math-set-1-10

Page 1

cÖv_wgK wkÿv mgvcbx cixÿv- 2014 g‡Wj †U÷-1 welq: MwYZ mgq- 2NÈv 30 wgwbU c~Y©gvb- 100

[Wvb cv‡ki msL¨v cÖ‡kœi c~Y©gvb ÁvcK| 1,2,3,5 I 13 bs cÖkœmn †gvU 10wU cÖ‡kœi DËi w`‡Z n‡e] 1  10 = 10

1| mwVK DËiwU DËic‡Î †jL: (i)

5wU Av‡gi `vg 75 UvKv n‡j, GKwUi `vg KZ? (K) 3 UvKv

(L) 5 UvKv

(M) 15 UvKv

(N) 30 UvKv

(M) 60

(N) 70

(M) ˃

(N) {}

(ii) 22, 46, 60 I 72 Gi Mo KZ? (K) 40

(L) 50

(iii) wb‡Pi †KvbwU m¤úK© wPý? (K) 

(L) 7

(iv) 24 I 36 Gi Mwiô mvaviY ¸YbxqK †KvbwU? (K) 8

(L) 9

(M) 12

(N) 24

3 (L) 8

3 (M) 7

3 (N) 6

(M) .000081

(N) .00081

45 (M) 9

45 (N) 100

(v) †Kvb fMœvskwU eo? 3 (K) 9

(vi) 0.3  0.03 0.003  30 = KZ? (K) 810000

(L) 81000

(vii) 45% এর mvaviY fMœvsk Kত 9 (K) 20

20 (L) 9


(viii) kÖveY gvm KZ w`‡b? (K) 29 (L) 30

5| Acy I `xcyi Mo eqm 22 eQi, `xcy I wUcyi Mo eqm 24 eQi| Acyi eqm 21 eQi| 2  5 = 10 (K) 1 eQi mgvb KZ w`b?

(M) 31

(N) 32

(M) PviwU

(N) †KvbwU bq

(ix) e‡M©i KqwU evû mgvb? (K) `ywU

(L) wZbwU

(M) `xcyi eqm KZ?

(x) Kw¤úDUv‡ii g~j Ask KqwU? (K) GKwU

(L) `ywU

(L) Acy I `xcyi †gvU eqm KZ?

(M) wZbwU

2| ms‡ÿ‡c DËi `vI:

(N) `xcy I wUcyi †gvU eqm KZ?

(N) PviwU 1  10 = 10

(K) ¸Ydj‡K ¸YK w`‡q fvM Ki‡j Kx cvIqv hvq?

(O) wUcyi eqm KZ? 6| PviwU NÈv GK‡Î †e‡R c‡i 5, 7, 12 Ges 15 wgwbU AšÍi evR‡Z jvMj| b~¨bZg KZÿY c‡i NÈv¸‡jv cybivq GK‡Î evR‡e?

(L) 10wU wW‡gi `vg 40 UvKv, 12wU wW‡gi `vg KZ?

10

1 1 7| GKwU LuywUi 6 Ask Kv`vq, 2 Ask cvwb‡Z Ges evwK Ask cvwbi Dc‡i Av‡Q| cvwbi

(M) 20, 21, 22, 23 ও 24 Gi Mo KZ? (N) M.mv.¸. Gi c~Y©iƒc Kx?

Dc‡ii As‡ki ˆ`N©¨ 2 wgUvi n‡j, cvwb‡Z hZUzKz LuywU Av‡Q, Zvi ˆ`N©¨ KZ?

(O) cÖwµqv cÖZxK KqwU I Kx Kx?

10

8| `yBwU msL¨vi †hvMdj 70.60| eo msL¨vwU †QvU msL¨v †_‡K 4.50 †ewk| msL¨v

(P) fMœvsk  c~Y©msL¨v = Kx?

`yBwU wbY©q Ki|

10

(Q) kZKiv Kx?

9| evwl©K 5% gybvdvq 300 UvKvi KZ eQ‡ii gybvdv 60 UvKv n‡e?

(R) IRb cwigv‡ci g~j GKK Kx?

10| GKwU AvqZvKvi †ÿ‡Îi †ÿÎdj 10,800 eM©wgUvi Ges cÖ¯’ 40 wgUvi| ˆ`N©¨ KZ? 10 11| 5 eQi 4 w`b‡K wgwb‡U cwiYZ Ki| 10

(S) †Kvb ixwZ‡Z mKvj, `ycyi, weKvj, mܨv, ivZ ejv nq bv? (T) GKwU Avq‡Zi mwbœwnZ evûØq mgvb n‡j Zv‡K Kx e‡j?

10

12| evjyPov miKvwi cÖv_wgK we`¨vj‡qi cuvPwU †kÖwYi wkÿv_©x‡`i msL¨v wb¤œiƒc: DcvË 3| 6wU †Pqvi I 4wU †Uwe‡ji g~j¨ GK‡Î 9570 UvKv| 1wU †Pqv‡ii g~j¨ 675 UvKv| (K) GK †Rvov mgvb KqwU?

AbymiY K‡i ¯Í¤¢ †jL AvuK|

2  5 = 10

(L) 6wU †Pqv‡ii g~j¨ KZ? (M) PviwU †Uwe‡ji g~j¨ KZ? (N) 1wU †Uwe‡ji g~j¨ KZ? (O) 1 wU †Uwej I 1wU †Pqv‡ii g~‡j¨i cv_©K¨ KZ? 4| GKwU cyKzi Lbb Ki‡Z 200 Rb †jv‡Ki 25w`b jv‡M| cyKziwU 20 w`‡b Lbb Ki‡Z PvB‡j AwZwi³ KZRb †jvK wb‡qvM Kiv cÖ‡qvRb?

10

10

†kÖwY wkÿv_©xi msL¨v cÖ_g 80 wØZxq 75 Z…Zxq 78 PZz_© 65 cÂg 55 13| (K) 3 †m.wg. e¨vmv‡a©i GKwU e„Ë AvuK Ges Gi wewfbœ Ask wPwýZ Ki| 4 (L) wPÎmn msÁv wjL: (‡h‡Kv‡bv 2wU) 23=6 PZzf©yR, eM©, R¨v


cÖv_wgK wkÿv mgvcbx cixÿv- 2014 g‡Wj †U÷-2 welq: MwYZ mgq- 2NÈv 30 wgwbU c~Y©gvb- 100

[Wvb cv‡ki msL¨v cÖ‡kœi c~Y©gvb ÁvcK| 1,2,3,5 I 13 bs cÖkœmn †gvU 10wU cÖ‡kœi DËi w`‡Z n‡e] 1  10 = 10

1| mwVK DËiwU DËic‡Î †jL: (i)

QqwU †cw݇ji `vg 24 UvKv n‡j, GKwUi `vg KZ? (K) 3 UvKv

(L) 4 UvKv

(M) 24 UvKv

(N) 72 UvKv

(M) 12

(N) 14

(M) 4wU

(N) 5wU

(ii) 10, 11, 12, 13 I 14 Gi Mo KZ? (K) 10

(L) 11

(iii) 60 Gi †gŠwjK ¸YbxqK KqwU? (K) 2wU

(L) 3wU

(iv) wb‡Pi †KvbwU †Lvjv evK¨? (K) 24 = 168

(L) 2K = 168

(M) 1+2+3+4=10

(N) 102=5

(v)

+

= KZ?

(K) (vi)

(L)

(M)

(N)

(M) 80%

(N) 90%

†K kZKivq cÖKvk Ki‡j KZ n‡e? (K) 60%

(L) 70%

(vii) 75 wK‡jvMÖv‡g KZ MÖvg? (K) 750 MÖvg

(L) 7500 MÖvg

(M) 75000 MÖvg (N) 750000 MÖvg


4| †Kv‡bv cwiev‡i 8 Rb †jv‡Ki 26w`‡bi Lv`¨ Av‡Q| 5w`b ci 1 Rb †jvK evB‡i

(viii) 2100 mv‡ji †deªæqvi gvm KZ w`‡b wQj? (K) 28 w`‡bi

(L) 29 w`‡bi

(M) 30 w`‡bi

(N) 31 w`‡bi

(L) 100

(M) 120

(N) 180

(K) Mo wbY©‡qi m~ÎwU Kx?

n‡e?

