Comments
Description
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 (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