Special Math Suggestion For JSC Exam 2012

Special Math Suggestion For JSC Exam 2012

Abykxjbx 01

1| †hvM Ki : 12. (জ)

2| we‡qvM Ki : ১৩। (গ)

3| eM©g~j wbY©q Ki : K) 13 (গ) (ঙ) (ঞ)

4| mij Ki : 8 (M), 18 (M, N), D`v: 33

Abykxjbx 2.1

1| cwc‡K g~j †eZ‡bi evwo fvov w`‡Z nq| evwo fvov KvUvi ci †m cÖwZgv‡m 3700 UvKv cvq| Zvi gvwmK g~j †eZb KZ?

2| gCbDwÏb mv‡ne Zvi m¤ú‡`i 12% ¯¿x‡K, 20% †Q‡j‡K Ges Aewkó 8,16,000 UvKv †g‡q‡K w`‡jb| Zvi mgy`q m¤ú` KZ wQj?

3| GKwU ¯‹z‡ji gva¨wgK cix¶v_©x‡`i 68% DËxY© nj| hw` AviI 14 Rb †ewk cvk KiZ, Zvn‡j cv‡ki nvi 75% nZ| cix¶v_©x‡`i msL¨v KZ?

4| GKwU ¯‹z‡ji QvÎQvÎxi msL¨v 900| 4% QvÎ P‡j †Mj, Avi 5% bZzb QvÎx bZzb fwZ© nj| d‡j QvÎQvÎxi †gvU msL¨vi †Kvb cwieZ©b nj bv| H ¯‹z‡j c~‡e© KZRb QvÎx wQj Ges eZ©gv‡b KZRb QvÎ Av‡Q?

5| GKwU wbe©vPbx GjvKvq †gvU †fvUv‡ii 75% Dcw¯’Z wQj| `yBRb cÖv_©xi GKRb Dcw¯’Z †fvUvi‡`i 55% †fvU cvIqvq †`Lv †Mj †h Aci cÖv_©x A‡c¶v 75000 †fvU ‡ewk ‡c‡q‡Qb| †fvUvi‡`i †gvU msL¨v KZ wQj?

6| Kjvi `vg K‡g hvIqvq 75 UvKvq Av‡Mi †P‡q 5wU Kjv †ewk cvIqv †Mj| cÖwZ WRb Kjvi eZ©gvb `vg KZ?

7| wPwbi g~j¨ kZKiv 10 UvKv †e‡o †M‡j, wPwbi e¨envi kZKiv wK cwigvY Kgv‡j GKwU cwiev‡ii wPwbi Rb¨ Li‡Pi †Kvb cwieZ©b n‡e bv?

8| Pv cvZvi Dci Ki kZKiv 10 UvKv Kgv‡j, Pv cvZvi e¨envi kZKiv KZ e„w× n‡j, miKvi Pv cvZv †_‡K kZKiv 8 UvKv †ewk Ki cv‡e?

9| ‡Kvb cix¶vq evsjvq 60% Ges MwY‡Z 50% cix¶v_©x K…ZKvh© n‡q‡Q| hw` Dfq wel‡q 40% cix¶v_©x K…ZKvh© n‡q _v‡K Ges Dfq wel‡q †gvU 60 Rb †dj K‡i _v‡K Z‡e †gvU cix¶v_©xi msL¨v KZ?

10| ‡Kvb cix¶vq evsjvq 80% I MwY‡Z 60% Ges Dfq wel‡q †gvU 160 Rb cix¶v_©x K…ZKvh© nq| hw` Dfq wel‡q †KD AK…ZKvh© bv n‡q _v‡K, Z‡e †gvU cix¶v_©xi msL¨v KZ?

Abykxjbx 2.2

1| †h nv‡i 450 UvKvi 4 eQ‡i my‡` Avm‡j 504 UvKv nq, †mB nvi my‡` KZ UvKv 5 eQ‡i my‡`-Avm‡j 575.00 UvKv nq?

2| Iqvwj` 3 eQ‡ii Rb¨ 400 UvKv Ges 5 eQ‡ii Rb¨ 600 UvKv KR© K‡i †gvU 168 UvKv my` w`j| Dfq‡¶‡Î my‡`i nvi mgvb n‡j, my‡`i nvi KZ wQj?

