g
h
l
ac
a/
d
k
sn
'
k
k
Zr
k
g
S\
29. Which substance becomes milky/cloudy when you exhale air
into it?
(a) Hard water
(b) Lime water
(c) Distilled water
(d) None of the above
d
k
Su
&
l
k
i
n
k
F
k
Zn
qf
/
;
k
g
k
st
k
r
k
g
St
c
g
e
v
i
u
h
'
o
k
l
m
l
e
sa N
k
sM
+r
sg
Sa\
(a) d
B
k
sj
t
y
(b) p
wu
sd
k
i
k
u
h
(c) v
k
l
qr
t
y
(d) m
i
j
k
sD
r
e
sa l
sd
k
sb
Zu
g
h
a
30. Which of the following is not a part of the female reproductive
system in human beings?
(a) Ovary
(b) Uterus
(c) Vasdefrens
(d) Oviduct
f
u
E
u
e
sa l
sd
k
Su
e
k
u
o
e
k
n
k
t
u
u
r
a=
k
d
k
H
k
k
x
u
g
h
ag
S\
(a) v
aM
k
'
k
;
(b) x
H
k
k
Z'
k
;
(c) '
k
qØ
o
k
f
g
u
h
(d) v
aM
o
k
f
g
d
k
31. The directional growth movement of a plant part in response to
the touch of an object is called –
(a) Thigmonasty
(b) Hydrotropism
(c) Thigmotropism
(d) Geotropism
i
k
S/
so
sQ
H
k
k
x
}
k
j
k
m
n
~n
h
i
u
d
h
f
n
'
k
k
e
sa x
f
r
d
j
u
k
d
g
y
k
r
k
g
S&
(a) v
u
qo
qaQ
p
u
x
f
r
(b) t
y
k
u
qo
r
Zu
(c) v
u
qo
r
Zu
h
x
f
r
(d) x
q#
R
o
k
u
qo
r
Zu
32. The instrument used for locating submerged objects in an
ocean is –
(a) audiometer
(b) galvanometer
(c) sextant
(d) sonar
l
e
qæ
e
sa t
y
e
X
u
o
L
r
qv
k
sa d
k
i
r
k
y
x
k
u
so
sQ
f
y
,
b
l
d
k
b
L
r
se
k
y
f
d
;
k
t
k
r
k
g
S&
(a) v
k
Wf
M
;
k
se
h
V
j
(b) x
SY
o
su
k
se
h
V
j
(c) l
sD
l
V
SaV
(d) l
k
su
k
j
33. Twinkling of star is due to
(a) atmospheric reflection of starlight
(b) atmospheric refraction of starlight
(c) dispersion of light of starlight
(d) reflection and refraction both
r
k
j
k
sa d
k
f
V
e
f
V
e
k
u
k
f
d
l
ç
f
Ø
;
k
}
k
j
k
g
k
sr
k
g
S\
(a) r
k
j
k
sa o
sQ
ç
d
k
'
k
o
sQ
o
k
;
qe
.
M
y
h
;
i
j
k
o
r
Zu
o
sQ
d
k
j
.
k
(b) r
k
j
k
sa o
sQ
ç
d
k
'
k
o
sQ
o
k
;
qe
.
M
y
h
;
v
i
o
r
Zu
o
sQ
d
k
j
.
k
(c) r
k
j
k
sa o
sQ
ç
d
k
'
k
o
sQ
f
o
{
sk
i
.
k
o
sQ
d
k
j
.
k
(d)
i
j
k
o
r
Zu
v
k
Sj
v
i
o
r
Zu
n
k
su
k
sa o
sQ
d
k
j
.
k
34. Which of the following events does not occur in photosynthesis?
(a) Conversion of light energy into chemical energy.
(b) Reduction of carbondi-oxide to carbohydrates.
(c) Oxidation of carbon to carbondi-oxide.
(d) Absorption of light energy by chlorophyll.
f
u
E
u
e
sa l
sd
k
Su
&
l
h
?
k
V
u
k
ç
d
k
'
k
l
a'
y
s"
k
.
k
ç
f
Ø
;
k
e
sa u
g
h
ag
k
sr
h
\
(a) ç
d
k
'
k
Å
t
k
Zd
k
j
l
k
;
f
u
d
Å
t
k
Ze
sa :
i
k
ar
j
.
k
(b) d
k
c
Zu
M
k
b
v
k
WD
l
k
b
M
d
k
d
k
c
k
sZg
k
b
M
ªsV
e
sa v
i
p
;
u
(c) d
k
c
Zu
d
k
d
k
c
Zu
M
k
b
v
k
WD
l
k
b
M
e
sa m
i
p
;
u
(d) D
y
k
sj
k
sf
i
Q
y
}
k
j
k
ç
d
k
'
k
Å
t
k
Zd
k
v
o
'
k
k
s"
k
.
k
35. Which of the following controls the amount of light entering the
eye?
(a) Cilliary muscles
(b) Lens
(c) Iris
(d) Retina
f
u
E
u
e
sa l
sd
k
Su
u
s=
k
e
sa ç
o
s'
k
d
j
u
so
k
y
sç
d
k
'
k
d
h
e
k
=
k
k
d
k
sf
u
;
af
=
k
r
d
j
r
k
g
S\
(a) i
{
e
k
H
k
h
i
sf
'
k
;
k
¡
(b) y
sal
(c) i
qr
y
h
(d) j
sV
h
u
k
36. A diverging lens is used in –
(a) a magnifying lens
(b) a car to see objects on rear side
(c) spectacles for the correction of short sight
(d) a simple camera
,
d
v
i
l
k
j
h
y
sal
ç
;
k
sx
e
sa v
k
r
k
g
S&
(a) v
k
o
f
/
Zr
y
sal
o
sQ
:
i
e
sa
(b) d
k
j
e
sa y
x
si
'
p
&
n
`'
;
n
i
Z.
k
o
sQ
:
i
e
sa
(c) f
u
d
V
&
n
`f
"
V
n
k
s"
k
d
k
sl
a'
k
k
sf
/
r
d
j
u
so
k
y
su
s=
k
y
sal
o
sQ
:
i
e
sa
(d) ,
d
i
Q
k
sV
k
sx
zk
f
i
Q
d
o
SQ
e
j
so
sQ
:
i
e
sa
37. The correct order of steps occurring in nutrition in animals is –
(a) Ingestionà
Absorptionà
Digestionà
Assimilationà
Egestion
(b) Ingestionà
Digestionà
Assimilationà
Absorptionà
Egestion
(c) Ingestionà
Digestionà
Absorptionà
Assimilationà
Egestion
(d) Ingestionà
Assimilationà
Digestionà
Absorptionà
Egestion
t
ar
qv
k
sa e
sa H
k
k
st
u
o
sQ
i
k
p
u
d
k
l
g
h
Ø
e
g
S&
(a) f
u
x
y
u
k
à
v
o
'
k
k
s"
k
.
k
à
i
k
p
u
à
H
k
aM
k
j
.