(L) gwji †gvU b¤^i KZ? (L) 4 evi

(M) 5 evi

2| ms‡ÿ‡c DËi `vI:

(N) 6 evi 1  10 = 10

(M) gwji cÖ‡Z¨K wel‡q Mo b¤^i KZ? (N) gwj hw` 5 wel‡q †gvU 425 b¤^i cvq Zvn‡j cÖ‡Z¨K wel‡q M‡o KZ cv‡e? (O) gwj MwY‡Z I Bs‡iwR‡Z †gvU KZ b¤^i †c‡q‡Q?

(K) wbt‡k‡l wef¨R¨ n‡j fvR¨ wbY©‡qi m~ÎwU †jL|

6| †Kvb ÿz`ªZg msL¨v‡K 12, 18, 30 Øviv fvM Ki‡j h_vµ‡g 6, 12, 24 Aewkó _vK‡e? 10

(L) 10wU wW‡gi `vg 40 UvKv n‡j 3wU wW‡gi `vg KZ? (M) j. mv. ¸. Gi c~Y©iƒc Kx?

7| gwj Zvi UvKvi

(N) (K6) 2= 8054) GLv‡b ÔKÕ Gi gvb KZ? (O)

2  5 = 10

Ges a‡g© 73 b¤^i †c‡q‡Q|

(x) 17+9 =  mgm¨vwU mgvavb Ki‡Z GKwU mPj K¨vjKz‡jU‡ii Kq evi †evZvg wUc‡Z

(K) 3 evi

10

5| gwj evwl©K cixÿvq evsjvq 68, MwY‡Z 96, Bs‡iRx‡Z 81, cÖv_wgK weÁv‡b 77

(ix) e‡M©i cÖwZwU †Kv‡Yi cwigvc KZ wWMÖx? (K) 90

P‡j †Mj| GLb evwoi †jv‡Ki Aewkó Lv‡`¨ Avi KZw`b Pj‡e?

Ask w`‡q KvMR,

Ask w`‡q Kjg I

Ask w`‡q LvZv wK‡b

†`Lj Zvi wbKU AviI 52 UvKv i‡q‡Q| cÖ_‡g Zvi wbKU KZ UvKv wQj?

†K jwNô AvKv‡i cÖKvk Ki

10

8| GKRb wkÿK 60.60 UvKv WRb দ‡i 393.90 UvKvi Kgjv wK‡b 13 Rb wkÿv_©xi

(P) kZKiv kãwU‡K ms‡ÿ‡c Kx †jLv nq?

g‡a¨ mgvbfv‡e fvM K‡i w`‡jb| cÖ‡Z¨K wkÿv_©x KqwU K‡i Kgjv †cj?

(Q) ˆ`N©¨ cwigv‡ci g~j GKK Kx?

10

(R) eM©‡ÿ‡Îi †ÿÎdj wbY©‡qi m~ÎwU †jL|

9| kZKiv evwl©K gybvdvi nvi 7 UvKv| 700 UvKvi 7 eQ‡ii gybvdv KZ?

(S) avivevwnKfv‡e 100 eQi mgqKvj‡K Kx e‡j?

10| GKwU AvqZvKvi evMv‡bi †ÿÎdj 6784 eM©‡m.wg.| ˆ`N©¨ 128 †m.wg. n‡j,

(T) e„‡Ëi R¨v e„ˇK KqwU Pv‡c wef³ K‡i? 3| wcZv I cy‡Îi eq‡mi mgwó 96 eQi| cy‡Îi eqm 24 eQi| (K) 1 eQi mgvb KZ w`b? (L) eZ©gv‡b wcZvi eqm KZ? (M) 10 eQi c~‡e© wcZvi eqm KZ wQj? (N) 10 eQi c~‡e© cy‡Îi eqm KZ wQj ? (O) eZ©gv‡b wcZv I cy‡Îi eq‡mi cv_©K¨ KZ

cÖ¯’ KZ? 2  5 = 10

10 10

11| 4 eQi 3 gvm 10w`b‡K NÈvq cwiYZ Ki|

10

12| ¯^iƒcKvwV Dc‡Rjv MZ eQ‡ii cuvP ai‡bi Drcbœ dm‡ji cwigvY wb‡Pi Q‡K †`Iqv n‡jv| Q‡Ki Z_¨ AbymiY K‡i ¯Í¤¢ †jL AvuK| dmj avb cvU Mg †Qvjv Wvj

cwigvY (U‡b) 450 260 350 50 80

10


13| (K) 4 †m.wg. e¨vmv‡a©i GKwU e„Ë AvuK Ges Gi wewfbœ Ask wPwýZ Ki| (L) wPÎmn msÁv wjL: (†h‡Kv‡bv 2wU) AvqZ i¤^m e„Ë

4

23=6


(Q) (R) (S) (T)

cÖv_wgK wkÿv mgvcbx cixÿv- 2014

g‡Wj †U÷- 3 welq: MwYZ mgq- 2NÈv 30 wgwbU

1 KzB›Uvj Pv‡ji `vg 4200 UvKv| (K) 1 KzB›Uvj mgvb KZ †KwR? (L) 10 KzB›Uvj Pv‡ji `vg KZ? (M) 1 †KwR Pv‡ji `vg KZ? (N) 5 †KwR Pv‡ji `vg KZ? (O) 5 †KwR I 1 †KwR Pv‡ji `v‡gi cv_©K¨ KZ?

4|

GKwU QvÎxev‡m 16 Rb QvÎxi 25 w`‡bi Lv`¨ Av‡Q| K‡qKRb bZzb QvÎx Avmvq 20 w`‡b Lv`¨ †kl n‡q †Mj bZzb QvÎxi msL¨v KZ? 10

5|

mvZwU msL¨vi †hvMdj 401| cÖ_g wZbwU msL¨vi Mo 56 Ges †k‡li wZbwU msL¨vi Mo 58| 2  5 = 10 (K) Mo wbY©‡qi m~ÎwU †jL| (L) cÖ_g wZbwU msL¨vi †hvMdj KZ? (M) †k‡li wZbwU msL¨vi †hvMdj KZ? (N) cÖ_g wZbwU I †k‡li wZbwU msL¨vi †hvMdj KZ? (O) PZz_© msL¨vwU KZ? †Kvb ÿz`ªZg msL¨vi m‡½ 7 †hvM Ki‡j †hvMdj 15, 15, 20, 24 I 32 Øviv wbt‡k‡l wefvR¨ n‡e|

[Wvb cv‡ki msL¨v cÖ‡kœi c~Y©gvb ÁvcK| 1,2,3,5 I 13 bs cÖkœmn †gvU 10wU cÖ‡kœi DËi w`‡Z n‡e] mwVK DËiwU DËic‡Î †jL: (i) GKwU †cw݇ji `vg 5 UvKv n‡j, 6wU †cw݇ji `vg KZ? (K) 30 UvKv (L) 40 UvKv (M) 50 UvKv (ii) 5wU msL¨vq Mo 30 n‡j, msL¨v¸‡jvi †hvMdj KZ? (K) 6 (L) 30 (M) 60 (iii) 24 Gi ¸YbxqK KqwU? (K) 6wU (L) 8wU (M) 10wU (iv)

(vi)

(vii) (viii) (ix) (x)

(N) 12wU

(L)

(M)

(N)

15 3-K = 30 GLv‡b ÔKÕ Gi gvb KZ? (K) 15 (L) 24 (M) 36 (N) 72 jvf ev ÿwZ wK‡mi Dci wbf©i K‡i? (K) µq g~‡j¨i Dci (L) weµq g~‡j¨i Dci (M) µq g~j¨ I weµq g~‡j¨i Dci (N) †KvbUvর উci bq 79600 wK‡jvMÖv‡g KZ KzB›Uvল? (K) 697 KzB›Uvল (L) 796 KzB›Uvল (M) 7960 KzB›Uvল (N) 79600 KzB›Uvল ˆPÎ gvm KZ w`‡b? (K) 28 (L) 29 (M) 30 (N) 31 ্ব্যাস e¨ªvmv‡a©i KZ ¸Y? (K) GK¸Y (L) wظY (M) wZb¸Y (N) Pvi¸Y wb‡Pi †Kvb †evZvg wU‡c K¨vjKz‡jUi eÜ Ki‡Z nq? (K) ON

