Ã§ 1

ç 1 

[kkyhyiSdh dks.krs fo/kku lR; vkgs\ 

[1] QDr 1 ewG la[;k fo"ke vkgs] rj [2] QDr 1 ewG la[;k le vkgs] rj 

brj loZ ewG la[;k le vkgsr- brj loZ ewG la[;k fo"ke vkgsr- 

[3] loZ ewG la[;k fo"ke vkgsr- [4] loZ ewG la[;k le vkgsr- 

pwd! fyfgysys mRrj % 0] vpwd mRrj % 2- 

loZ ewG la[;kae/;s 2 gh ,dp le la[;k vkgs - brj loZ ewG la[;k fo"ke vkgsr- 

ç 2 

T;kr 2 o 4 gs vad oxGrk brj vad çR;sd vad ,dnkp oki#u r;kj 

gks.kkjh 4 vadh ygkukr ygku fo"ke la[;k dks.krh\ 

[1] 1357 [2] 1356 

[3] 1365 [4] 1351 


1357 la[;kapk p

4x $ 96 ¾ 5 

x ¾ 96 

ç 5 

[kkyhyiSdh dks.krh la[;k 17@9 e/;s feGfoY;kus yxrph eksBh iw.kkZad la[;k 

feGsy\ ¼1996½ 

[1] 1@9 [2] 1@12 

[3] 1@6 [4] 1@3 


17/9 P;k yxrph eksBh iw.kkZad la[;k Eg.kts 18/9 ¾ 2 

17/9 e/;s 1/9 feGfoY;koj yxrph eksBh iw.kkZad la[;k feGsy- 

ç 6 

[kkyhyiSdh dks.krk viw.kkZad 5@7 is{kk eksBk vkgs] ijarq 11@14 is{kk ygku 

vkgs\ ¼1997½ 

[1] 6@7 [2] 16@21 

[3] 4@7 [4] 19@21 


5@7 ¾ 0-7142 

11@14 ¾ 0-7857 

6@7 ¾ 0-8571 

16@21 ¾ 0-7619 

4@7 ¾ 0-5714 

19@21 ¾ 0-9047 

5@7 < 16@21 < 11@14 

ç 7 tj] (7.023 - 11.203) = m, vlsy rj m = ? (2000) 

[1] &4-18 [2] 18-226 

[3] 4-18 [4] &18-226 

pwd! fyfgysys mRrj % 0] vpwd mRrj % 1-

¼7-023 & 11-203½ ¾ m rj m ¾ \ 

m ¾ & 4-180 

ç 8 

A o B fcanwe/khy varj 'kks/kk- 

[1] 0.3 ,dd [2] 3.20 ,dd 

[3] -0.3 ,dd [4] -3.20 ,dd 


A o B fcanwe/khy varj ¾ 1-75 $ 1-45 

¾ 3-20 ,dd 

ç 9 

tj xsY;k o"khZ 1200 esVªhd Vu lk[kj fu;kZr dsyh] rj fdrh fDaoVy lk[kj fu;kZr 

dsyh\ 

[1] 120 [2] 12000 

[3] 1200000 [4] 1.2 


1200 esfVªd Vu ¾ 1200000 fdxzW ¾ 12000 fDoaVy- 

ç 10 

2 rs10 i;ZarP;k dks.kR;kgh la[;sus Hkkxys vlrk ckdh 1 mjsy] v'kh ygkukar ygku 

la[;k dks.krh\ (1988) 

[1] 2521 [2] 10000 

[3] 5054 [4] 5500 


2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ;kapk ylkfo 

2 × 3 × 4 × 5 × 7 × 2 × 3 ¾ 2520 

rh la[;k 2520 $ 1 ¾ 2521 

ç 11 

tj x = 31, y = 36,rj .ph fadaer dk

[1] [2] 5 

[3] 25 [4] 6 


ç 12 953218 gh la[;k 10 P;k ?kkrkadkP;k inkoyhe/;s &&&&v'kh eksMrkr- (2000) 

[1] 9 x 10 5 + 5 x 10 4 + 3 x 10 3 + 2 x 10 2 + 1 x 10 1 + 8 x 10 0 

[2] 9 x 10 0 + 5 x 10 1 + 3 x 10 2 + 2 x 10 3 + 1 x 10 4 + 8 x 10 5 

[3] 9 x 10 4 + 5 x 10 5 + 3 x 10 3 + 2 x 10 2 + 1 x 10 1 + 8 x 10 1 

[4] 9 x 10 5 + 5 x 10 4 + 3 x 10 3 + 2 x 10 1 + 1 x 10 2 + 8 x 10 0 


ç 13 24 fefuVkaps 72 lasdnk'kh vlysys xq.kksRrj fdrh\ (1997) 