k
à
m
R
l
t
Zu
(b) f
u
x
y
u
k
à
i
k
p
u
à
H
k
aM
k
j
.
k
à
v
o
'
k
k
s"
k
.
k
à
m
R
l
t
Zu
(c) f
u
x
y
u
k
à
i
k
p
u
à
v
o
'
k
k
s"
k
.
k
à
H
k
aM
k
j
.
k
à
m
R
l
t
Zu
(d) f
u
x
y
u
k
à
H
k
aM
k
j
.
k
à
i
k
p
u
à
v
o
'
k
k
s"
k
.
k
à
m
R
l
t
Zu
38. Which one would be the meaningful order of the following ?
(1) Fruit (2) Flower (3) Seed (4) Pollination (5) Bud
(a) 1, 2, 3, 4, 5
(b) 4, 2, 5, 3, 1
(c) 5, 2, 4, 3, 1
(d) 5, 2, 4, 1, 3
f
u
E
u
e
sa l
sd
k
Su
&
l
k
v
F
k
Zi
w.
k
ZØ
e
g
S\
(
1
)
i
Q
y
(
2
)
i
wQ
y
(
3
)
c
h
t
(
4
)
i
j
k
x
.
k
(
5
)
d
y
h
(a) 1
]
2
]
3
]
4
]
5
(b) 4
]
2
]
5
]
3
]
1
(c) 5
]
2
]
4
]
3
]
1
(d) 5
]
2
]
4
]
1
]
3
39. Planet : Sun : : Moon : ...............?
(a) Satellite
(b) Universe
(c) Mars
(d) Earth
x
zg
%
l
w;
Z%
%
p
aæ
e
k
%
\
(a) m
i
x
zg
(b) c
zã
k
.
M
(c) e
ax
y
x
zg
(d) i
`F
o
h
40. Which one of the following diagrams best depicts the
relationship among sexual reproduction, asexual
reproduction, vegetative propagation.
(a)
(b)
(c)
(d)
m
i
j
k
sD
r
e
sa l
sd
k
Su
&
l
k
f
p
=
k
y
Sf
x
ad
t
u
u
]
v
y
Sf
x
ad
t
u
u
v
k
Sj
d
k
f
;
d
ç
t
u
u
d
sc
h
p
l
e
c
U
/
n
'
k
k
Zr
k
g
SA
41. Medicines used for treating indigestion are termed as –
(a) antibiotics
(b) analgesic
(c) antacid
(d) antiseptic
d
k
Su
&
l
h
n
o
k
b
Zd
k
m
i
;
k
sx
c
n
g
t
e
h
o
sQ
m
i
p
k
j
o
sQ
f
y
,
f
d
;
k
t
k
r
k
g
S&
(a) ,
aV
h
c
k
;
k
sf
V
d
(b) ,
u
k
y
t
sf
l
d
(c) ,
aV
k
,
f
l
M
(d) ,
aV
h
l
sf
I
V
d
42. Solder is an alloy of –
(a) Pb and Sn
(c) Cu and Zn
l
k
sY
M
j
f
e
J
/
k
r
qg
S&
(a) Pb v
k
Sj
Sn
(c) Cu v
k
Sj
Zn
(b)
(d)
Cu and Sn
Cu and Pb
(b)
Cu v
k
Sj
Sn
(d)
Cu v
k
Sj
Pb
43. Which of the following is an energy efficient device for
producting light?
(a) DLF
(b) CFL
(c) CLF
(d) FCL
f
u
E
u
e
sa l
sd
k
Su
&
l
h
j
k
s'
k
u
h
m
R
i
U
u
d
j
u
so
k
y
h
,
d
Å
t
k
Zn
{
k
;
qf
D
r
g
S&
(a) DLF
(b) CFL
(c) CLF
(d) FCL
44. Which one of the following diagrams best depicts the
relationship among electrons, protons neutrons and atoms?
f
u
E
u
e
sa l
sd
k
Su
&
l
k
f
p
=
k
b
y
sD
V
ªk
Wu
]
ç
k
sV
k
su
]
U
;
wV
ªk
su
v
k
Sj
v
.
k
qe
sa l
g
h
l
ac
a/
d
k
sç
n
f
'
k
Zr
d
j
r
k
g
S\
(a)
(b)
(c)
(d)
45. The component of sunlight causing heating effect is –
(a) visible light
(b) infra red ray
(c) ultra violet rays
(d) all the above
l
w;
Zo
sQ
ç
d
k
'
k
d
k
H
k
k
x
t
k
sÅ
"
e
k
ç
n
k
u
d
j
r
k
g
S&
(a) n
`'
;
ç
d
k
'
k
(b) v
o
j
D
r
ç
d
k
'
k
(c) i
j
k
c
Sax
u
h
f
d
j
.
k
sa
(d) m
i
;
qZD
r
l
H
k
h
46. Which of the following enzymes converts proteins into
peptones?
(a) Pepsin
(b) Trypsin
(c) Enterokinase
(d) Amylase
f
u
E
u
e
sa l
sd
k
Su
&
l
k
m
R
ç
sj
d
ç
k
sf
V
u
d
k
si
si
V
k
su
e
sa i
f
j
o
f
r
Zr
d
j
r
k
g
S\
(a) i
sf
I
l
u
(b) f
V
ªf
I
l
u
(c) ,
U
V
sj
k
sd
k
b
Zu
sl
(d) ,
f
e
y
sl
47. The tracking of people by trained dogs is based on the
recognition of which of the following compounds in sweat?
(a) Carboxylic acids
(b) Uric acid
(c) Sugar
(d) Salt
i
l
h
u
se
sa m
i
f
L
F
k
r
f
d
l
;
k
Sf
x
d
d
k
sl
wa?
k
d
j
ç
f
'
k
f
{
k
r
o
qQ
Ù
k
sO
;
f
D
r
d
h
i
g
p
k
u
d
j
r
sg
Sa\
(a) d
k
c
k
sZf
D
l
f
y
d
v
E
y (b) ;
wf
j
d
v
E
y
(c) '
k
o
ZQ
j
k
(d) u
e
d
(
y
o
.
k
)
48. Which of the following types of radiations are absorbed by the
upper layer of the atmosphere?
(a) Rain-waves
(b) Infra red
(c) Visible light
(d) Ultra violet
f
u
E
u
e
sa l
sd
k
Su
&
l
h
f
d
j
.
k
sa]
o
k
;
qe
.
