জেেএসসি গণিত

*** †`kjvB‡qi KvwV w`‡q wb‡Pi wÎfzR¸‡jvi c¨vUvb© ˆZwi Kiv n‡q‡Q|

 

(K) PZz_© c¨vUv‡b© †`kjvB‡qi KvwVi msL¨v †ei Ki|

(L) ZvwjKvi cieZ©x msL¨vwU Kxfv‡e †ei Ki‡e Zv e¨vL¨v Ki|

(M) kZZg c¨vUvb© ˆZwi‡Z KZ¸‡jv †`kjvB‡qi KvwVi cÖ‡qvRb ?

*** †Kvb Avmj 3 eQ‡i gybvdv-Avm‡j 5500 UvKv nq| gybvdv Avm‡ji Ask|

(K) Avmj wbY©‡qi m~ÎwU †jL|

(L) Dc‡ii Z‡_¨i wfwˇZ Avmj KZ?

(M) gybvdvi nvi wbY©q Ki|

*** wkcÖv eo–qv †Kv‡bv e¨vs‡K 3000 UvKv Rgv †i‡L 2 eQi ci gybvdvmn 3600 UvKv †c‡q‡Qb|

(K) mij gybvdvi nvi wbY©q Ki|

(L) AviI 3 eQi ci gybvdv-Avmj KZ n‡e ?

(M) 3000 UvKv GKB nvi Pµe„w× gybvdvq Rgv ivL‡j 2 eQi ci Pµe„w× g~jab KZ n‡Zv ?

*** GKB nvi gybvdvq †Kvb g~ja‡bi GK eQiv‡šÍ Pµe„w× g~jab 9,000 UvKv I `yB eQiv‡šÍ Pµe„w× g~jab 10,000 UvKv|

(K) DÏxc‡Ki Z‡_¨i Av‡jv‡K `yBwU mgxKiY MVb Ki|

(L) gybvdvi nvi wbY©q Ki|

(M) g~jab wbY©q K‡i 3 eQi c‡i Pµe„w× gybvdv KZ n‡e Zv wbb©q Ki|

*** GKRb Kjv e¨emvqx 30 UvKvq 12 wU I 15wU `‡i mgvb msL¨K Kjv µq K‡i me¸‡jv Kjv 30 UvKvq 10wU `‡i weµq Kij|

(K) 1 nvwj Kjvi Mo µqg~j¨ KZ?

(L) H e¨emvqxi kZKiv KZ jvf ev ÿwZ n‡e?

(M) hw` cÖwZ Kjvi Mo µqg~j¨ 2.5 UvKv nq, †m‡ÿ‡Î kZKiv KZ jvf ev ÿwZ n‡e Zv wbY©q Ki|

***  GKwU AvqZvKvi N‡ii ˆ`N©¨ cÖ‡¯’i 4 ¸Y|

(K) †ÿÎwUi †ÿÎdj hw` 216 eM©wgUvi nq Z‡e Gi cÖ¯’ KZ wgUvi?

(L) D³ †ÿÎwUi †ÿÎdj hw` 10 GKi nq Z‡e Gi ˆ`N©¨ KZ wgUvi  n‡e?

(M) cÖwZ wgUv‡i 1.50 UvKv `‡i NiwUi Pvicv‡k PvivMvQ jvMv‡j †gvU KZ UvKv LiP n‡e?

*** †mvbv cvwbi Zzjbvq 19.3 ¸Y fvwi| AvqZvKvi GKwU †mvbvi ev‡ii ‰`N©¨ 7.8 †m.wg, cÖ¯’ 6.4 †m.wg Ges D”PZv 2.5 †m.wg|

(K) †mvbvi ev‡ii AvqZb KZ?

(L) †mvbvi ev‡ii IRb wbY©q Ki|

(M) ‰`N©¨ 6 †m.wg I cÖ¯’ 4.2 †m.wg wewkó cv‡Î †mvbvi evi KZ…©K AcmvwiZ cvwb Xvj‡j Zvi D”PZv KZ n‡e?

*** x³ + = 3 n‡j,

(K) Gi gvb wbY©q Ki|

(L) Gi gvb KZ?

(M) x² +  Gi Nb wbY©q K‡i gvb †jL|

***  a - b + c GKwU exRMwYZxq ivwk n‡j,

(K) cÖ`Ë ivwki Nb wbY©q Ki|

(L) cÖgvY Ki †h, (a - b + c) ≠ (a - b)³ + c³

(M) cÖgvY Ki †h cÖ`Ë ivwki eM© I (a + c)² - b² mgvb bq|

***  a² – b² , a³ – b³, a⁴ + a²b² + b⁴ wZbwU exRMwYZxq ivwk|

(K) 1g ivwkwUi eM© wbb©q Ki|

(L) hw` cÖ_g ivwki gvb c² nq Z‡e, cÖgvb Ki †h, a⁶ - b⁶ - 3a²b²c² = c⁶

(M) ivwk wZbwUi j.mv.¸ wbY©q Ki|

***  cÖ`Ë mgxKiY `yBwU ch©‡eÿY Ki :

     + = +  Ges x - y = -1

(K) cÖ_g mgxKi‡Yi PjK¸‡jv wjL|

(L) cÖwZ¯’vcb c×wZ‡Z mgxKiY `yBwU mgvavb Ki|

(M) Acbqb c×wZ‡Z mgxKiY `yBwU mgvavb Ki|

***  U = {1, 2, 3, 4, 5, 6}, P = {1, 3, 5}, Q = {2, 4, 6} Ges R = {2, 3, 4, 5} KZ¸‡jv †mU|

(K) ‡`LvI †h, P ©= Q - P.

(L) cÖgvb Ki †h, (P È Q) Ç R ¹ (PÇ R) È (Q Ç R).

(M) (Q È R) © = Q © Ç R © m¤úK©wUi mZ©Z¨ hvPvB Ki|

***  wb‡Pi mviwY‡Z 200 Rb wkÿv_©xi cQ‡›`i dj †`Lv‡bv n‡jv|

dj	Avg	KvuVvj	wjPz	Rvgiæj
mviwY	70	30	80	20

(K) cwimsL¨vb Kv‡K e‡j? Z_¨ I DcvË Kx?

(L) cvB wP‡Î Dc‡ii Z_¨¸‡jvi mwVK gvb¸‡jv wbb©q Ki|

(M) gvb¸‡jvi wfwˇZ GKwU cvBwPÎ A¼Y Ki|

***  wb‡P 40 Rb M„wnYxi mvßvwnK mÂq (UvKvq) wb‡P †`Iqv n‡jv :

155, 173, 166, 143, 168, 160, 156, 146, 162, 158, 159, 148, 150, 147, 132, 136,

156, 140, 155, 145, 135, 151, 141, 149, 169, 140, 125, 122, 140, 137, 175, 145,

150, 164, 142, 156, 152, 146, 148, 157 I 167|                                                                            

mvßvwnK Rgv‡bvi Mo, ga¨K I cÖPziK wbY©q Ki|

***  wb‡P GKwU mviwY †`Iqv n‡jv :

‡kÖwY	20-29	30-39	40-49	50-59	60-69
MYmsL¨v	10	6	18	12	8

(K) AvqZ‡jL Kx?

(L) cÖ`Ë mviwY †_‡K Mo wbY©q Ki|

(M) Dcv˸‡jvi AvqZ‡jL AvuK|