[1] 1:3 [2] 3:1 

[3] 20:1 [4] 1: 20 


24 × 60 : 72 ¾ 1440 : 72 ¾ 20 : 1 

ç 14 

,d cl A ;k fBdk.kkiklwu 40 fdeh çfr rkl ;k osxkus çokl djr vkgs( R;kp 

ekxkZoj ,d eksVkj v/;kZ rklkuarj A ;k fBdk.kkiklwu çokl d: ykxyh vkf.k R;k 

eksVkjus 45 fefuVkauarj R;k clyk vksYkkaMys rj R;k eksVkjpk osx Bjok- 

[1] 60 fdeh çfr rkl [2] 75 fdeh çfr rkl 

[3] 66.66 fdeh çfr rkl [4] 100 fdeh çfr rkl 


clus dkiysys varj 40 × 1-25 ¾ 50-00 fdeh- 

eksVkjus 45 fefuVkr 50 fdeh varj dkiys- 

45 fefuVs : 50 fdeh 

60 fefuVs : x fdeh

eksVkjpk osx 66-66 fdeh / rkl- 

ç 15 

ikp Øeokj le la[;kaph ljkljh 12 vkgs- rj lokZr ygku le la[;k lokZr eksB;k le 

la[;sP;k fdrh iV vkgs\ (1987) 

[1] 2 iV [2] 1/2 iV 

[3] 4 iV [4] 1/4 iV 


R;k la[;k x , x $ 2 , x $ 4 , x $ 6 , x $ 8 ekuw- 

la[;k ¾ 8 , 10 , 12 , 14 , 16 

ygku la[;k eksB;k la[;sP;k 

iV- 

ç 16 7/40 ps 20% = fdrh= ? (1997) 

[1] 0.035 [2] 0.07 

[3] 0.35 [4] 0.7 


ç 17 

ljGO;ktkP;k nlkn'ks fdrh njkus 10000 #i;kaps 2½ o"kkZr 15000 #i;s gksrhy\ 

[1] nlkn'ks 15 [2] nlkn'ks 20 

[3] nlkn'ks 8 [4] nlkn'ks 12 


R = ? , P = 10000 , N = 2-5

15000 & 10000 ¾ 5000 

I ¾ 5000 

ç 18 

foØsRkk o [kjsnh dj.kkjk ;k nks?kkadMwu nyky çR;sdh 5% nykyh ?ksrks] 'kadjjkokauh 

vkiys ?kj nykykekQZr jkejkokauk 9000 :- fodys- rj jkejkokauk rs ?kj fdrh fdaerhyk 

feGkys\ 

[1] 8100 :- [2] 8500 :- 

[3] 9900 :- [4] 9450 :- 


'kadjjkokauh ?kj nykykekQZr 9000 :- fodys- 

nykykus jkejkokadMwu o 'kadjjkokadMqwu çR;sdh 5% nykyh ?ksryh- 

100 5 

9000 x 

¾ 450 nykykps dfe'ku 

jkejkokauk ?kj 9450 :- uk feGkys- 

ç 19 

,dk oLrwP;k Nkihy fderhoj 10% loyr nsÅugh nqdkunkjkyk 20% uQk gksrks- tj rh 

oLrw loyrhf'kok; fodyh rj] gks.kkÚ;k u;kps 'ksdMk çek.k fdrh vlsy\ (2001) 

[1] 10% [2] 20% 

[3] 25% [4] 30oLr% 


oLrwph Nkihy fdaer 100 :- ekuw-

10% loyr nsÅu rh 90 :- feGsy- 

90 :- fodwugh nqdkunkjkyk 20% uQk gksrks- 

oLrqph [kjsnhph fdaer dk

[1] 3 [2] 4/5 

[3] 41/22 [4] -2 


x ¾ 2 ] y ¾ &3 

ç 22 (x 2 + 5x + 6) ÷ (x +3) = ? (1986) 

[1] x + 3 [2] x + 2 

[3] x + 6 [4] x + 5 


ç 23 

rj x = ? (1996) 