2|

(N) 60

fMœvskwUi AcÖK…Z fMœvsk †KvbwU? (K)

(v)

1  10 = 10

(N) 150

(L) OFF

(M)

6| 7| 8| 9| 10| 11| 12|

(N) ON/C

ms‡ÿ‡c DËi `vI: 1  10 = 10 (K) wbt‡k‡l wefv‡R¨i †ÿ‡Î evRK wbY©‡qi m~Î wjL| (L) HwKK wbq‡g cÖ_‡g KqwU wRwb‡mi `vg †ei Ki‡Z n‡e? (M) 14, 15, 16, 17 I 18 Gi Mo KZ? (N) GKvwaK msL¨vq †Kv‡bv mvaviY †gŠwjK ¸YbxqK ev Drcv`K bv _vK‡j Zv`i M.mv.¸ KZ? (O) gybvdvi nvi wbY©‡qi m~ÎwU †jL? (P) KZ KzB›Uv‡j 1 †gwUªK Ub?

2  5 = 10

3|

cY©gvb- 100

1|

wLªóvã KZ mvj †_‡K Awael© MYbv ïiæ nq? RbmsL¨vi NbZ¡ ej‡Z Kx eyS? e¨vmva© e¨v‡mi KZ Ask? K¨vjKz‡jUi k‡ãi A_© Kx?

x13|

mv¾v` mv‡n‡ei wbKU 24000 UvKv wQj| wZwb Zuvi UvKvi

Ask GwZgLvbvq,

Ask wkÿv

cÖwZôv‡b `vb Ki‡jb| Zvi wbKU Avi KZ UvKv iB‡jv? 10 40 Rb wkÿv_©xi cÖ‡Z¨‡K 12.75 UvKv K‡i Puv`v †`Iqvq †gvU hZ UvKv n‡jv, Zv 8 Rb `wi`ª †jv‡Ki g‡a¨ mgvbfv‡e fvM K‡i †`Iqv n‡jv| cÖ‡Z¨K `wi`ª †jvK KZ UvKv K‡i †cj? 10 gybvdvi nvi 6% n‡j, KZ UvKvi 5 eQ‡ii gybvdv 180 UvKv n‡e? 10 eM©‡ÿ‡Îi GK evûi ˆ`N©¨ 65 †m.wg. n‡j, †ÿÎdj KZ? 10 5 w`b 8 NÈv 15 wgwbU‡K †m‡K‡Ð cwiYZ Ki| 10 XvKv †_‡K moK c‡_ cuvPwU kn‡ii `~iZ¡ (`k wK‡jvwgUv‡ii wbKUZg ¸wYZ‡K) wb‡¤œi †`Iqv n‡jv| DcvË AbymiY K‡i ¯Í¤¢‡jL AvuK| 10 ¯’vb `~iZ¡ PÆMÖvg 290 iscyi 440 Lyjbv 330 ivRkvnx 310 wm‡jU 400 (K)GKwU PZzf©yR AvuK| Gi evû PviwU Ges KY© `yBwUi ˆ`N©¨ gvc| (L) wPÎmn msÁv wjL: (†h‡Kv‡bv 2wU) 23=6 i) mvgvšÍwiK, e„‡Ëi †K›`ª, e¨vm


cÖv_wgK wkÿv mgvcbx cixÿv-2014 g‡Wj †U÷-4 welq: MwYZ mgq- 2 N›Uv 30 wgwbU c~Y©gvb- 100 [Wvb cv‡ki msL¨v cÖ‡kœi c~Y©gvb ÁvcK| 1, 2, 3, 5, I 13 bs cÖkœmn †gvU `kwU cÖ‡kœi DËi w`‡Z n‡e]

1| mwVK DËiwU DËic‡Î †j‡Lv: 110=10 (i) 84) 8 5 ( Lvwj N‡i †Kvb A¼ emv‡j fvMdj 10 Gi †P‡q †QvU Ges fvM‡kl 69 n‡e? (K) 1 (L) 2 (M) 3 (N) 4 (ii) 10, 11, 12, 13 I 14 Gi Mo KZ? (K) 10 (L) 11 (M) 12 (N) 13 (iii) K + 30  3 = 12 GLv‡b ÔKÕ Gi gvb KZ? (K) 2 (L) 4 (M) 6 (N) 8 (iv) †Kvb fMœvskwU eo? 3 3 3 3 (K) 4 (L) 5 (M) 6 (N) 8 (v) 0.10.10.1 = KZ? (K) 1 (L) 0.01 (M) 0.001 (N) 0.0001 (vi) e¨vs‡K †h UvKv Rgv ivLv nq Zv‡K Kx e‡j? (K) gybvdv (L) gybvdvi nvi (M) Avmj (N) mgq (vii) 1 †gwUªK Ub = KZ KzB›Uvj? (K) 10 (L) 100 (M) 1000 (N) 10000 (viii) 2014 mv‡j †deªæqvwi gvm KZ w`‡bi? (K) 28 (L) 29 (M) 30 (N) 31 (ix) Gwiqvi w`K w`‡q evsjv‡`‡ki Ae¯’vb KZ? (K) beg (L) 19Zg (M) 90Zg (N) 190 Zg (x) PZzf©y‡Ri Pvi †Kv‡Yi mgwó KZ wWMÖx? (K) 900 (L) 1800 (M) 2700 (N) 3600 2| ms‡ÿ‡c DËi `vI: 110=10 (K) wbt‡k‡l wefvR¨ bv n‡j fvR¨ wbY©‡qi m~Î Kx? (L) 1 WRb Kjvi `vg 30 UvKv n‡j 3 WRb Kjvi `vg KZ? (M) ¸Ybxq‡Ki Aci bvg Kx? (N) 3  K  20 GLv‡b K Gi gvb KZ? (O) †Kv‡bv fMœvsk  H fMœvs‡ki wecixZ fMœvsk = KZ? (P) 25 UvKvi 8% = KZ?