M
y
d
h
Å
i
j
h
i
j
r
}
k
j
k
v
o
'
k
k
sf
"
k
r
d
h
t
k
r
h
g
S\
(a) o
"
k
k
Zr
j
ax
sa
(b) v
o
j
D
r
f
d
j
.
k
sa
(c) n
`'
;
ç
d
k
'
k
(d) i
j
k
c
Sax
u
h
49. Glacial Acetic acid is –
(a) 10% Acetic acid
(c) 100% Acetic acid
(b)
(d)
50% Acetic acid
5% Acetic acid
X
y
sf
'
k
;
y
,
sl
h
f
V
d
v
E
y
g
S&
(a) 10% ,
sl
h
f
V
d
v
E
y (b) 50% ,
sl
h
f
V
d
v
E
y
(c) 100% ,
sl
h
f
V
d
v
E
y(d) 5% ,
sl
h
f
V
d
v
E
y
50. Correct order of Reactivity in descending order is –
(a) Al > Fe > Cu > Zn
(b) Zn > Al > Fe > Cu
(c) Al > Zn > Fe > Cu
(d) Cu > Fe > Zn > Al
v
f
H
k
f
Ø
;
k
'
k
h
y
r
k
d
k
l
g
h
v
o
j
k
sg
h
Ø
e
g
S&
(a) Al > Fe > Cu > Zn
(b) Zn > Al > Fe > Cu
(c) Al > Zn > Fe > Cu
(d) Cu > Fe > Zn > Al
51. A convex lens is –
(a) thicker at the corner than center
(b) thicker at the center than corners
(c) equally thicker from all sides
(d) thinner at the center then corners
,
d
m
Ù
k
y
y
sal
&
(a) e
è
;
d
h
r
qy
u
k
e
sa f
d
u
k
j
k
sa i
j
e
k
sV
k
g
k
sr
k
g
SA
(b) f
d
u
k
j
k
sa o
sQ
l
k
i
s{
k
c
h
p
e
sa e
k
sV
k
g
k
sr
k
g
SA
(c) d
h
e
k
sV
k
b
Zl
c
t
x
g
l
e
k
u
g
k
sr
h
g
SA
(d) f
d
u
k
j
k
sa d
sl
k
i
s{
k
c
h
p
e
sa i
r
y
k
g
k
sr
k
g
SA
52. Concentration of harmful non-biodegradable chemicals at
different level of food chain is known as :
(a) magnification
(b) bio magnification
(c) concentration
(d) pollution
v
k
g
k
j
Ük
à[
k
y
k
o
sQ
f
o
f
H
k
U
u
L
r
j
k
sa i
j
g
k
f
u
d
k
j
d
j
l
k
;
u
k
sa d
k
l
k
aæ
.
k
d
g
y
k
r
k
g
S&
(a) v
k
o
Z/
u
(b) t
So
v
k
o
Z/
u
(c) l
k
aæ
.
k
(d) ç
n
w"
k
.
k
53. In autotrophs, water is transported through –
(a) root hair
(b) phloem
(c) stomata
(d) xylem
L
o
i
k
s"
k
h
e
sa]
t
y
d
k
l
ao
g
u
g
k
sr
k
g
S&
(a) e
wy
j
k
se
(b) i
Q
y
k
s,
e
(c) j
a/
z
(d) t
k
b
y
e
54. Which of the following are often called “Glands of
emergency”?
(a) Thyroid
(b) Pitutary
(c) Adrenal
(d) Pancreas
f
u
E
u
e
sa l
sf
d
l
sv
k
i
k
R
d
k
y
h
u
x
zaf
F
k
H
k
h
d
g
r
sg
Sa\
(a) v
o
V
qx
zaf
F
k
(b) i
h
;
w"
k
x
zaf
F
k
(c) i
j
k
o
V
qx
zaf
F
k
(d) v
X
u
;
k
'
k
;
x
zaf
F
k
55. Light travels fastest through which of the following materials?
(a)
(c)
Diamond
Glass
(b)
(d)
Water
Air
f
u
E
u
i
n
k
F
k
k
s± e
sa l
sç
d
k
'
k
f
d
l
e
sa l
c
l
sr
st
x
f
r
d
j
r
k
g
S\
(a) g
h
j
k
(b) t
y
(c) '
k
h
'
k
k
(d) o
k
;
q
56. The source of oxygen generated during photosynthesis is –
(a) water
(b) carbon di-oxide
(c) chlorophyll
(d) mesophyll
ç
d
k
'
k
l
a'
y
s"
k
.
k
ç
f
Ø
;
k
e
sa v
k
WD
l
h
t
u
d
k
l
zk
sr
g
S&
(a) t
y
(b) d
k
c
Zu
M
k
b
v
k
WD
l
k
b
M
(c) D
y
k
sj
k
sf
i
Q
y
(d) e
h
l
k
sf
i
Q
y
57. During dehydration, which substance is usually lost by the
body?
(a) Sugar
(b) Sodium chloride
(c) Calcium phosphate
(d) Potassium chloride
'
k
j
h
j
e
sa f
u
t
Zy
h
d
j
.
k
g
k
su
si
j
l
k
/
k
j
.
k
r
;
k
f
d
l
d
h
d
e
h
g
k
sr
h
g
S&
(a) '
k
o
ZQ
j
k
(b) l
k
sf
M
;
e
D
y
k
sj
k
b
M
(c) o
SQ
f
Y
'
k
;
e
i
Q
k
WL
i
sQ
V
(d) i
k
sV
sf
'
k
;
e
D
y
k
sj
k
b
M
58. A person got his eyes tested. The optician prescription for the
spectacle reads –
Left eye – 3.00 D
Right eye : 3.50 D
The person is having a defect of vision called –
(a) presbyopia
(b) myopia
(c) cataract
(d) hypermetropia
,
d
O
;
f
D
r
v
i
u
su
s=
k
k
sa d
h
t
k
¡p
d
j
k
r
k
g
SA
u
s=
k
f
p
f
d
R
l
d
m
l
o
sQ
p
'
e
sd
k
u
E
c
j
c
r
k
r
k
g
S
c
k
b
±v
k
¡[
k
%
&
3
0
0
D
n
k
b
±v
k
¡[
k
%
3
5
0
D
o
g
O
;
f
D
r
f
d
l
n
`f
"
V
n
k
s"
k
l
si
h
f
M
+r
g
S&
(a) t
j
k
n
wj
&
n
`f
"
V
r
k
(b) f
u
d
V
n
`f
"
V
&
n
k
s"
k
(c) e
k
sf
r
;
k
f
c
an
(d) n
wj
n
`f
"
V
&
n
k
s"
k
59. The potential difference between two terminals can be
measured by –
(a) an ammeter
(b) a voltmeter
(c) an ohm-meter
(d) a rheostat
n
k
su
k
sa f
l
j
k
sa i
j
m
i
f
L
F
k
r
f
o
H
k
o
k
ar
j
d
k
se
k
i
k
t
k
l
d
r
k
g
S&
(a)
,
e
h
V
j
(c) v
k
se
e
h
V
j
(b)
o
k
sY
V
e
h
V
j
(d) /
k
j
k
f
u
;
a=
k
d
60. Lack of oxygen in muscles often leads to cramps in the legs of
sprinters. This is due to the conversion of pyruvate to –
(a) ethanol
(b) acetic acid
(c) carbon di-oxide
(d) lactic acid
v
k
WD
l
h
t
u
d
h
d
e
h
l
s/
k
o
d
d
h
i
sf
'
k
;
k
sa e
sa ,
saB
u
g
k
sr
h
g
SA
b
l
d
k
d
k
j
.
k
g
Si
k
;
:
o
sV
d
k
&
(a) ,
F
k
su
k
Wy
e
sa i
f
j
o
r
Zu
(b) ,
l
h
f
V
d
,
f
l
M
e
sa i
f
j
o
r
Zu
(c) d
k
c
Zu
M
k
b
&
v
k
WD
l
k
b
M
e
sa i
f
j
o
r
Zu
(d) y
Sf
D
V
d
v
E
y
e
sa i
f
j
o
r
Zu
61. Fertilisation of an ovum in human beings takes place in the –
(a) fallopian tubes
(b) uterus
(c) ovary
(d) vagina
e
k
u
o
'
k
j
h
j
e
sa v
.