[1] 1 [2] 2 

[3] 3 [4] 4 


ç 24 

[kkyhy vkys[kkps fujh{k.k d:u R;k[kkyhy ç'ukaph mRrjs fygk vkys[kke/;s ,dk 

O;kikÚ;kph ,d vkBoM;kph foØh fnysyh vkgs-. (1992) 

eaxGokj rs 'kfuokj v[ksjph ljkljh foØh fdrh\ 

[1] 60 [2] 80 

[3] 65 [4] 50 


ç 25 'kstkjP;k vkd`rhyk [kkyhyiSdh dk; Eg.kky\ (1987) 

[1]js"kk PQ 

[3]fdj.k PQ 


[2]js"kk QP 

[4] fdj.k QP 

vkÑrhr ,d fdj.k nk[kfoyk vkgs -R;kph fn'kk Q iklwu P dMs- 

ç 26 

?kM;kGkr Bhd lkMslgk oktrk R;kP;k nksu eq[; dkVk fdrh ekikpk dksu vlrks\(1987) 

[1] 0 0 [2] 15 0 

[3] 30 0 [4] 180 0 


rkl dkVk 6 o 7 P;k cjkscj e/;s , 6 o 7 e/;s pk dksu , 

fefuVdkVk 6 oj Eg.kwu nksu dkV;kae/;s 

pk dksu-

ç 27 

ojhy vkd`rhr ARS pk O;qRØe dksu dks.krk\ 

[1] CSQ [2] BRS 

[3] RSC [4] RSD 


ARS pk O;qRØe dksu RSD 

ç 28 

lkscrP;k vkd`rhr] BDEG gk lekarjHkqt pkSdksu vkgs( rjm x=? (1988) 

[1] 45 0 [2] 50 0 

[3] 60 0 [4] 75 0 


m BGF = ¼fo:n~/k dksu½ 

m AFG = 180 & m AFE = 180 & 105 ¾ ¼js"kh; tksMhrhy dksu½ 

m AGE = m AFG + m GAF = 180 ¼f=dks.kkps dksu½ 

75 $ 60 $ x ¾ 180 x ¾ 180 & 75 & 60 ¾

ç 29 

nksu ,d:i dkVdksu f=dks.k ,desadkl vls tksMys dh R;kaps d.kZ ,desadkuk rarksrar 

tqGrhy] rj [kkyhyiSdhy dks.krh vkd`rh r;kj gksbZy\ 

[1] leHkqt pkSdksu [2]pkSjl 

[3] vk;r [4] Bjork ;sr ukgh- 


nksu ,d:i dkVdksu f=dks.kkaps d.kZ ,desdkal tksMwu vk;r r;kj gksbZy- 

ç 30 

lkscrP;k vkd`rhr] m ph fdaer fdrh\ (2001) 

[1] 15 [2] 14.5 

[3] 24 [4] 24.5 


625 ¾ 49 $ 

¾ 625 & 49 ¾ 576 

2m & 5 ¾ 24 2m ¾ 29 m ¾ 14-5 

ç 31 ,dk vk;rkph ykach :anhP;k friVhis{kk 2 lseh us tkLr vkgs- tj vk;rkph ifjferh 60 

lseh vlsy] rj vk;rkph ykach fdrh\(1988) 

[1] 14 lseh [2] 21 lseh 

[3] 23 lseh [4] 19 lseh


vk;rkph :anh x ekuw- ykach ¾ 3x $ 2 

vk;rkph ifjferh ¾ 2 ¼ykach $ :anh½ 

60 ¾ 2 ¼3x $ 2 $ x ½ ¾ 2 ¼4x $ 2½ ¾ 8x $ 4 

60 & 4 ¾ 8x 8x ¾ 56 x ¾ 7 

ykach ¾ 3x $ 2 ¾ 7 × 3 $ 2 ¾ 23 lseh- 

ç 32 

[kkyhyiSdh dks.krs fo/kku vkd`rhps vpwd o.kZu djrs\ 

[1] ABCD [2] ADBC 

[3] ACBD [4]loZ frUgh i;kZ; 


ABCD gs ;ksX; uko ¼f'kjksfcanwapk Øe egRokpk½- 

ç 33 

,dk orqZGP;k orqZGdssanzkrwu tk.kkÚ;k thosph ykach 17 lseh vkgs] rj R;k orqZGkph 

f=T;k fdrh lseh vkgs\ (1997) 

[1] 34 [2] 17 

[3] 8.7 [4] 8.5 


orqZGdsanzkrwu tk.kkjh thok Eg.kts O;kl -

ç 34 

lkscrP;k vkd`rhr] fcanw O gk orqZGkpk dsanzfcanw vkgs- rj m QPT = fdrh\ (2003) 