3| kZKiv evwl©K 8 UvKv nvi my‡` 5 eQ‡i 1050 UvKvi †h my` cvIqv hvq, kZKiv evwl©K 10 UvKv nvi my‡` KZ eQ‡i 700 UvKvi †mB cwigvY my` cvIqv hv‡e?

4| kZKiv evwl©K 5 UvKv nvi my‡` 6 eQ‡ii †Kvb Avm‡ji my` Avmj 442 UvKv nq? KZ eQ‡i Zvi my`-Avmj 510 UvKv n‡e?

5| ‡Kvb Avmj 5 eQ‡i my‡` Avm‡j 550 UvKv nq Ges my` Avm‡ji Ask| Avmj I kZKiv evwl©K my‡`i nvi KZ?

6| ‡Kvb wbw`©ó mg‡qi my` Avmj 450 UvKv Ges my` Avm‡ji Ask| my‡`i nvi kZKiv evwl©K UvKv n‡j, mgq wbY©q Ki|

7| kZKiv 6 UvKv nvi my‡` 500 UvKvi 4 eQ‡ii my` hZ nq, kZKiv 5 UvKv nvi my‡` KZ UvKv eQ‡i my` ZZ n‡e?

8| ‡Kvb Avmj 3 eQ‡i my‡` Avm‡j 1452 UvKv Ges 5 eQ‡i my‡`-Avm‡j 1620 UvKv nq, Avmj I my‡`i nvi †ei Ki|

9| kZKiv evwl©K †h nv‡i †Kvb g~jab 6 eQ‡i my`-g~‡j wØ¸Y nq, †mB nv‡i KZ UvKv 4 eQ‡i my‡`-g~‡j 2050 UvKv n‡e?

10| ‡Kvb Avmj 3 eQ‡i my‡`-Avm‡j 560 UvKv nq Ges 5 eQ‡i my‡`-Avm‡j 600 UvKv nq| my‡`i nvi KZ?

Abykxjbx 2.3

1| 5 UvKvq 8Uv `‡i Kjv wewµ Kivq 25% ¶wZ nj| cÖwZ WRb Kjv wK `‡i µq K‡iwQj?

2| GKwU `ªe¨ 378 UvKvq weµq Ki‡j hZ ¶wZ nq, 450 UvKvq weµq Ki‡j Zvi wZb¸Y jvf nq| `ªe¨wUi µqg~j¨ KZ?

3| GKwU Kjg weµq Kivq 20% †jvKmvb nj, KjgwU AviI 67.50 UvKv †ewk g~‡j¨ weµq Ki‡Z cvi‡j 10% jvf nZ| KjgwUi µqg~j¨ KZ?

4| GKRb dj we‡µZvi 5% dj c‡P †Mj Ges AviI 5% dj cwien‡bi mgq bó nj| evwK dj kZKiv KZ jv‡f weµq Ki‡j †gv‡Ui Dci Zvi 20% jvf n‡e?

5| GKwU kvU© I GKwU c¨v‡›Ui g~j¨ 525.00 UvKv| hw` kv‡U©i g~j¨ 5% e„w× cvq Ges c¨v‡›Ui g~j¨ 10% e„w× cvq Zvn‡j H¸‡jv wKb‡Z 568.75 UvKv jv‡M| kvU© I c¨v›U cÖ‡Z¨KwUi g~j¨ KZ?

6| ‡Nvov I Mi“i µqg~j¨ 10,000 UvKv| †NvovwU 20% jv‡f Ges Mi“wU 15% ¶wZ‡Z weµq Kivq †gvU 6% jvf nq| †Nvov I Mi“i g~j¨ KZ?

7| 1 UvKvq 15wU I 20wU `‡i mgvb msL¨K AvgjwK Lwi` K‡i 1 UvKvq 18wU `‡i weµq Ki‡j kZKiv KZ jvf ev ¶wZ n‡e?

8| eveyj cÖwZ WRb wWg 24 UvKv `‡i 20 WRb Ges 32 UvKv `‡i 12 WRb Lwi` K‡i| cÖwZ WRb wWg wK `‡i weµq Ki‡j M‡o Zvi WRb cÖwZ 6 UvKv jvf n‡e?