(Q) eM©‡ÿ‡Îi GK evûi ˆ`N©¨ 5 wgUvi n‡j Gi †ÿÎdj KZ? (R) evsjv g‡Z KLb †_‡K w`b I ZvwiL ïiæ nq? (S) †h Avq‡Zi `yBwU mwbœwnZ evû mgvb Zv‡K Kx e‡j? (T) AvaywbK hyM‡K wK‡mi hyM ejv nq? 3| GKwU KvR 30 Rb †jvK 18 w`‡b m¤úbœ Ki‡Z cv‡i| 12 w`‡b KvRwU m¤úbœ Ki‡Z n‡e| (K) KZ w`‡b GK gvm? 25=10 (L) GKRb †jvK KZ w`‡b KvRwU m¤úbœ Ki‡Z cvi‡e? (M) 1 w`‡b KvR m¤úbœ Ki‡Z KZRb †jvK jvM‡e? (N) 12 w`‡b KvRwU m¤úbœ Ki‡Z KZRb †jvK jvM‡e? (O) 5 Rb †jvK KZw`‡b KvRwU m¤úbœ Ki‡Z cvi‡e? 4| 200 Rb †jvK †h Lv`¨ 20 w`‡b †L‡Z cv‡i, KZRb †jvK †m Lv`¨ 40 w`‡b †L‡Z cvi‡e? 10 5| Kwj, Wwj, cwj, gwj I wjwji D”PZv h_vµ‡g 123 †m.wg, 131 †m.wg, 135 †m.wg, 126 †m.wg. Ges 130 †m.wg.| 25=10 (K) †hvMdj wbY©‡qi m~ÎwU wjL| (L) Zv‡`i †gvU D”PZv KZ? (M) Zv‡`i cÖ‡Z¨‡Ki Mo D”PZv KZ? (N) Kwj, Wwji †gvU D”PZv KZ? (O) wjwji †QvU †evb Rwji D”PZv 120 †m.wg. n‡j Zv‡`i 6 R‡bi †gvU D”PZv KZ? 6| GKwU AvqZKvi njN‡ii ˆ`N©¨ 12 wgUvi Ges cÖ¯’ 7 wgUvi| me©vwaK †Kvb mvB‡Ri eM©vKvi Uvwj Øviv NiwUi †g‡S evuav‡bv hv‡e, †hb †Kvb Uvwj fvOv bv c‡o? 10 1 3 7| Kgj evey Zvui gvwmK Av‡qi 5 Ask evwo fvov eve`, 8 Ask †Q‡j‡g‡qi covi LiP eve` 3 Ges 10 Ask Ab¨vb¨ Kv‡R e¨q K‡ib| Aewkó UvKv e¨vs‡K Rgv K‡ib| eQi †k‡l e¨vs‡K 14400 UvKv Rgv n‡j, Zvui gvwmK Avq KZ? 10 8| 1 wgUvi mgvb 2.54 †mw›UwgUvi n‡j, 8.5 wgUv‡i KZ †mw›UwgUvi? 10 9| Avjxcyi MÖv‡gi †jvKmsL¨v 1800 Rb| H MÖv‡g 45% †jvK wkwÿZ n‡j, AwkwÿZ †jv‡Ki msL¨v KZ? 10 10| GKwU wÎfzRvKvi Rwgi f~wgi cwigvc 560 wgUvi Ges D”PZv 300 wgUvi| Gi †ÿÎdj †n±‡i cÖKvk Ki| 10 11| 87450 wgwbU‡K eQi, gvm, w`b I N›Uvq cwiYZ Ki| 10 12| 20 Rb wkÿv_©xi MwYZ wel‡q cÖvß b¤^i wb‡P †`Iqv n‡jv| DcvËmg~n web¨¯Í Ki: 10 75, 63, 75, 75, 71, 75, 63, 72, 72, 69, 72, 70, 61, 75, 60, 71, 69, 63, 65, 69| 13| (K) GKwU PZzfyR © AvuK Ges Gi †KvY PviwU †g‡c Zv‡`i cwigv‡ci †hvMdj wbY©q Ki| 4 (L) wPÎmn msÁv `vI: (†h †Kv‡bv 2wU) 32=6 AvqZ, Pvc, e¨vmva©


cÖv_wgK wkÿv mgvcYx cixÿv-2014 g‡Wj †U÷-6 welq: MwYZ mgq: 2 NÈv 30 wgwbU c~Y©gvb: 100

3|

[ Wvb cv‡ki msL¨v cÖ‡kœi c~Y©gvb ÁvcK| 1, 2, 3, 5 I 13 bs cÖkœmn †gvU `kwU cÖ‡kœi DËi w`‡Z n‡e ] 1| mwVK DËiwU DËi c‡Î †jL: 1 × 10 = 10 i. ¸Ydj ÷ ¸bK = ? (K) ¸Y¨ (L) ¸YK (M) ¸Ydj (N) fvMdj ii. 1wU Szwo‡Z a‡i 8wU Avg| 9wU Szwo‡Z KqwU Avg a‡i? (K) 7wU (L) 27wU (M) 72wU (N) 90wU iii. mvZwU msL¨vi Mo 172| 7wU msL¨vi †hvMdj KZ? (K) 179 (L) 1024 (M) 1204 (N) 1240 1 3 2 iv. 7 + 7 + 7 = KZ? 3 2 1 6 (K) 7 (L) 7 (M) 7 (N) 7 v. 1 Bw = KZ †mw›UwgUvi? (K) 254 †m.wg (L) 25.4 †m.wg. (M) 2.54 †m.wg (N) .254 †m.wg vi. 100 UvKvq 1 eQ‡i †h gybvdv nq Zvn‡jvÑ (K) kZKiv gybvdvi nvi (L) Avmj (M) gybvdv (N) fMœvsk vii. 98 wgUvi 48 †mw›UwgUvi mgvb KZ †mw›UwgUvi? (K) 9848 †m.wg. (L) 98.48 †m.wg (M) 984.8 †m.wg (N) 9.848 †m.wg viii. GwcÖj gvm mgvb KZ w`b? (K) 28 (L) 29 (M) 30 (N) 31 ix. PZz©f‚‡Ri kxl© we›`y KqwU? (K) 1wU (L) 2wU (M) 3wU (N) 4wU x. 503 × 16 = mgm¨vwU mgvavb Ki‡Z GKwU eÜ K¨vjKz‡jU‡ii Kqevi †evZvg wUc‡Z n‡e? (K) 5 evi (L) evi (M) 7 evi (N) 8 evi 2| ms‡ÿ‡c DËi `vI: 1 × 10 = 10 K) Qq A‡¼i ÿz`ªZg msL¨v I cuvP A‡¼i e„nËg msL¨vi cv_©K¨ KZ? L) 22, 46, 60, I 72 Gi Mo KZ? M) 24 Gi †gŠwjK ¸YYxqK KqwU? N) K × 5 + 10 = 60, K Gi gvb wbY©q Ki|

4| 5|

6| 7| 8| 9| 10| 11| 12| 13|

O) 5 Gi wecixZ fMœvsk KZ? P) 0.00125 ×100 = KZ? Q) 75 UvKv 5% KZ? R) 1 w`b mgvb KZ wgwbU? S) gwbUi Kx? O) e„‡Ëi †K›`ªMvgx R¨v‡K Kx e‡j? K¨vgweªqvb QvÎvev‡m 580 Rb Qv‡Îi 40 w`‡bi Lv`¨ Av‡Q| 10 w`b ci H QvÎvev‡m Av‡iv 100 Rb QvÎ Avmj| 2 × 5 = 10 K) QvÎvev‡m †gvU KZRb QvÎ n‡jv? L) 10 w`b ci Avmvq- KZ w`b evwK _v‡K? M) 1 R‡b †L‡Z PvB‡j KZ w`b jvM‡e? N) 600 R‡b †L‡Z PvB‡j KZ w`b jvM‡e? O) 15 w`‡b †L‡Z PvB‡j KZ Rb QvÎ jvM‡e? 16 Rb †jvK GKwU KvR 5 w`‡b Ki‡Z cv‡i| H KvR 20 Rb †jvK KZ w`‡b Ki‡Z cvi‡e? 10 GKwU BDwbq‡bi cuvPwU MÖv‡gi RbmsL¨v h_vµ‡g 1327, 1872, 2187, 2516 Ges 2943| 2 × 5 = 10 K) Mo wbY©‡qi m~ÎwU †jL| L) cÖ_g wZbwU MÖv‡gi †gvU RbmsL¨v KZ? M) †kl `yBwU MÖv‡gi †gvU RbmsL¨v KZ? N) cuvPwU MÖv‡gi †gvU RbmsL¨v KZ? O) cuvPwU MÖv‡gi Mo RbmsL¨v KZ? †Kvb e„nËg msL¨v Øviv 76, 114 Ges 228 †K fvM w`‡j †Kv‡bv fvM‡kl _vK‡e bv? 10 1 1 10 wgUvi j¤^v GKwU mv`v wdZvi 512 wgUvi bxj is Ges 43 wgUvi jvj is Kiv n‡jv| wdZvwUi KZ wgUvi mv`v iBj? 10 GK Kzwo wW‡gi `vg 160 UvKv| gwj ·8 Kzwo Ges iæwg ·5 Kzwo wWg wKbj| †K KqUv wWg wKbj Ges KZ UvKv `vg w`j? 10 †Kv‡bv cixÿvq 40 Rb Qv‡Îi g‡a¨ 4 Rb †dj K‡i‡Q| kZKiv KZRb QvÎ H cixÿvq cvk K‡i‡Q? 10 796 000 MÖv‡g KZ KzB›Uvj? KZ †gwUªKUb? 10 95624 wgwbU †K eQi, gvm, w`b BZ¨vw`‡Z cwiYZ Ki| 10 15 Rb kÖwg‡Ki ˆ`wbK †eZb (UvKvq) †`Iqv n‡jv| 625, 300, 325, 350, 300, 325, 325, 300, 350, 350, 325, 400, 350, 325, 325, Dcv˸‡jv web¨¯Í Ki| 10 (K) GKwU mvgvšÍwiK AvuK hvi GKwU evûi ˆ`N©¨ 4 †m.wg. Ges cv‡ki GKwU evûi ˆ`N©¨ 3 †m.wg. G‡`i wecixZ evû `yBwUi ˆ`N©¨ †g‡c D‡jøL Ki| 4 (L) wPÎmn msÁv `vI| ( †h‡Kv‡bv 2wU) 2×3=6 PZz©fzR, eM©, R¨v|