M
k
.
k
qd
k
f
u
"
k
sp
u
g
k
sr
k
g
S&
(a) v
aM
o
k
f
g
u
h
(b) x
H
k
k
Z'
k
;
(c) v
aM
k
'
k
;
(d) ;
k
sf
u
62. To prove Ohm’s law practically the graph between the current
and potential difference was drawn by four students. Which
one is correct?
v
k
se
o
sQ
f
u
;
e
d
k
ç
k
;
k
sf
x
d
l
R
;
k
i
u
d
j
u
so
sQ
f
y
,
p
k
j
f
o
|
k
f
F
k
Z;
k
sa }
k
j
k
f
o
|
qr
/
k
j
k
(
I
)
v
k
Sj
f
o
H
k
o
k
ar
j
(
V
)
d
k
x
zk
i
Q
c
u
k
;
k
x
;
k
A
d
k
Su
&
l
k
x
zk
i
Q
B
h
d
g
S\
(a)
(b)
I
I
V
V
(c)
(d)
I
I
V
V
63. Yellow lamps are frequently used in street lights. Which one of
the following is used in these lamps?
(a) Sodium
(b) Neon
(c) Hydrogen
(d) Nitrogen
L
V
ªh
V
y
k
b
ZV
e
sa ;
sy
k
sy
Sai
d
k
m
i
;
k
sx
f
d
;
k
t
k
r
k
g
S]
b
u
e
sa l
s^
;
sy
k
sy
Sai
*
e
sa f
d
l
d
k
m
i
;
k
sx
f
d
;
k
t
k
r
k
g
S\
(a) l
k
sf
M
;
e
(b) f
u
v
k
su
(c) g
k
b
M
ªk
st
u
(d) u
k
b
V
ªk
st
u
64. Source of energy in ecosystems is –
(a) sun
(b) green plants
(c) ATP
(d) Sugar produced in photosynthesis
i
k
f
j
r
a=
k
e
sa Å
t
k
Zd
k
e
q[
;
l
zk
sr
g
S&
(a) l
w;
Z
(b) g
j
si
k
n
i
(c)
(d)
ATP
ç
d
k
'
k
l
a'
y
s"
k
.
k
e
sa '
k
o
ZQ
j
k
d
k
m
R
i
k
n
u
65. Which of the following is a male contraceptive method?
(a) vasectomy
(b) tubectomy
(c) copper-T
(d) hormonal pills
b
u
e
sa l
su
j
x
H
k
Zf
u
j
k
s/
d
;
qf
D
r
d
k
Su
&
l
h
g
S\
(a) u
l
c
an
h
(b) u
y
c
an
h
(c) d
k
Wi
j
&
V
h
(d) g
k
e
k
sZu
x
k
sf
y
;
k
¡
66. The net charge flowing through a cross-section of a conductor
ini unit time is known as :
(a)
(c)
ampere
resistance
(b)
(d)
volt
electric potential
f
d
l
h
l
qp
k
y
d
e
sa ç
f
r
b
Zd
k
b
Zl
e
;
e
sa ç
o
k
f
g
r
o
qQ
y
v
k
o
s'
k
d
g
y
k
r
k
g
S&
(a) ,
E
i
h
;
j
(b) o
k
sY
V
(c) ç
f
r
j
k
s/
d
(d) f
o
|
qr
f
o
H
k
o
Dams are mostly made of material called concrete. These dams
retain large amount of water, this stored water when allowed to
flow at a very high speed, a high energy is produced with the
help of a device called turbine. In the turbine, the energy is used
to generate electricity. The type of energy we can reuse since it
is unlimited in nature is called renewable energy. Hydropower
is currently the only renewable energy that is used to large
extent.
v
f
/
d
r
j
c
k
/
¡ o
Q
aØ
h
V
o
Q
s c
u
sg
k
r
s sg
A
aS ;
g
v
f
/
d
e
k
=
k
k
e
as t
y
d
k
sj
k
d
s d
j
j
[
k
l
d
r
sg
A
aS ;
g
#
d
k
g
v
q k
i
k
u
h
t
c
v
R
;
f
/
d
r
h
o
r
zk
l
sV
j
c
k
b
u
k
as i
j
i
M
r
+k
g
Sr
k
sÅ
t
k
Zd
k
m
R
i
k
n
u
g
k
r
sk
g
A
S Å
t
k
Z
o
Q
so
g
ç
d
k
j
t
k
sç
o
Q
`f
r
e
as v
l
h
f
e
r
g
aS v
k
j
Si
u
q%
m
i
;
k
x
se
as y
k
,
t
k
l
d
r
sg
]
aS Å
t
k
Zo
Q
s
u
o
h
d
j
.
k
h
;
l
k
zr
s d
g
y
k
r
sg
A
aS t
y
Å
t
k
Zo
r
e
Z k
u
d
k
y
e
as l
c
l
sv
f
/
d
m
i
;
k
x
s e
as v
k
u
so
k
y
h
u
o
h
d
j
.
k
h
;
Å
t
k
v
Z k
as e
as l
s,
d
g
A
S
67. In a hydroelectric power plant source of energy used is of –
(a) blowing wind
(b) flowing water
(c) burning fuel
(d) all of the above
t
y
f
o
|
qr
l
a;
a=
k
e
sa m
i
;
k
sx
v
k
u
so
k
y
h
Å
t
k
Zg
S&
(a) c
g
r
h
g
qb
Zg
o
k
(b) c
g
r
k
t
y
(c) t
y
r
k
g
qv
k
b
±/
u
(d) m
i
j
k
sD
r
l
H
k
h
68. Which one of the following is a non-renewable source of
energy?
(a) Solar energy
(b) Wind energy
(c) Natural gas
(d) Tidal energy
f
u
E
u
f
y
f
[
k
r
e
sa l
sd
k
Su
&
l
k
Å
t
k
Zd
k
v
u
o
h
d
j
.
k
h
;
l
zk
sr
g
S\
(a) l
k
Sj
Å
t
k
Z
(b) i
o
u
Å
t
k
Z
(c) ç
k
o
`Q
f
r
d
x
Sl
(d) r
j
ax
Å
t
k
Z
69. The site of hydroelectric power plant should be chosen
carefully beause –
(a) It produces large quantity of poisonous gases
(b) produces harmful radiations.