9| Kvgvj cÖwZwU wWg 3 UvKv wn‡m‡e 100wU wWg Ges 3.25 UvKv wn‡m‡e 400wU wWg Lwi` K‡i| Zvi 5% nv‡i jvf †c‡Z n‡j wK `v‡g cÖwZwU wWg weµq Ki‡Z n‡e?

10| ‡Kvb wRwbm Drcv`bKvix 20%, cvBKvix we‡µZv 20% Ges LyPiv we‡µZv 20% jv‡f weµq K‡i| hw` H wRwb‡mi LyPiv g~j¨ 21.60 UvKv nq, Z‡e Zvi Drcv`b LiP KZ?

Abykxjbx 03

1| GKwU AvqZvKvi evMv‡bi ˆ`N©¨ 32 wgUvi Ges cÖ¯’ 24 wgUvi| Gi wfZ‡i Pvwiw`‡K 2 wgUvi PIov iv¯—v Av‡Q| iv¯—vwUi †¶Îdj wbY©q Ki|

2| GKwU cyKz‡ii ˆ`N©¨ 60 wgUvi Ges cÖ¯’ 40 wgUvi| cyKz‡ii cv‡oi we¯—vi 3 wgUvi n‡j, cyKz‡ii cv‡oi †¶Îdj wbY©q Ki|

3| AvqZvKvi GKwU †¶‡Îi †¶Îdj 10 GKi Ges Zvi ˆ`N©¨ cÖ‡¯’i 4 ¸Y| †¶ÎwUi ˆ`N©¨ KZ wgUvi?

4| GKwU AvqZvKvi N‡ii ˆ`N©¨ cÖ‡¯’i †`o¸Y| Zvi †¶Îdj 216 eM©wgUvi n‡j, Gi cwimxgv KZ?

5| GKwU eM©Kvi ‡¶‡Îi ˆ`N©¨ 200 wgUvi Ges Gi evB‡i Pviw`‡K 4 wgUvi PIov GKwU iv¯—v Av‡Q| iv¯—vwUi †¶Îdj KZ?

6| GKwU †PŠev”Pvq 8000 wjUvi cvwb a‡i| Gi MfxiZv 2.56 wgUvi Ges cÖ¯’ 1.25 wgUvi n‡j, ˆ`N©¨ KZ?

7| ‡mvbv cvwbi Zzjbvq 19.3 ¸Y fvix| AvqZvKvi GKwU †mvbvi ev‡ii ˆ`N©¨ 8.8 †mw›UwgUvi, cÖ¯’ 6.4 †m.wg. Ges D”PZv 2.5 †m.wg.| †mvbvi ev‡ii IRb KZ?

8| ‡jvnv cvwbi Zzjbvq 7.5 ¸Y fvix| GK LÛ †jvnvi cvZ 3 wgUvi j¤^v, 2 wgUvi PIov I 1 †m.wg. cyi“| †jvnvi cv‡Zi IRb KZ?

Abykxjbx 4.1

1| K) 25 Rb Qv‡Îi evwl©K cix¶vq cwimsL¨v‡b cÖvß b¤^i wb‡P †`Iqv nj :

78, 72, 85, 84, 69, 75, 88, 67, 80, 74, 77, 79, 69, 74, 83, 73, 65, 75, 63, 78, 69, 75, 86, 66, 71|

cuvPwU Dchy³ †kªYx‡Z wef³ K‡i DcwiD³ b¤^i¸‡jvi Mo wbY©q Ki|

L) mivmwi fv‡e cÖvß M‡oi mv‡_ cv_©K¨ †`LvI|

2| wb‡P GKwU mvibx †`Iqv nj Gi Mo gvb wbY©q Ki|

cÖvß b¤^i	6-10	11-15	16-20	21-25	26-30	31-35	36-40	41-45
QvÎQvÎxi msL¨v	5	17	30	38	35	10	7	3

3| wb‡P mvibx ‡_‡K Mo wbY©q Ki|

evwo fvov	10-19	20-29	30-39	40-49	50-59	60-69	70-79
cwiev‡ii msL¨v	10	17	30	50	29	9	5