5 O) 6 Gi `yBwU mgZzj fMœvsk wjL?

cÖv_wgK wkÿv mgvcYx cixÿv-2014 g‡Wj †U÷-5 welq: MwYZ mgq: 2 NÈv 30 wgwbU c~Y©gvb: 100

3|

[ Wvb cv‡ki msL¨v cÖ‡kœi c~Y©gvb ÁvcK| 1, 2, 3, 5 I 13 bs cÖkœmn †gvU `kwU cÖ‡kœi DËi w`‡Z n‡e ] 1| mwVK DËiwU DËi c‡Î †j‡Lv| 1 × 10 = 10 i. 1wU LvZvi `vg 15 UvKv n‡j, 10 wU LvZvi `vg KZ? (K) 115 UvKv (L) 125 UvKv (M) 150 UvKv (N) 200 UvKv ii. 24 Gi ¸YbxqK KqwU? (K) 6 (L) 7 (M) 8 (N) 9 iii. eÜb cÖZxK KqwU? (K) 2wU (L) 3wU (M) 4 wU (N) 5wU iv. wb‡Pi †KvbwU AcÖK…Z fMœvsk? 2 5 2 3 (K) 5 (L) 2 (M) 2 5 (N) 5 v. 18% Gi fMœvsk †KvbwU? 9 50 18 9 (K) 50 (L) 9 (M) 50 (N) 100 vi. 1 Nb wgUvi = KZ wjUvi? (K) 100 wjUvi (L) 1000 wjUvi (M) 10000wjUvi (N) 100000 wjUvi vii. AvšÍR©vwZK ixwZ‡Z 20Uv, †`kxq ixwZ‡Z KZ? (K) mKvj 8 Uv (L) ivZ 8 Uv (M) mKvj 10 Uv (N) ivZ 10 Uv viii. 7 Gi U¨vwj wPý †KvbwU? (K) ||||||| (L) |||| || (M) || |||| (N) |||| ix. †h mvgvšÍwi‡Ki GKwU †KvY mg‡KvY Zv‡K Kx e‡j? (K) eM© (L) i¤^m (M) AvqZ (N) mvgvšÍwiK x. wb‡Pi †KvbwU BbcyU wWfvBm? (K) gvDm (L) wcÖ›Uvi (M) gwbUi (N) ¯úxKvi 2| ms‡ÿ‡c DËi `vI: 1 × 10 = 10 K) wbt‡k‡l wefv‡R¨i †ÿ‡Î fvRK wbY©‡qi m~ÎwU wjL| L) GKB cwigvY Lv`¨ LvIqvi Rb¨ w`‡bi msL¨v evo‡j QvÎ msL¨v wK n‡e? M) K ÷ 8 = 3 n‡j, K Gi gvb KZ? N) 36 Gi cÖK…Z ¸YbxqK KqwU?

4| 5|

6| 7|

8| 9| 10| 11| 12| 13|

P) 0.01 × 0.001 × 0.0001 = KZ? Q) 50% †K mvaviY fMœvs‡k cÖKvk Ki? R) IRb cwigv‡ci g~j GKK Kx? S) wÎf‚R †ÿ‡Îi †ÿÎdj wbY©‡qi m~ÎwU wjL? T) e¨vm e„ËwU‡K mgvb KqwU fv‡M fvM Kiv hvq? GKwU QvÎvev‡m 40 Rb Qv‡Îi 20 w`‡bi Lv`¨ Av‡Q| 5 w`b ci Av‡iv 10 Rb QvÎ Avm‡jv| 2 × 5 = 10 K) QvÎ msL¨v evo‡j w`‡bi msL¨v Kx n‡e? L) QvÎvev‡m †gvU QvÎ msL¨v KZ n‡e? M) KZ w`b iBj? N) H Lv`¨ 1 Rb QvÎ †L‡Z PvB‡i KZ w`b jvM‡e? O) H Lv`¨ 1 Rb QvÎ †L‡Z PvB‡j KZ w`b jvM‡e? GKwU cyKzi Lbb Ki‡Z 200 Rb †jv‡Ki 15 w`b jv‡M| cyKziwU 10 w`‡b Lbb Ki‡Z PvB‡j AwZwi³ KZRb wb‡qvM Kiv cÖ‡qvRb? 10 GMv‡ivwU msL¨vi g‡a¨ cÖ_g QqwU msL¨v Mo 87 Ges †k‡l cuvPwU msL¨vi Mo 131| 2× 5 = 10 K) Mo wbY©‡qi m~Î †jL| L) cÖ_g 6wU msL¨vi †hvMdj KZ? M) †k‡li 5wU msL¨vi †hvMdj KZ? N) me¸‡jv msL¨vi Mo KZ? O) cÖ_g 6wU I †kl 5wU msL¨vi †hvMd‡ji cv_©K¨ wbY©q Ki| 60wU Avg I 150wU wjPz me©vwaK KZRb evjK evwjKvi g‡a¨ wbt‡k‡l fvM K‡i †`Iqv hv‡e? cÖ‡Z¨KwU KqwU Avg I KqwU wjPz cv‡e? 10 1 1 b‡Mb evey Zuvi m¤úwËi 8 Ask wb‡R †i‡L 8 Ask ¯¿x‡K w`‡jb| Aewkó m¤úwË Pvi cy‡Îi g‡a¨ mgvb fv‡e fvM K‡i †`Iqvi cÖ‡Z¨K cyÎ 15000 UvKvi m¤úwË †cj| †gvU m¤úwËi g~j¨ KZ? 10 GK wjUvi `y‡ai `vg 45.75 UvKv| gvgxg 2 wjUvi `ya wK‡b `yaIqvjv‡K 100 UvKv w`j| kvgxg KZ UvKv †diZ cv‡e? 10 weivgcyi MÖv‡g †jvKmsL¨v 5% e„w× †c‡q 2100 Rb n‡jv| c~‡e© H MÖv‡gi †jvKmsL¨v KZRb wQj? 10 AvqZvKvi †ÿθ‡jvi ˆ`N©¨ 54 wgUvi I cÖ¯’ 47 wgUvi †ÿÎdj wbY©q Ki | 10 84648 †m‡K‡Û KZ NÈv, wgwbU I †m‡KÛ? 10 wb‡Pi 20wU †`vKv‡bi ˆ`wbK weµq Z_¨ (UvKvq) †`Iqv n‡jv| Dcv˸‡jv web¨¯Í Ki| 10 125, 200 170, 225, 325, 270, 180, 210. 300, 315, 390, 250, 260, 220, 375, 315, 220, 250, 270| (K) GKwU e„Ë Gu‡K wewfbœ Ask wPwýZ Ki| 4 (L) m½vmn wPÎ AsKb Ki: ( †h †Kv‡bv 2wU) 2×3=6 i¤^m, e„Ë, e¨vm|