(c)
(d)
destroys flora and fauna of the region.
may cause earthquake.
t
y
f
o
|
qr
l
a;
a=
k
y
x
k
u
so
sQ
L
F
k
k
u
d
k
p
;
u
è
;
k
u
i
wo
Zd
g
k
su
k
p
k
f
g
,
D
;
k
saf
d
&
(a) ;
g
t
g
j
h
y
h
x
Sl
sa m
R
i
U
u
d
j
r
k
g
SA
(b) g
k
f
u
d
k
j
d
f
o
f
d
j
.
k
m
R
i
U
u
g
k
sr
h
g
SA
(c) o
u
L
i
f
r
v
k
Sj
t
h
o
&
t
ar
qv
k
sa d
k
u
k
'
k
g
k
st
k
r
k
g
SA
(d) H
k
wd
E
i
m
R
i
U
u
g
k
sl
d
r
sg
SaA
70. ........................ leads a movement to stop the construction of a
series of dams planned for India’s westward flowing river, the
Narmada.
(a) Medha Patkar
(b) Shobha De
(c) Sunder Lal Bhaguna
(d) Amrita Devi Bishnoi
u
s,
d
v
k
an
k
sy
u
o
sQ
r
g
r
H
k
k
j
r
o
sQ
i
f
'
p
e
e
sa c
g
u
so
k
y
h
u
e
Zn
k
u
n
h
i
j
c
u
u
so
k
y
sc
k
¡/
k
sa d
h
i
f
j
;
k
st
u
k
v
k
sa d
k
f
o
j
k
s/
f
d
;
k
A
(a) e
s/
k
i
k
V
sd
j
(b) '
k
k
sH
k
k
M
s
(c) l
qan
j
y
k
y
c
g
qx
q.
k
k
(d) v
e
`r
k
n
so
h
f
c
'
u
k
sb
Z
12 yrs. old Rajan younger brother of Prabhu was looking for
something. His brother asked him what was he looking for? Rajan
answered – I have misplaced my spectacles, so could I borrow
father’s spectacles? Prabhu explained him it will not of any help to
you as you and father are suffering from different defects of vision.
You are suffering from near sightedness so you can see only near by
objects clearly but can’t see distant objects clearly, whereas father is
suffering from far sightedness so he is able to see distant objects
clearly but not nearby, and your spectacles have concave lens and
father have convex lens in his spectacle.
With the help of the diagram, answer the given question :
Near Sightedness
Far Sightedness
f
u
d
V
n
`f
"
V
n
k
s"
k
n
h
?
k
Zn
`f
"
V
n
k
s"
k
@
n
wj
n
`f
"
V
n
k
s"
k
Correction of near sightedness Correction of far
sightedness
f
u
d
V
n
`f
"
V
n
k
s"
k
d
k
l
a'
k
k
s/
u
n
wj
n
`f
"
V
n
k
s"
k
d
k
l
a'
k
k
s/
u
ç
H
k
qd
k
1
2
o
"
k
h
Z;
N
k
sV
k
H
k
k
b
Zj
k
t
u
o
qQ
N
<
w¡<
j
g
k
F
k
k
A
ç
H
k
qu
sm
l
l
si
wN
k
&
r
qe
D
;
k
<
w¡<
j
g
s
g
k
s\
j
k
t
u
u
sm
Ù
k
j
f
n
;
k
&
e
Sa v
i
u
k
u
t
j
d
k
p
'
e
k
d
g
h
aj
[
k
d
j
H
k
wy
x
;
k
g
w¡A
D
;
k
e
Sa
f
i
r
k
t
h
d
k
p
'
e
k
m
/
k
j
y
sl
d
r
k
g
w¡\
ç
H
k
qu
sm
l
sl
e
>
k
;
k
f
d
r
qe
v
k
Sj
f
i
r
k
t
h
n
k
su
k
sa g
h
v
y
x
&
v
y
x
ǹ
f
"
V
n
k
s"
k
l
sç
H
k
k
f
o
r
g
k
sA
r
qE
g
saf
u
d
V
ǹ
f
"
V
r
k
g
Sb
l
f
y
,
r
qe
f
u
d
V
j
[
k
h
o
L
r
qv
k
sa d
k
sr
k
sL
i
"
V
n
s[
k
l
d
r
sg
k
si
j
U
r
qn
wj
j
[
k
h
o
L
r
qv
k
sa d
k
sl
qL
i
"
V
u
g
h
an
s[
k
i
k
r
st
c
f
d
f
i
r
k
t
h
d
k
sn
wj
&
n
`f
"
V
r
k
j
k
sx
g
SA
b
l
f
y
,
o
g
n
wj
j
[
k
h
o
L
r
qv
k
sa d
k
sr
k
sL
i
"
V
n
s[
k
l
d
r
sg
Sa
i
j
U
r
qf
u
d
V
j
[
k
h
o
L
r
q,
¡m
U
g
sa l
qL
i
"
V
u
g
h
af
n
[
k
k
b
Zn
sr
h
aA
v
k
Sj
r
qE
g
k
j
sp
'
e
sa e
sa v
o
r
y
y
Sal
v
k
Sj
f
i
r
k
t
h
o
sQ
p
'
e
se
sa m
Ù
k
y
y
Sal
y
x
sg
q,
g
SaA
71. Name the another name for the disease near sightedness.
(a) Myopia
(b) Hypermetropia
(c) presbyopia
(d) Cataract
f
u
d
V
n
`f
"
V
r
k
d
k
n
wl
j
k
u
k
e
g
S&
(a) e
k
;
k
sf
i
;
k
(b) g
k
b
i
u
e
SV
ªk
sf
i
;
k
(c) t
j
k
&
n
wj
n
`f
"
V
r
k
(d) e
k
sf
r
;
k
f
c
an
72. .................. is used for correction of far sightedness.
(a) Concave lens
(b) Convex lens
(c) Concave mirror
(d) Convex mirror
d
k
m
i
;
k
sx
n
wj
n
`f
"
V
r
k
j
k
sx
o
sQ
l
a'
k
k
s/
u
o
sQ
f
y
,
f
d
;
k
t
k
r
k
g
SA
(a) v
o
r
y
y
Sal
(b) m
Ù
k
y
y
Sal
(c) v
o
r
y
n
i
Z.
k
(d) m
Ù
k
y
n
i
Z.
k
73. In Myopia image is formed –
(a) infront of retina
(b)
(c) on the retina
(d)
f
u
d
V
n
`f
"
V
r
k
e
sa ç
f
r
f
c
E
c
c
u
r
k
g
S&
behind the retina
image is not formed at all
(a)
n
`f
"
V
i
V
y
o
sQ
l
k
e
u
s
(c) n
`f
"
V
i
V
y
i
j
(b)
n
`f
"
V
i
V
y
o
sQ
i
h
N
s
(d) ç
f
r
f
c
E
c
g
h
u
g
h
ac
u
sx
k
Observe the given figure and answer the questions.
f
n
,
x
,
f
p
=
k
d
h
l
g
k
;
r
k
l
sç
'
u
k
sa o
sQ
m
Ù
k
j
n
sa &
Most
Reactive
v
f
/
k
d
v
f
H
k
f
ÿ
;
k
'
k
h
y
K
Na
Ca
Mg
Al
Zn
Fe
Pb
Cu
Ag
Au
Least
Reactive
l
c
l
sd
e
v
f
H
k
f
Ø
;
k
'
k
h
y
74. .................. and ................. are stored in oil as they react
violently with air and water.