Abykxjbx 4.2

1| wb‡Pi Z_¨ †_‡K ga¨K wbY©q Ki|

‰`wbK gRyix	30-35	36-41	42-47	48-53	54-59	60-65
kªwgK msL¨v	3	10	18	24	8	6

2| 25wU gyw` †`vKv‡bi ˆ`wbK Avq (UvKvq) wb‡P †`Iqv nj|

75, 63, 69, 86, 71, 66, 75, 65, 73, 80, 83, 74, 69, 79, 77, 69, 74, 85, 72, 78, 84, 69, 75, 88 I 67|

cwi‡ewkZ ˆ`wbK Av‡qi Mo, ga¨K I cÖPziK wbY©q Ki|

3| wb‡Pi DcvËmg~‡ni Mo, ga¨K I cÖPziK wbY©q Ki :

‡kªYx	31-40	41-50	51-60	61-70	71-80	81-90	91-100
NUb msL¨v	4	6	8	12	9	7	4

4| GKwU KviLvbvq 100 kªwg‡Ki ˆ`wbK gRyixi mvibx wb‡P †`Iqv nj| kªwgK‡`i ˆ`wbK gRyixi Mo KZ, †`wbK gRyixi ga¨K KZ Ges me‡P‡q †ewk msL¨K kªwgK KZ UvKv ˆ`wbK gRyix cvq?

‰`wbK gRyix (UvKvq)	51-55	56-60	61-65	66-70	71-75	76-80	81-85	86-90
kªwg‡Ki msL¨v	6	20	30	15	11	8	6	4

exRMwYZ

Abykxjbx 1.1

1| n‡j Gi gvb wbY©q Ki|

2| n‡j †`LvI †h,

3| Ges n‡j I Gi gvb KZ?

4| Ges n‡j I Gi gvb KZ?

5| Ges n‡j Ges Gi gvb KZ?

6| n‡j Gi gvb wbY©q Ki|

7| `yBwU ivwki e‡M©i Aš—iƒ‡c cÖKvk t

K) L)

Abykxjbx 1.2

1| mij Ki :

2| Ges n‡j Gi gvb KZ?

3| n‡j †`LvI †h,

4| n‡j Gi gvb wbY©q Ki|

5| n‡j, Gi gvb KZ?

6| n‡j Gi gvb KZ?

7| n‡j, †`LvI †h

8| n‡j, †`LvI|

9| n‡j Gi gvb wbY©q Ki|

10| Drcv`‡K we‡klY Ki :

K) L)

M) N)

O) P)

Abykxjbx 1.3

Drcv`‡K we‡klY Ki :

1| 2|

3| 4|

5| 6|

7| 8|

9| 10|

11|

12| 13|

14| 15|

M, mv, ¸ wbY©q Ki t

1| Ges

2| Ges

3| Ges

4| Ges

j, mv, ¸ wbY©q Ki t

1| Ges

2| Ges

Abykxjbx 2.1

‡hvM Ki t

mij Ki t

Abykxjbx 2.3

cÖ_g ivwk‡K wØZxq ivwk Øviv fvM Ki :

Abykxjbx 3.1

mgvavb Ki t

Abykxjbx 3.2

2| GKwU fMœvs‡ki ni je A‡c¶v 1 †ewk| je †_‡K 2 we‡qvM Ges n‡ii mv‡_ 2 †hvM Ki‡j †h fMœvsk cvIqv hvq Zv Gi mgvb| fMœvskwU KZ?

3| 50 Rb cyi“l I gwnjvi gv‡Q 170 UvKv Ggbfv‡e fvM K‡i `vI †hb cÖwZ cyi“l 3.50 UvKv Ges cÖwZ gwnjv 3.25 UvKv cvq| cyi“l I gwnjvi msL¨v KZ?

4| ‡Kvb ¯‹z‡ji QvÎ-QvÎxi msL¨vi g‡a¨ Ask QvÎ Ges evKx Ask QvÎx| QvÎ‡`i msL¨v QvÎx‡`i msL¨v A‡c¶v 120 Rb †ewk n‡j ¯‹z‡ji QvÎ-QvÎxi msL¨v wbY©q Ki|

5| gRby cÖwZ †KwR 40 UvKv `‡i wKQy cwigvY Ges cÖwZ †KwR 30 UvKv `‡i wKQy cwigvY wPwb Lwi` K‡i| Zvi ci cÖwZ †KwR wPwb 36 UvKv `‡i weµq Kiv‡Z cÖwZ †KwR‡Z kZKiv UvKv jvf nq| †m †Kvb cÖKv‡ii wPwb Kx Abycv‡Z µq K‡iwQj?