7| wgRvb mv‡n‡ei m¤úwËi

3 As‡ki 20

cÖv_wgK wkÿv mgvcbx cixÿv-2014

g~j¨ 60,000 UvKv| H m¤úwËi

As‡ki g~j¨ KZ? 8| Dwg© I †gŠwg h_vµ‡g GK Szwo wjPzi ·5 Ask I ·4 Ask K‡i wbj| cÖ‡Z¨‡K KqwU K‡i wjPz †cj? 9| GK e¨vw³ 6% ÿwZ‡Z GKwU Lvwm weµq Kij| LvwmwUi weµqg~j¨ 3196 UvKv n‡j, µqg~j¨ KZ? 10| 97865 wK‡jvMÖvg KZ †gwUªKUb? 11| 35624 wgwbU‡K eQi, gvm I w`‡b cwiYZ Ki| 12| 20 Rb kÖwg‡Ki IRb (†KwR) †`qv n‡jv: 60, 52, 54, 50, 52, 54, 56, 58, 60, 60, 50, 54, 56, 58, 60, 50, 60, 60, 58, 54| Dcv˸‡jv web¨¯Í Ki| 13| (K) GKwU mvgšÍwiK AvuvK, hvi GKwU evûi ˆ`N©¨ 4 †m.wg. Ges cv‡ki GKwU evûi ˆ`N©¨ 3 †m.wg.| cÖ‡Z¨K †Rvov wecixZ †Kv‡Yi cwigvc wbY©q Ki| (L) wPÎmn msÁv `vI: (†h †Kvb 2wU) AvqZ, i¤^m, e„Ë

g‡Wj †U÷ -7 welq: MwYZ mgq: 2 N›Uv 30 wgwbU c~Y©gvb: 100 [1, 2, 3, 5, 13 bs cÖkœ mn ‡gvU `kwU cÖ‡kœi DËi w`‡Z n‡e] [ Wvb cv‡ki msL¨v cÖ‡kœi c~Y©gvb ÁvcK| 1, 2, 3, 5 I 13 bs cÖkœmn †gvU `kwU cÖ‡kœi DËi w`‡Z n‡e ]

1| mwVK DËiwU DËic‡Î †jL: (K) ¸Y¨ I ¸Y‡Ki ¯’vb cwieZ©b n‡j, ¸Yd‡ji gvb KZ n‡e? (i) GKB n‡e (ii) mgvb n‡e (iii) 1 n‡e (iv) ¸‡Yi gvb †ewk n‡e (L) 3wU Szwo‡Z 48wU Avg a‡i| 1wU Szwo‡Z a‡i(i) 120wU (ii) 16wU (iii) 20wU (iv) 144wU (M) 23, 37, 47 I 31 Gi Mo KZ? (i) 48 (ii) 72 (iii) 42 (iv) ‡KvbwUB bq (N)

9 11

Gi je †KvbwU?

(i) 48 (iii) 42 (O) 1 wgUvi=KZ BwÂ?

(ii) 72 (iv) ‡KvbwUB bq


(i) 39.37 (iii) 9.037

(ii) 40.37 (iv) 38.37

(P) Avmj UvKvi AwZwi³ †h UvKv e¨vsK cÖ`vb K‡i, Zv n‡jv(i) Avmj (ii) gybvdv (iii) gybvdvi nvi (iv) mgq (Q) 29 wK. wg. 80 wgUvi mgvb KZ wgUvi? (i) 29800 (ii) 2980 (iii) 2900 (iv) 29080 (R) RyjvB gvm KZ w`b? (i) 28 w`b (ii) 29 w`b (iii) 30 w`b (iv) 31 w`b (S) PZzf©y‡Ri †KŠwYK we›`y KqwU? (i) 3wU (ii) 4wU (iii) 1wU (iv) 6wU (T) 560-237= , GB mgm¨vwU mgvavb Ki‡Z n‡j, GKwU mPj K¨vjKz‡jU‡ii KqwU †evZvg wUc‡Z n‡e? (i) 9wU (ii) 8wU (iii) 12wU (iv) 6wU 2| ms‡ÿ‡c DËi `vIt (K) 50-(16+12)=KZ? (L) 23, 37, 47, 61 Gi Mo KZ? (M) 24 Gi ¸YwbqK¸‡jv †jL| (N) (K+10)×5=100, GLv‡b K Gi gvb KZ?

(O)

5 Gi 10

wecixZ fMœvsk KZ?

(P) 11×0.11×1.1=KZ? (Q)

4 15

‡K kZKivq cÖKvk Ki|

(R) KZ eQi mgqKvj mgvb GK hyM? (S) K¨vjKz‡jUi mPj Ki‡Z †Kvb †evZvgwU wUc‡Z n‡e? (T) e„‡Ëi e¨vm e„ˇK KqwU Aa©e„‡Ë wef³ K‡i? 3| GK e¨w³i ˆ`wbK Avq 375 UvKv| (K) 1 mßv‡n KZ w`b? (L) 1 mßv‡n Zvi Avq KZ? (M) 1 gv‡m Zvi Avq KZ? (N) 1500 UvKv Avq Ki‡Z Zvi KZ w`b jvM‡e? (O) Zvi gvwmK Avq I ˆ`wbK Av‡qi cv_©K¨ KZ? 4| 8 Rb †jvK 21 w`‡b †Kvb Rwgi dmj KvU‡Z cv‡i| 14 R‡b KZ w`‡b G Rwgi dmj KvU‡Z cvi‡e? 5| evwl©K cixÿvq 10 Rb QvÎQvÎxi MwY‡Zi b¤^i wb¤œiæc: 76, 61, 87, 56, 42, 64, 73, 68, 50, 73 (K) †hvMdj wbY©‡qi m~ÎwU wjL| (L) cÖ_g cuvPR‡bi †gvU b¤^i KZ? (M) †kl cuvPR‡bi †gvU b¤^i KZ? (N) `k R‡bi Mo b¤^i KZ? (O) cÖ_g cuvP Rb I †kl cuvPR‡bi †gvU b¤^‡ii cv_©K¨ KZ?


6| 60wU Avg I 150 wU wjPz me©vwaK KZRb evjK evwjKvi g‡a¨ wbt‡k‡l fvM K‡i †`Iqv hv‡e? cÖ‡Z¨‡K KqwU Avg I KqwU wjPz cv‡e?


9| gvndzRv e¨vs‡K 900 UvKv Rgv †i‡L 3 eQ‡i 81 UvKv gybvdv †cj| kZKiv evwl©K gybvdvi nvi KZ? 10 10| GKwU wÎfzRvKvi †ÿ‡Îi f~wgi cwigvc 56 wgUvi I D”PZv 24 wgUvi| †ÿÎdj KZ? 11| 5 gvm 4 w`b‡K †m‡K‡Û cwiYZ Ki| 10 12| cÂMo †Rjvi †jvKmsL¨v 9 jÿ 81 nvRvi Ges Gwiqv 1405 eM© wK‡jvwgUvi| H †Rjvi RbmsL¨vi NbZ¡ KZ? 10 13| (K) 4 †m wg e¨vmv‡a©i GKwU e„Ë AvuK Gi wewfbœ Ask wPwýZ Ki| (L) wPÎmn msÁv †jL (†h‡Kvb 2wU)

AvqZ Pvc e¨vmva©

2×3

cÖv_wgK wkÿv mgvcbx cixÿv-2014 g‡Wj †U÷ -9 welq: MwYZ mgq: 2 N›Uv 30 wgwbU c~Y©gvb 100 [1, 2, 3, 5, 13 bs cÖkœ mn ‡gvU `kwU cÖ‡kœi DËi w`‡Z n‡e] 1| mwVK DËiwU DËic‡Î †jL: (K) wZb A‡¼i ÿz`ªZg msL¨vi mv‡_ 1 †hvM Ki‡j †hvMdj KZ n‡e? (i) 101 (ii) 901 (iii) 1001 (iv) 99 (L) 1 ixg mgvb KZ Zv? (i) 300 (ii) 200 (iii) 500 (iv) 1200 (M) m¤úK© cÖZxK KqwU? (i) 7wU (ii) 6wU (iii) 3wU (iv) 12wU (N)

85 4 9 9

LvwjN‡i mwVK msL¨vwU n‡e-

(i) 6 (iii) 85 (O) kZKiv GKwU fMœvsk hvi ni(i) 100 (iii) 1000

(ii) 9 (iv) 13 (ii) 99 (iv) ‡KvbwUB bq


(P) 1 †n±i=KZ eM©wgUvi? (i) 100 (ii) 1000 (iii) 10,000 (iv) 1 (Q) 1996 mv‡ji †deªæqvwi gvm KZ w`‡bi nq? (i) 28 w`b (ii) 31 w`b (iii) 29 w`b (iv) 30 w`b (R) K L GB PZzf©~RwU‡Z <KMN Gi gvb KZ? M N (i) 120º (ii) 90º (iii) 360º (iv) 180º (S) 360º †Kv‡Y KqwU mg‡KvY Av‡Q? (i) 2 mg‡KvY (ii) 3 mg‡KvY (iii) 4 mg‡KvY (iv) 1 mg‡KvY (T) e¨vm e¨vmv‡a©i KZ ¸Y? (i) 1 ¸Y (ii) 2 ¸Y (iii) A‡a©K (iv) 3 ¸Y 2| ms‡ÿ‡c DËi `vI (K) wbt‡k‡l wefv‡R¨i †ÿ‡Î fvRK wbY©‡qi m~ÎwU Kx? (L) 1wU Szwo‡Z 8wU Avg ai‡j, 9wU Szwo‡Z KqwU ai‡e? (M) 9 Gi cÖ_g cuvPwU ¸wYZK †jL| (N) `yB nvRvi wZbk cuPvËi †_‡K GK nvRvi cuvPk cuwPk we‡qvM K‡i we‡qvMdj‡K GKk wÎk I AvUvˇii †hvMdj w`‡q ¸Y Ki‡j KZ nq? (O) gybvdv wbY©‡qi m~ÎwU Kx? (P) 1 NbwgUvi mgvb KZ wjUvi? (Q) †Kvb ixwZ‡Z mKvj, `ycyi, mܨv aiv nq bv?