(a) Zinc and iron
(b) Gold and platinum
(c) Zinc and gold
(d) Potassium and sodium
v
k
Sj
d
k
sr
sy
e
sa j
[
k
k
t
k
r
k
g
SD
;
k
saf
d
o
g
g
o
k
v
k
Sj
i
k
u
h
o
sQ
l
k
F
k
r
h
o
zv
f
H
k
f
Ø
;
k
d
j
r
sg
SaA
(a) t
L
r
k
v
k
Sj
y
k
Sg
k
(b) l
k
su
k
v
k
Sj
I
y
Sf
V
u
e
(c) t
L
r
k
v
k
Sj
l
k
su
k
(d) i
k
sV
k
f
'
k
;
e
v
k
Sj
l
k
sf
M
;
e
75. Noble metals which do not corrode or tarnish in water or air
are –
(a) silver and gold
(b) aluminium and zinc
(c) iron and zinc
(d) calcium and magnesium
m
R
o
`Q
"
V
/
k
r
qt
k
sg
o
k
v
k
Sj
i
k
u
h
d
h
m
i
f
L
F
k
f
r
e
sa l
a{
k
k
f
j
r
v
k
Sj
e
f
y
u
u
g
h
ag
k
sr
h
&
(a) p
k
¡n
h
v
k
Sj
l
k
su
k
(b) ,
sY
;
qe
h
f
u
;
e
v
k
Sj
t
L
r
k
(c) y
k
Sg
k
v
k
Sj
t
L
r
k
(d) o
SQ
f
Y
'
k
;
e
v
k
Sj
e
SX
u
h
f
'
k
;
e
75. Noble metals which do not corrode or tarnish in water or air
are –
(a) silver and gold
(b) aluminium and zinc
(c) iron and zinc
(d) calcium and magnesium
m
R
o
`Q
"
V
/
k
r
qt
k
sg
o
k
v
k
Sj
i
k
u
h
d
h
m
i
f
L
F
k
f
r
e
sa l
a{
k
k
f
j
r
v
k
Sj
e
f
y
u
u
g
h
ag
k
sr
h
&
(a) p
k
¡n
h
v
k
Sj
l
k
su
k
(b) ,
sY
;
qe
h
f
u
;
e
v
k
Sj
t
L
r
k
(c) y
k
Sg
k
v
k
Sj
t
L
r
k
(d) o
SQ
f
Y
'
k
;
e
v
k
Sj
e
SX
u
h
f
'
k
;
e
76. Choose the correct reactivity series –
(a) Na > Al > Ca > K
(b) K > Mg > Ca > Na
(c) K > Na > Zn > Ag
(d) Cu > Pb > Fe > Zn
l
g
h
l
f
Ø
;
r
k
J
s.
k
h
d
k
p
;
u
d
j
sa &
(a) Na > Al > Ca > K
(b) K > Mg > Ca > Na
(c) K > Na > Zn > Ag
(d) Cu > Pb > Fe > Zn
77. Heavy alcohol consuming people generally die of –
(a) blood cancer
(b) cirrhosis
(c) liver or stomach cancer (d) weakening of heart muscles
'
k
j
k
c
i
h
u
so
k
y
sv
f
/
d
r
j
y
k
sx
e
j
r
sg
Sa &
(a) j
D
r
o
SaQ
l
j
(b) f
l
j
k
sf
l
l
(c) ;
o
`Q
r
;
k
i
sV
d
k
o
SaQ
l
j (d) â
n
;
i
sf
'
k
;
k
sa d
k
d
e
t
k
sj
g
k
st
k
u
k
78. Chocolates can be bad for health because of high content of –
(a) cobalt
(b) nickel
(c) zinc
(d) lead
p
k
Wd
y
sV
[
k
k
u
k
L
o
k
L
F
;
o
sQ
f
y
,
g
k
f
u
d
k
j
d
g
SD
;
k
saf
d
b
l
e
sa v
f
/
d
e
k
=
k
k
e
sa g
S&
(a) d
k
sc
k
Y
V
(b) f
u
o
sQ
y
(c) f
t
ad
(
t
L
r
k
)
(d) y
SM
(
l
h
l
k
)
79. Pacemaker –
(a) decreases the heart beat
(b)
(c)
(d)
increases the heart beat
regulates the heart beat
accelerates blood supply to heart
i
sl
e
sd
j
&
(a) â
n
;
L
i
an
u
d
k
sd
e
d
j
r
k
g
S
(b) â
n
;
L
i
an
u
d
k
sc
<
+k
r
k
g
S
(c) â
n
;
L
i
an
u
d
k
sf
u
;
f
e
r
d
j
r
k
g
SA
(d) â
n
;
e
sa j
D
r
ç
o
k
g
d
h
n
j
c
<
+k
r
k
g
SA
80. Cerebellum, medulla and pons are parts of –
(a) mid-brain
(b) hind-brain
(c) fore-brain
(d) spinal cord
v
u
qe
f
L
r
"
d
]
e
sM
qy
k
v
k
Sj
i
k
WU
l
H
k
k
x
g
Sa &
(a) e
è
;
e
f
L
r
d
o
sQ
(b) i
'
p
e
f
L
r
"
d
o
sQ
(c) v
x
ze
f
L
r
"
d
o
sQ
(d) e
s:
j
T
t
qo
sQ
81. Purity of gold is expressed in carats. The purest form of gold is –
(a) 24 carats
(b) 99.6 carats
(c) 91.6 carats
(d) 22 carats
^
l
k
su
sd
h
'
k
q¼
r
k
*
d
k
so
SQ
j
sV
e
sa n
'
k
k
Z;
k
t
k
r
k
g
SA
f
u
E
u
e
sa l
sl
k
su
sd
k
'
k
q¼
:
i
d
k
Su
&
l
k
g
S\
(a) 2
4
o
SQ
j
sV
(b) 9
9
6
o
SQ
j
sV
(c) 9
1
6
o
SQ
j
sV
(d) 2
2
o
SQ
j
sV
82. In India, national income estimates are prepared by –
(a) National Development Council
(b) Central Statistical Organisation
(c) National Sample Survey Organisation
(d) Planning Commission
H
k
k
j
r
e
sa j
k
"
V
ªh
;
v
k
;
d
k
f
o
o
j
.
k
r
S;
k
j
f
d
;
k
t
k
r
k
g
S&
(a) j
k
"
V
ªh
;
f
o
d
k
l
i
f
j
"
k
n (b) o
sQ
U
æ
h
;
l
k
af
[
;
d
h
l
ax
B
u
(c) j
k
"
V
ªh
;
u
e
wu
k
l
o
sZ{
k
.
k
l
ax
B
u
(d) ;
k
st
u
k
v
k
;
k
sx
83. Which one of the following is not corect match –
(a) Haldia – West Bengal (b) Kandla – Gujrat
(c) Marmagao – Goa
(d) Paradeep – Assam
f
u
E
u
e
sa l
sd
k
Su
&
l
k
l
g
h
f
e
y
k
u
u
g
h
ag
S&
(a) g
f
Y
n
;
k
&
i
f
'
p
e
c
ax
k
y
(b) d
k
aM
y
k
&
x
qt
j
k
r
(c) e
k
j
e
k
x
k
v
k
s&
x
k
sv
k
(d) i
k
j
k
}
h
i
&
v
l
e
84. World Trade Organisation (WTO) was started in the year –
(a) 1984
(b) 1994
(c) 1995
(d) 1996
f
o
'
o
O
;
k
i
k
j
l
ax
B
u
d
k
v
k
j
aH
k
g
qv
k
F
k
k
&
(a) 1
9
8
4
(b) 1
9
9
4
(c) 1
9
9
5
(d) 1
9
9
6
85. How many members can be nominated to the Lok Sabha by the
president?
