সরকারি আশেক মাহমুদ কলেজ

(1)

miKvwi Av‡kK gvngy` K‡jR

Aa©evwl©K cixÿv - 2021

†kÖwY - GKv`k welqt cwimsL¨vb cÎ- cÖ_g welq †KvW - 129

[যে য োন ৫টি প্রশ্নের উত্তর দোও]

1| †Kvb K‡j‡Ri mvßvwnK cixÿvq 25 b¤^‡ii g‡a¨ K‡qKRb wkÿv_©x wbb¥iƒc b¤^i ‡cj t 6, 8, 10, 14, 17, 20, 23, 25.

(K) mgMÖK Kx ?

(L) wew”Qbœ I Awew”Qbœ Pj‡Ki g‡a¨ cv_©K¨ e¨vL¨v Ki|

(M) DÏxc‡Ki DcvË e¨envi K‡i ∑⁸_{𝑖 = 1}(𝑥𝑖 − 5)² Gi gvb wbb©q Ki|

(N) DÏxc‡Ki DcvË e¨envi K‡i ∑⁸_{𝑖 = 1}𝑥𝑖 ² Ges ( ∑⁸_{𝑖 = 1}𝑥𝑖)² Gi gvb wbY©q K‡i m¤úK© e¨vL¨v Ki|

2| †Kvb wbw`ó© GjvKvi 20 Rb wkïi eq‡mi Z_¨ wbb¥iƒc t 7, 2, 1, 5, 4, 6, 10, 12, 6, 11, 5, 8, 10, 14, 8, 11, 7, 8, 9, 8.

(K) PjK Kx ?

(L) Mvoxi g‡Wj b¤^i †Kvb ai‡bi cwigvcb †¯‹j ? e¨vL¨v Ki|

(M) DÏxcK n‡Z cÖvß Z_¨ Kv‡R jvwM‡q Dchy³ †kÖwYe¨vwß wb‡q GKwU MYmsL¨v wb‡ekb ˆZwi Ki|

(N) cÖvß MbmsL¨v wb‡ekb †_‡K GKwU AvqZ‡jL AsKb Ki Ges

†Kvb eq‡mi wkïi msL¨v †ewk †m m¤ú‡K© gšÍe¨ Ki|

3| Rvwg‡ji msM„nxZ Z_¨ wbb¥iƒc t

X1 = 4, x2 = 2, x3 = -3, x4 = 7, x5 = 5 Rvwgj ejj, ∑⁵_{𝑖 = 1}𝑥𝑖 ² ≠ (∑⁵_{𝑖 = 1}𝑥𝑖) ² (K) aªæeK Kx ?

(L) GKRb Qv‡Îi eqm 17 eQi| Bnv wK cwimsL¨vb ? e¨vL¨v Ki|

(M) ∑⁵_{𝑖 = 1}(3𝑥𝑖 ²− 5𝑥𝑖 − 3) Gi gvb wbY©q Ki|

(N) DÏxc‡Ki Av‡jv‡K Rvwg‡ji e³‡e¨i mZ¨Zv hvPvB Ki|

4| GKwU evmvi PviwU cwiev‡ii wkïi msL¨v wbb¥iƒc t 2, 4, 3, 1

(K) bgybv Kx ?

(L) cÖvv_wgK Z_¨, gva¨wgK Z_¨ A‡cÿv AwaK MÖnY‡hvM¨| e¨vL¨v Ki|

(M) DÏxc‡Ki Av‡jv‡K cÖwZwU gv‡bi 3 ¸‡bi mv‡_ 2 †hvM K‡i

†hvMd‡ji e‡M©i mgwó cÖZx‡Ki mvnv‡h¨ cÖKvk K‡i wbY©q Ki|

(N) DÏxc‡Ki Av‡jv‡K ejv hvq ,

∑(𝑥𝑖 − 3)² < ∑(𝑥𝑖 − 4)² MvwYwZK fv‡e hvPvB Ki|

5| †Kvb K‡j‡Ri Øv`k †kÖwYi 100 Rb wkÿv_©xi cwimsL¨vb wel‡q cÖvß b¤^‡ii MY msL¨v wb‡ekb wbb¥iƒc t

cÖvß b¤^i 40-50 50-60 60-70 70-80 80-90 wkÿv_x©i

msL¨v

15 20 35 20 10

(K) cÖPziK Kx ?

(L) ga¨gv mKj gv‡bi Dci wbf©i K‡i Kx ? e¨vL¨v Ki|

(M) cÖ`Ë wb‡ek‡bi ga¨gv wbY©q Ki|

(N) DÏxc‡Ki Av‡jv‡K Mo, ga¨gv I cÖPzi‡Ki mvnv‡h¨ Z‡_¨i cÖK…wZ m¤ú‡K© gšÍe¨ Ki|

6| jyebv I gvqvi wbe©vPbx cixÿvq 50 b¤^‡ii g‡a¨ cÖvß b¤^‡ii MvwYwZK Mo 25 Ges R¨vwgwZK Mo 15 cvIqv †Mj|

(K) †K›`ªq cÖebZvi cwigvc Kx ?

(L) MvwYwZK Mo cÖvšÍxq gvb Øviv cÖfvweZ nq, e¨vL¨v Ki|

(N) DÏxc‡K D‡jøwLZ `yR‡bi cÖvß b¤^‡ii Zi½ Mo wbY©q K‡i MvwbwZK Mo, R¨vwgwZK Mo I Zi½ M‡oi g‡a¨ m¤úK© we‡kølY c~e©K gZvgZ `vI|

7| evey GKwU K‡j‡Ri Øv`k †kÖwbi evwbR¨ kvLvi QvÎ| †m evwbR¨

I weÁvb kvLvi QvÎ`i IR‡bi Z_¨ msMÖn K‡i Ges we‡kølY K‡i

†`Lj evwbR¨ kvLvi 20 Rb Qv‡Îi Mo IRb 55 †KwR| wKš‘

evwbR¨ kvLvi GKRb Qv‡Îi IRb 52 ‡KwRi ¯’‡j f~iµ‡g 25

†KwR †jLv n‡q‡Q| weÁvb kvLvi 24 Rb Qv‡Îi Mo IRb 58

†KwR| G‡ÿ‡Î †Kvb fyj nqwb|

(K) R¨vwgwZK Mo Kv‡K e‡j ?

(M) evwbR¨ kvLvi QvÎ‡`i cÖK…Z Mo IRb †ei Ki|

8| †Kvb Z_¨mvwii 5 wU gvb wbb¥iƒc t 2, 4, 6, 8, 10 (K) Zi½ Mo Kx ?