(R) †jLwPÎ Kx? (S) 25 1 †K AcÖK…Z fMœvs‡k cwiYZ Ki| 3

(T) K

L GB wP‡Î KL ‡iLvskwUi bvg Kx?

3| GKwU we`¨vj‡q 786 Rb wkÿv_©x wQj| eQ‡ii cÖ_‡g 142 Rb wkÿv_©x fwZ© n‡jv| (K) 1 eQi mgvb KZ gvm? (L) eZ©gv‡b wkÿv_©xi msL¨v KZ? (M) 200 Rb P‡j †M‡j KZRb wkÿv_©x _vK‡e? (N) eQ‡ii RyjvB gv‡m 60 Rb fwZ© n‡j †gvU wkÿv_©x msL¨v KZ n‡e? (O) †gvU wkÿv_©xi g‡a¨ 685 Rb QvÎ n‡j QvÎx msL¨v KZ? 4| †Kvb fvM A‡¼ fvRK fvM‡k‡li 12 ¸Y Ges fvR¨ 9896| fvM‡kl 8 n‡j fvMdj KZ? 5| wjwj wewfbœ `v‡gi AvUwU wdZv wKb‡jv| wdZv¸‡jvi Mo g~j¨ 5 UvKv 75 cqmv| (K) 5 UvKv 75 cqmv mgvb KZ cqmv? (L) AvUwU wdZvi †gvU g~j¨ KZ? (M) PviwU wdZvi †gvU g~j¨ KZ? (N) AvUwU wdZv I PviwU wdZvi †gvU g~‡j¨i cv_©K¨ KZ? (O) AvUwU wdZvi Mo g~j¨ hw` 6 UvKv nq Zvn‡j †gvU g~j¨ KZ n‡e? 6| †Kvb ÿz`ªZg msL¨v 18,24,30,36 Øviv 10 wbt‡k‡l wefvR¨? 7| GKwU euv‡ki

1 5

Ask Kv`vq,

2 5

Ask cvwb‡Z, Ges evwK Ask cvwbi Dc‡i

Av‡Q| cvwbi Dc‡i KZ Ask Av‡Q?


8| GKwU Mvwo N›Uvq 46.8 wK‡jvwgUvi hvq| MvwowUi 257.4 wK‡jvwgUvi †h‡Z KZ mgq jvM‡e?


7| kgy mg¯Í w`‡bi K‡i,

1 Ask 3

1 Ask 4

cÖv_wgK wkÿv mgvcbx cixÿv-2014

mgq ¯‹z‡j covïbv K‡i, 1 Ak mgq †Ljvayjv 2

mgq evwo‡Z covïbv K‡i, Ges evKx mgq †m wekÖvg I Ab¨vb¨

Kv‡R KvUvq| †m w`‡bi KZ Ask †Ljv I covïbv K‡i? 8| GKwU †gvevBj †dvb †_‡K 3 wgwbU K_v ejvq 2.04 UvKv LiP n‡jv| H †dvb †_‡K cÖwZ wgwb‡U K_v ejvi LiP KZ? 9| evwl©K gybvdvi nvi 5 UvKv n‡j 900 UvKvi 3 eQ‡ii gybvdv KZ n‡e? 10| 1wU wÎf~RvKvi Rwgi †ÿÎdj 17,088 eM©wgUvi, f~wgi cwigvc 200wgUvi n‡j D”PZv KZ? 11| AvšÍR©vwZK ixwZ Abyhvqx evsjv‡`k wegvb 20 Uvi mgq KjKvZvq iIbv †`q| mܨv KqUvi mgq wegvb iIbv †`q? 12| evwl©K cixÿvq 6 Rb wkÿv_©x MwYZ wel‡q wb¤œiƒc b¤^i †c‡q‡Q| G DcvË †_‡K ¯Í¤¢ †jL AvuK| wkÿv_©x mygb wgwg Igi ¯^cœxj Zvwbqv iZb cÖvß b¤^i 80 90 80 100 75 85 13| (K) GKwU PZzf©~R AvuK| Gi evû PviwU Ges KY© `yBwUi ˆ`N©¨ †g‡c LvZvq †jL| (L) wPÎmn msÁv †jL: (†h‡Kvb 2wU) i¤^m, e„Ë, Pvc

g‡Wj †U÷ -9 welq: MwYZ mgq: 2 N›Uv 30 wgwbU c~Y©gvb: 100 [1, 2, 3, 5 I 13 bs cÖkœ mn ‡gvU `kwU cÖ‡kœi DËi w`‡Z n‡e] 1| mwVK DËiwU DËic‡Î †jL: 1×10=100 (i) 567×100= 56700 GLv‡b ¸Y¨ †KvbwU? (K) 567 (L) 100 (M) 56700 (N) 5670 (ii) 9wU eB‡qi `vg 216 UvKv n‡j 1wU eB‡qi `vg KZ? (K) 14 UvKv (L) 24 UvKv (M) 34 UvKv (N) 44 UvKv (iii) 4wU msL¨vi Mo 50 n‡j, G‡`i mgwó KZ? (K) 54 (L) 100 (M) 150 (N) 200 (iv) 24, 36 I 40 Gi j.mv.¸. KZ? (K) 360 (L) 260 (M) 160 (N) 100 7 Gi 15 (K) 7 15 (M) 2 1 7

(v)

wecixZ fMœvsk †KvbwU? (L) (N)

15 7 1 7


(vi)

13 25

‡K kZKivq cÖKvk Ki|

(K) 25% (L) 52% (M) 72% (N) 100 (vii) 54 wK‡jvwgUvi=KZ wgUvi? (K) 54 wgUvi (L) 540 wgUvi (M) 5400 wgUvi (N) 54000 wgUvi (viii) Awae‡l© 1 eQi=KZ w`b? (K) 364 w`b (L) 365 w`b (M) 366 w`b (N) 367 w`b (ix) wPÎwUi bvg Kx? (K) eM© (L) i¤^m (M) AvqZ (N) mvgvšÍwiK (x) Pvj©m e¨v‡eR †K wK‡mi RbK ejv nq? (K) K¨vjKz‡jUi (L) †Uwjwfkb (M) wi‡gvU (N) Kw¤úDUvi 2| ms‡ÿ‡c DËi `vI: (K) ¸Ydj wbY©‡qi m~ÎwU wjL| (L) 1 WRb Kjvi `vg 30 UvKv n‡j 3 WRb Kjvi `vg KZ? (M) ¸bbxq‡Ki Aci bvg Kx? (N) †Kvb msL¨vi mv‡_ 8 †hvM Ki‡j †hvMdj †_‡K 7 we‡qvM Ki‡j we‡qvMdj 33 nq| (O) ni GKB n‡j †Kvb fMœvskwU eo? (P) ÿwZ wK‡mi Dci wnmve Kiv nq? (Q) 1 †n±i mgvb KZ eM©wgUvi? (R) 1201 mvj †_‡K 1300 mvj ch©šÍ †Kvb kZvãx?