[1] 55 0 [2] 125 0 

[3] 70 0 [4] 110 0 


PRS PSQ ¼cktw PS lkekbZd , m PSR m PSQ 

dkVdksu , cktw RS 

cktw SQ½ 

cktw PR 

cktw PQ 

POR POQ ¼cktw OP lkekbZd , OR OQ ¼f=T;k½, 

cktw PR 

cktw PQ ¼,d:i f=dks.kkaP;k cktw½

m POR = m POQ = x ekuw- 

m ROQ = 

110 + x + x = 360 ¼0 fcanwHkksorhps dksu½ 

2x ¾ 250 x ¾ 125 

m RPO = m PRO ¼lef}Hkwt POR½ 

m RPQ = m RPO + m OPQ = 27-5 $ 27-5 ¾ 

m QPT = 180 & 55 ¾ ¼js"kh; tksMhrhy dksu½ 

ç 35 

,dk vk;rkÑrh ckxsph ykach #anhP;k 5/4 iV vkgs- ckxsyk pkj injh dqai.k ?kky.;kpk 

[kpZ 36 #- ehVj çek.ks 129600 #- vlY;kl ckxsph #anh dk

ç 36 

xksiky ;kus dks.kR;k o"khZ iky lRrsph LFkkiuk dsyh\ 

[1] bl 1330 [2] bl 725 

[3] bl 1130 [4] bl 825 


- 

ç 37 

eFkqjk] o`ankou] dukSt vkf.k lkseukFk ;sFkhy eafnjka'kh x>uhP;k egeqnkpk 

laca/k dk;\ 

[2] R;kus ;k eafnjkauk eksB~;k ns.kX;k 

[1] rks njo"khZ ;k eafnjkauk HksVh |k;pk 

fnY;k 

[3] R;kus ;k eafnjkapk th.kksZ/nkj dsyk [4] ;kiSdh ukgh 


R;kus gh eafnjs yqVwu vifjfer laiRrh feGfoyh- 

ç 38 ujlh esgrk % \ 

[1] lektlq/kkjd [2] ifgyk xqtjkrh doh 

[3] çfl/n 'kkld [4] ;kiSdh ukgh 


- 

ç 39 

^[kkylk ny* ukokph y

[3] vkfny'kkghrhy vuqHkoh ljnkj [4] ;kiSdh ukgh 


- 

ç 42 

eqckjd[kkukus laHkkth egkjktkauk dqBs dSn dsys\ 

[1] fpiGw.k [2] laxes'oj 

[3] pkd.k [4] vgenuxj 


- 

ç 43 

panzxzg.kkpk tkLrhr tkLr dkyko/kh --------------- vlrks- 

[1] 2 rkl 7 fefuVs [2] 58 fefuVs 

[3] 1 rkl 47 fefuVs [4] 1 rkl 10 fefuVs 


- 

ç 44 

txkrhy lokZr [kksy xrkZ [kkyhyiSdh dks.kR;k egklkxjkr vkgs\ 

[1] fganh egklkxj [2] iWflfQd egklkxj 

[3] vVykafVd egklkxj [4] vkfDVZd egklkxj 


- 

ç 45 [kkyhyiSdh dks.krk O;olk; çkFkfed O;olk;kae/;s eksMr ukgh\ 

[1] rkT;k oLrqaiklwu fVdkÅ oLrw [2] etqjhP;k ekukus feGdr deh 

cufork ;srkr- 

vlrs- 

[3] gs O;olk; iw.kZr% fulxkZoj [4] ;k O;olk;kauk euq";cG cjsp 

voyacwu vlrkr 

ykxrs 


- 

ç 46 

vWisysf'k;u ioZr jkax mRrj vesfjdk [kaMkP;k dks.kR;k Hkkxkr vkgs\ 

[1] iwoZ fdukÚ;koj [2] mRrjsdMs 

[3] if'pe fdukÚ;koj [4] nf{k.ksdMs 


-

ç 47 

vWukdksaMk Eg.kts dk;\ 

[1] ,d unh [2] ,d f'k[kj 

[3] ,d lki [4] ,d xorkG çns'k 


- 

ç 48 ^eyk lRrk] ekU;rk vkf.k lalk/kuke/khy jkLr okVk feGkyk ikfgts* ;k 

okD;k'kh lafo/kkukrhy dks.krs mfn~n"V fuxfMr vkgs\ 

[1] lekurk [2] U;k; 

[3] Lokra«; [4] lektokn 


- 

ç 49 

yksdlHksr fuoMwu ;s.;klkBh fuoM.kwd y

Ã§ 1

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