6| ‰PZx, wcD I ivdv‡Zi gv‡S 104 UvKv Ggbfv‡e fvM K‡i `vI †hb ˆPZxi As‡ki wØ¸Y, wcD Gi As‡ki wZb¸Y Ges ivdv‡Zi As‡ki Pvi¸Y ci¯úi mgvb nq|

Abykxjbx 4.1

cÖwZ¯’vcb c×wZ‡Z mgvavb Ki t

1| 2|

5x+4y=10 3|

Acbqb c×wZ‡Z mgvavb Ki t

1| 2|

3| 4|

Abykxjbx 4.2

1| 20 eQi c~‡e© wcZvi eqm cy‡Îi eq‡mi cuvP¸Y wQj| 5 eQi ci wcZvi eq‡mi wZb¸Y cy‡Îi eq‡mi cuvP¸‡Yi mgvb| eZ©gv‡b wcZv I cy‡Îi eqm KZ?

2| ‡Kvb fMœvs‡ki j‡ei mv‡_ 1 †hvM Ki‡j nq Ges n‡ii mv‡_ 1 †hvM Ki‡j nq| fMœvskwU KZ?

3| `yB A¼ wewkó ‡Kvb msL¨vi A¼Ø‡qi mgwói mv‡_ 9 †hvM Ki‡j †hvMdj GKK ¯’vbxq A¼wUi Qq¸Y nq| wKš‘ msL¨vwU †_‡K GKK ¯’vbxq A¼wUi bq ¸Y ev` w`‡j Zvi A¼Øq ¯’vb cwieZ©b K‡i| msL¨vwU wbY©q Ki|

5| GK e¨w³ †mªv‡Zi AbyK‚‡j `vo †e‡q 10 N›Uvq 70 wK.wg. †Mj Ges †mªv‡Zi cÖwZK‚‡j `vo †e‡q wd‡i Avm‡Z 70 N›Uv jvMj| `vo RwbZ †eM I †mªv‡Zi †eM wbY©q Ki|

6| GKwU AvqZvKvi †¶‡Îi ˆ`N©¨ cÖ¯’ A‡c¶v 30 wgUvi †ekx| AvqZvKvi †¶ÎwUi cwimxgv 140 wgUvi n‡j, †¶ÎwUi ˆ`N©¨ I cÖ¯’ wbY©q Ki|

7| `yB A¼ wewkó †Kvb msL¨vi A¼Ø‡qi mgwói mv‡_ 7 †hvM Ki‡j †hvMdj `kK ¯’vbxq A¼wUi wZb¸Y nq| wKš‘ msL¨vwU †_‡K 18 ev` w`‡j Zvi A¼Øq ¯’vb cwieZ©b K‡i| msL¨vwU wbY©q Ki|

Abykxjbx 5.2

‡j‡Li mvnv‡h¨ mgvavb Ki t

1| 2|

3| 4|

5| 6|

7| 8|

R¨vwgwZ

3| hw` `yBwU wÎfy‡Ri GKwUi `yB evû h_vµ‡g AciwUi `yB evûi mgvb nq Ges evû `yBwUi Aš—f©~³ †KvY `yBwU ci¯úi mgvb nq, Z‡e wÎfyR `yBwU me©mg n‡e|

4| ‡Kvb wÎfy‡Ri GKwU evû Aci GKwU evû A‡c¶v e„nËi n‡j, e„nËi evûi wecixZ †KvY ¶z`ªZi evûi wecixZ †KvY A‡c¶v e„nËi n‡e|

7| hw` †Kvb wÎfy‡Ri GKwU evûi Dci Aw¼Z eM©‡¶Î Aci `yB evûi Dci Aw¼Z eM©‡¶ÎØ‡qi mgwói mgvb nq, Z‡e †k‡lv³ evûØ‡qi Aš—f©y³ †KvYwU mg‡KvY n‡e|

m¤úv`¨

2| Ggb GKwU mvgvš—wiK AuvK‡Z n‡e hvi GKwU †KvY GKwU wbw`©ó †Kv‡Yi mgvb Ges hv Øviv mxgve× †¶Î GKwU wbw`©ó wÎfyR‡¶‡Îi †¶Îd‡ji mgvb|

AwZwi³ R¨vwgwZ : m¤úv`¨

Special Math Suggestion For JSC Exam 2012

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