(S) Aweb¨¯Í DcvË Kx? K

N

(T)

wPÎwU‡Z KM I LN †iLvsk `yBwUi bvg Kx? L

M

3| 6, 8,9, 5,0 I 4 KZ¸‡jv AsK| (K) Qq As‡Ki e„nËg msL¨v †jL| (L) cÖ`Ë AsK¸‡jv GKevi e¨envi K‡i Qq As‡Ki e„nËg msL¨v †jL| (M) cÖ`Ë AsK¸‡jv GKevi e¨envi K‡i Qq As‡Ki ÿz`ªZg msL¨v †jL| (N) cÖ`Ë AsK¸‡jv wb‡q MwVZ Qq As‡Ki e„nËg msL¨v I ÿz`ªZg msL¨vi cv_©K¨ KZ? (O) Qq As‡Ki e„nËg msL¨v I ÿz`ªZg msL¨vi cv_©K¨ KZ? 4| ivRy I iwbi GK‡Î 690 wU wjPz Av‡Q| ivRy A‡cÿv iwbi 86 wU Kg Av‡Q| ivRy I iwbi wjPzi cwigvY KZ? 5| GKwU †Uó wµ‡KU †Ljvq mdiKvix `‡ji QqRb e¨vUmg¨v‡bi iv‡bi Mo 76| PviRb †evjv‡ii iv‡bi Mo 21| (K) Mo wbY©‡qi m~ÎwU wjL| (L) QqRb e¨vUmg¨v‡bi †gvU ivb KZ? (M) PviRb ‡evjv‡ii ‡gvU ivb KZ? (N) me¸‡jv †L‡jvqv‡oi †gvU ivb KZ? (O) me¸‡jv †L‡jvqv‡oi cÖ‡Z¨‡Ki Mo ivb KZ? 6| Ggb GKwU ÿz`ªZg msL¨v wbY©q Ki, hv‡K 6, 10,15 I 21 Øviv fvM w`‡j cÖwZ‡ÿ‡Î 4 Aewkó _v‡K|


6| †Kvb e„nËg msL¨v Øviv 137, 212 I 452 †K fvM w`‡j cÖwZ †ÿ‡Î 22 Aewkó _v‡K? 10 7| nvwbd mv‡ne Zuvi m¤úwË ¯¿x, GK †Q‡j I `yB †g‡qi g‡a¨ fvM K‡i w`‡j †Q‡j

3 Ask 8

Ges cÖ‡Z¨K †g‡q

2 Ask 8

K‡i †c‡j ¯¿x KZ Ask †c‡jb? 10

8| 1 Bw mgvb 2.54 †mw›UwgUvi n‡j, 8.5 Bw‡Z KZ †mw›UwgUvi? 10 9| 800 UvKvi Av‡cj 4% ÿwZ‡Z weµq Kiv n‡jv| G‡Z †gvU KZ UvKv ÿwZ n‡jv? 10 10| 9876000 MÖv‡g KZ KzB›Uvj? KZ †gwUªKUb? 10 11| 6 gvm 4 w`b‡K †m‡KÛ cwiYZ Ki| 10 12| 25 Rb wkÿv_©xi evsjv wel‡q cÖvß b¤^i †`Iqv n‡jv: 75,68,74,66,80,65,75,67,86,75,68,82,88,84,72,66,85,73,76, 78,67,79,86,82,84 10 13| (K) 3 †m.wg. e¨mv‡a©i GKwU e„Ë AvuK Ges Gi wewfbœ Ask wPwýZ Ki| (L) wPÎmn msÁv wjL: (†h‡Kvb 2wU) mvgšÍwiK, e„‡Ëi †K›`ª, e¨vm

cÖv_wgK wkÿv mgvcbx cixÿv-2014 g‡Wj †U÷ -10 welq: MwYZ mgq: 2 N›Uv 30 wgwbU c~Y©gvb: 100 [1, 2, 3, 5, 13 bs cÖkœ mn ‡gvU `kwU cÖ‡kœi DËi w`‡Z n‡e] 1| mwVK DËiwU DËic‡Î †jL: 1×10=10 (i) Pvi A‡¼i e„nËg msL¨vi c‡ii msL¨v †KvbwU? (K) 100 (L) 1000 (M) 10000 (N) 100000 (ii) jveb¨ I AvR‡gixi Mo eqm 27 eQi n‡j, Zv‡`i †gvU eqm KZ? (K) 27 eQi (L) 54 eQi (M) 64 eQi (N) 74 eQi (iii) 36 Gi †gŠwjK ¸YbxXK KqwU? (K) 2 (L) 3 (M) 4 (N) 5 (iv) wgkÖ fMœvs‡ki c~Y© Ask‡K Kx cov nq? (K) Gi (L) mg¯Í (M) evB (N) ni (v) ¸Y †hv‡Mi Kx ? (K) mswÿß iƒc (L) e„nr iƒc (M) wjwLZ iƒc (N) cwVZ iƒc


(vi) GKwU Kj‡gi µqg~j¨ 80 UvKv, 60 UvKvq weµq Ki‡j KZ UvKv ÿwZ n‡e? (K) 10 UvKv (L) 20 UvKv (M) 30 UvKv (N) 40 UvKv (vii) 87 wK‡jvwgUvi= KZ wgUvi? (K) 87 wgUvi (L) 870 wgUvi (M) 8700 wgUvi (N) 87000 wgUvi (viii) avivevwnK 100 eQ‡ii mgqKvj‡K Kx e‡j? (K) 1 `kK (L) 1 hyM (M) 1 kZvãx (N) 1 gvm (ix) 4 Gi U¨vwj wPý †KvbwU? (K) (L) (M) (N) (x) e„‡Ëi †K›`ªMvgx R¨v †K Kx e‡j? (K) Pvc (L) e¨vm (M) e¨vmva© (N) †K›`ª 2| ms‡ÿ‡c DËi `vI: 1×10=10 (K) 6,8,9,5,0,4 AsK¸‡jv cÖ‡Z¨KwU GKevi e¨envi K‡i Qq As‡Ki e„nËg msL¨v wjL| (L) 10,12,11,13,14 Gi Mo KZ? (M) 24 Gi cÖK…Z ¸bbxqK¸‡jv wjL| (N) 15 × 3 Ñ K = 30, GLv‡b K Gi gvb KZ?

(O)

5 8

fv‡Mi wecixZ fMœvsk wjL|

(P) 0.05+0.50+0.10=KZ? (Q) 80% †K mvaviY fMœvs‡k cÖKvk Ki| (R) 1 w`b mgvb KZ †m‡KÛ? (S) 17+9= GB mgvavb Ki, eÜ K¨vjKz‡jUiwUi Kqevi †evZvg wUc‡Z n‡e? (T) GB wPÎwUi PviwU †Kv‡Yi mgwó KZ? 3| 2wU gwnl I 3wU QvM‡ji g~j¨ GK‡Î 25080 UvKv| 1wU QvM‡ji g~j¨ 3560 UvKv| × =10 (K) 3wU QvM‡ji g~j¨ KZ? (L) 2wU gwn‡li g~j¨ KZ? (M) 1wU gwn‡li g~j¨ KZ? (N) 1wU QvMj I 1wU gwn‡li g~j¨ cv_©K¨ KZ? (O) 1wU QvMj I 1wU gwn‡li †gvU g~j¨ †ei Ki| 4| gxbvi wbKU 45987 UvKv Av‡Q| ivRyi wbKU gxbv A‡cÿv 8250 UvKv Kg Av‡Q| iwbi wbKU ivRy A‡cÿv 985 UvKv †ewk Av‡Q| wZbR‡bi †gvU KZ UvKv Av‡Q? 5| wZb mšÍvb I Zv‡`i wcZvi Mo eqm 17 eQi| H wZb mšÍvb I Zv‡`i gvZvi Mo eqm 15 eQi| H wZb mšÍvb I Zv‡`i gvZvi Mo eqm 15 eQi| gvZvi eqm 30 eQi| × =10 (K) Mo wbY©‡qi m~Î wjL| (L) wZb mšÍvb I gvZvi †gvU eqm KZ? (M) wZb mšÍv‡bi eqm KZ? (N) wZb mšÍvb I wcZvi †gvU eqm KZ?


(O) wcZvi eqm KZ?


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