(a) Two
(b) Four
(c) Five
(d) Twelve
j
k
"
V
ªi
f
r
o
sQ
}
k
j
k
y
k
sd
l
H
k
k
o
sQ
f
d
r
u
sl
n
L
;
k
sa d
k
se
u
k
su
h
r
f
d
;
k
t
k
r
k
g
S&
(a) n
k
s
(b) p
k
j
(c) i
k
¡p
(d) c
k
j
g
86. Who administrate on union-territories?
(a) President of India
(b) Prime Minister
(c) Parliament
(d) Chief Minister
l
a?
k
{
k
s=
k
k
sa d
k
ç
'
k
k
l
l
u
f
d
l
o
sQ
}
k
j
k
f
d
;
k
t
k
r
k
g
S&
(a) H
k
k
j
r
o
sQ
j
k
"
V
ªi
f
r
}
k
j
k
(b) ç
/
k
u
e
a=
k
h
}
k
j
k
(c) l
al
n
}
k
j
k
(d) e
q[
;
e
a=
k
h
}
k
j
k
87. According to the census 2011, the precentage of urban Indian’s
connected to a piped sever system is –
(a) 50.3%
(b) 46.4%
(c) 34.6%
(d) 32.7%
H
k
k
j
r
d
h
t
u
x
.
k
u
k
2
0
1
1
o
sQ
v
u
ql
k
j
o
qQ
y
'
k
g
j
h
t
u
l
a[
;
k
t
k
sf
d
i
k
b
i
l
h
o
j
f
l
L
V
e
d
k
m
i
;
k
sx
d
j
r
h
g
S&
(a) 50.3%
(b) 46.4%
(c) 34.6%
(d) 32.7%
88. Who among the following started the first newspaper in India?
(a) Dadabhai Naoroji
(b) W.C. Benerjee
(c) Rabindranath Tagore
(d) Bal Ganga Dahr Tilak
f
u
E
u
e
sa l
sf
d
l
o
sQ
}
k
j
k
H
k
k
j
r
d
k
ç
F
k
e
v
[
k
c
k
j
v
k
j
aH
k
f
d
;
k
x
;
k
&
(a) n
k
n
k
H
k
k
b
Zu
k
j
k
St
h
(b) M
C
Y
;
wl
h
c
Su
t
h
Z
(c) j
f
c
U
æ
u
k
F
k
V
Sx
k
sj
(d) c
k
y
x
ax
k
/
j
f
r
y
d
89. ‘BRIC’ which was the organisation of 4 nations namely Brazil,
Russia, India and China has now become ‘BRICS’. Which is the
fifth nation included in it?
(a) South Korea
(b) Sri Lanka
(c) Singapore
(d) South Africa
‘BRIC’ t
k
s f
d
p
k
j
n
s'
k
k
sa &
c
zk
t
h
y
]
j
f
'
k
;
k
]
H
k
k
j
r
v
k
Sj
p
h
u
d
kl
ax
B
u
g
S v
c
‘BRICS’ g
k
sx
;
k
g
SA
b
l
e
sa i
k
¡p
o
k
¡n
s'
k
'
k
k
f
e
y
f
d
;
k
x
;
k
g
S&
(a) l
k
m
F
k
d
k
sf
j
;
k
(b) J
h
y
ad
k
(c) f
l
ax
k
i
qj
(d) l
k
m
F
k
v
i
zQ
h
d
k
90. Who was the founder of ‘Indian National Congress’?
(a) Jawahar Lal Nehru
(b) A.O. Hume
(c) Mohd. Ali Jinnah
(d) Anne Besant
H
k
k
j
r
h
;
j
k
"
V
ªh
;
d
k
ax
zsl
o
sQ
l
aL
F
k
k
i
d
d
k
Su
F
k
s\
(a) t
o
k
g
j
y
k
y
u
sg
: (b) ,
v
k
sg
~;
we
(c) e
k
sg
E
e
n
v
y
h
f
t
U
u
k
(d) ,
u
h
c
sl
saV
91. When was ‘Consumer Security Bill’ passed –
(a) 1966
(b) 1976
(c) 1986
(d) 1996
^
m
i
H
k
k
sD
r
k
l
qj
{
k
k
d
k
u
wu
*
d
c
i
k
l
f
d
;
k
x
;
k
\
(a) 1
9
6
6
(b) 1
9
7
6
(c) 1
9
8
6
(d) 1
9
9
6
92. Which of the following articles of Indian constitution ensures
freedom of press in India?
(a) Article 356
(b) Article 22
(c) Article 327
(d) Article 19
d
k
Su
&
l
k
v
u
qP
N
sn
l
af
o
/
k
u
o
sQ
v
U
r
x
Zr
H
k
k
j
r
e
sa ç
sl
d
k
sv
k
t
k
n
h
ç
n
k
u
d
j
r
k
g
S&
(a) v
u
qP
N
sn
3
5
6
(b) v
u
qP
N
sn
2
2
(c) v
u
qP
N
sn
3
2
7
(d) v
u
qP
N
sn
1
9
93. The first hour of every sitting of the Lok Sabha is called –
(a) Public hour
(b) Question hour
(c) Private hour
(d) Zero hour
y
k
sd
l
H
k
k
d
h
ç
R
;
sd
c
SB
d
d
k
i
g
y
k
?
k
aV
k
D
;
k
d
g
y
k
r
k
g
S&
(a) i
f
C
y
d
v
k
o
j
(b) ç
'
u
d
k
y
(c) ç
k
b
o
sV
v
k
o
j
(d) '
k
wU
;
d
k
y
94. The Planning Commission of India was established in the year–
(a) 1949
(b) 1948
(c) 1950
(d) 1951
H
k
k
j
r
e
sa ;
k
st
u
k
v
k
;
k
sx
d
h
L
F
k
k
i
u
k
f
d
l
o
"
k
Zg
qb
Z\
(a) 1
9
4
9
(b) 1
9
4
8
(c) 1
9
5
0
(d) 1
9
5
1
95. Reserve Bank of India nationalized in –
(a) 1947
(b) 1948
(c) 1949
(d) 1950
H
k
k
j
r
h
;
f
j
t
o
Zc
Sad
d
k
j
k
"
V
ªh
;
d
j
.
k
f
d
l
o
"
k
Zf
d
;
k
x
;
k
\
(a) 1
9
4
7
(b) 1
9
4
8
(c) 1
9
4
9
(d) 1
9
5
0
96. Who is the Supreme Commander of the armed forces in India?
(a) The President
(b) The Home Minister
(c) The Defence Minister (d) The Prime Minister
H
k
k
j
r
d
h
l
'
k
L
=
k
l
su
k
v
k
sa d
k
l
o
k
sZP
p
l
su
k
i
f
r
d
k
Su
g
k
sr
k
g
S\
(a) j
k
"
V
ªi
f
r
(b) x
`g
e
a=
k
h
(c) j
{
k
k
e
a=
k
h
(d) ç
/
k
u
e
a=
k
h
97. Who is the Chief Election Commissioner of India?
(a) V.S. Sampath
(b) Dr. S.Y. Quraishi
(c) Navin Chawla
(d) B.B. Tondon
b
l
l
e
;
H
k
k
j
r
d
k
e
q[
;
p
qu
k
o
v
k
;
qD
r
d
k
Su
g
S\
(a) o
h
,
l
l
E
i
F
k
(b) M
k
Wñ
,
l
o
k
b
Zo
qQ
j
S'
k
h
(c) u
o
h
u
p
k
o
y
k
(d) c
h
c
h
V
aM
u
98. Who is the Chief Justice of India at present?
(a) Justice Altamas Kabir (b) Justice G.S. Singhvi
(c) Justice R.M. Lodha
(d) Justice A.K. Patnaik
b
l
l
e
;
l
o
k
sZP
p
U
;
k
;
k
y
;
o
sQ
e
q[
;
U
;
k
;
k
/
h
'
k
d
k
Su
g
Sa\
(a) U
;
k
;
k
/
h
'
k
v
Y
r
e
l
d
c
h
j (b) U
;
k
;
k
/
h
'
k
t
h
,
l
f
l
a?
k
o
h
(c) U
;
k
;
k
/
h
'
k
v
k
j
,
e
y
k
s<
k (d) U
;
k
;
k
/
h
'
k
,
o
sQ
i
V
u
k
;
d
99. Who was the main header of Chipko Movement?
(a) Sunder Lal Bahuguna (b) Hamwati Nandan Bahugana
(c)
Vijay Bahuguna
(d)
None of the above
f
p
i
d
k
sv
k
U
n
k
sy
u
o
sQ
ç
e
q[
k
ç
.
k
sr
k
d
k
Su
g
Sa\
(a) l
qan
j
y
k
y
c
g
qx
q.
k
k
(b) g
se
o
r
h
u
an
u
c
g
qx
q.
k
k
(c) f
o
t
;
c
g
qx
q.
k
k
(d) m
i
j
k
sD
r
e
sa d
k
sb
Zu
g
h
a
100. Which day is celebrated as Consumer Protection Day in India?
(a) 21 December
(b) 22 December
(c) 24 December
(d) 25 December
H
k
k
j
r
e
sa m
i
H
k
k
sD
r
k
f
n
o
l
d
c
e
u
k
;
k
t
k
r
k
g
S\
(a) 2
1
f
n
l
E
c
j
(b) 2
2
f
n
l
E
c
j
(c) 2
4
f
n
l
E
c
j
(d) 2
5
f
n
l
E
c
j
101. Who is the Governor of Reserve Bank of India?
(a) Dr. C. Rangrajan
(b) Dr. Bimal Jalan
(c) R.N. Malhotra
(d) Dr. D. Subharao
H
k
k
j
r
h
;
f
j
t
o
Zc
Sad
d
k
x
o
u
Zj
d
k
Su
g
S\
(a) M
k
Wñ
l
h
j
ax
j
k
t
u
(b) M
k
Wñ
f
o
e
y
t
k
y
k
u
(c) M
k
Wñ
,
u
e
Y
g
k
s=
k
k
(d) M
k
Wñ
M
h
l
qC
c
k
j
k
o
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
(a)
(c)
(c)
(c)
(d)
(a)
(a)
(d)
(b)
(d)
(d)
(b)
(c)
(c)
(a)
(c)
(c)
(a)
(d)
(a)
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
(d)
(b)
(d)
(d)
(c)
(a)
(c)
(c)
(b)
(c)
(c)
(d)
(b)
(c)
(a)
(c)
4, W
wood
insulin
oxygen
V = W/Q
3 : 1 (Conc. HCl + Conc. HNO )
jaundice
circular motion of electrons
acetone
body temperature
–6
10
Brain and heart
They are caused by virus
Break the circuit when excessive current flows.
genetics
water and guard cell
fusion reactions
6.5 m
reflection of the blue sky by sea water and scattering of blue
light by water molecules.
Diamond, glass and water
3 × 108 m/s
methane
none
amylase
3
ATP
lime water
Vas deferens
Thigmotropism
sonar
atmospheric refraction of starlight
oxidatiion of carbon to carbondi-oxide
ciliary muscles
spectacles for the correction of short sightednes
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
(c)
(d)
(d)
(a)
(c)
(a)
(b)
(b)
(b)
(a)
(a)
(b)
(c)
(c)
(b)
(b)
(d)
(c)
(d)
(a)
(d)
(b)
(b)
(d)
(a)
(b)
(a)
(a)
(a)
(d)
(b)
(c)
(c)
(a)
(a)
(b)
(a)
(d)
Ingestion→
Digestion→
Absorption →
Assimilation →
Egestiion
5, 2, 4, 1, 3
Earth
Antacid
lead and tin Pb and Sn
CFL
Infra red ray
pepsin
carboxylic acids
Infra-red
100% acetic acid
Al > Zn > Fe > Cu
Thicker at the centre than corner
biomagnification
xylem
adrenal
air
water
potassium chloride
Myopia
A voltmeter
lactic acid
fallopian tube
sodium
sun
vasectomy
electric potential
flowing water
natural gas
destroys flora and fauna of the region
Medha Patekar
Myopia
convex lens
In front of retina
Potassium and sodium
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
85.
86.
87.
88.
89.
90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
101.
(a)
(c)
(c)
(b)
(c)
(b)
(a)
(b)
(d)
(c)
(a)
(a)
(d)
(c)
(d)
(b)
(c)
(d)
(b)
(c)
(c)
(a)
(a)
(a)
(a)
(c)
(d)
Silver and gold
K > Na > Zn > Ag
liver and stomach cancer
Nickel
Regulates the heart beat
hind brain
24 carat
Central Statistical Organisation
Paradeep – Assam
1995
Two
President of India
32.7%
Rabindranath Tagore
South Africa
A.O. Hume
1986
Article 19
Question hour
1950
1949
The President
V.S. Sampath
Justice Altamas Kabir
Sunder Lal Bahuguna
24 December
Dr. D. Subbarao
Fly UP