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Exam 11

The document appears to be a mathematical examination or problem set, containing various questions related to geometry, algebra, and trigonometry. It includes multiple-choice questions with options labeled A through H, as well as specific mathematical expressions and equations. The format suggests it is intended for educational purposes, possibly for students preparing for an exam in mathematics.

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shafik.bogura
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47 views2 pages

Exam 11

The document appears to be a mathematical examination or problem set, containing various questions related to geometry, algebra, and trigonometry. It includes multiple-choice questions with options labeled A through H, as well as specific mathematical expressions and equations. The format suggests it is intended for educational purposes, possibly for students preparing for an exam in mathematics.

Uploaded by

shafik.bogura
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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ewikvj †evW©-2024

MwYZ (eûwbe©vPwb Afx¶v)


[2024 mv‡ji wm‡jevm Abyhvqx] welq †KvW : 1 0 9
mgq : 30 wgwbU c”Y©gvb : 30
[we‡kl `ªóe¨ : mieivnK…Z eûwbe©vPwb Afx¶vi DËic‡Î cÖ‡kœi µwgK b¤^‡ii wecix‡Z cÖ`Ë eY©msewjZ e„Ëmg”n n‡Z mwVK/m‡e©vrK…ó Dˇii e„ËwU ej c‡q›U Kjg Øviv m¤“”Y© fivU Ki| cÖwZwU cÖ‡kœi gvb-1|]
cÖkœc‡Î †Kv‡bv cÖKvi `vM/wPý †`qv hv‡e bv|
1| 16| 0.13  0.3 = KZ?
A
2 2 4
E F G H4
45 5 9
17| wb‡Pi †KvbwU mmxg †mU?
P Q
E {x  Z : x < 2} F {pq : p I q c”Y©msL¨v Ges q  0}
O G {y  N : y2 < 100 < y3} H {x  Z : x2 > 5 Ges x3  36}
3 1
wP‡Î, BC || PQ n‡jÑ
B C 18| (x) = + 1 n‡j 
x ()x
= KZ?
3+x x
i. BOC I POQ m`„k ii. AP : BP = AQ : CQ iii. BO : OQ = CO : OP E 3x + 1 F 3+x G
x
H
3x + 1
wb‡Pi †KvbwU mwVK? 19| 1 2a
a + a = 3 n‡j 3a2  2a + 3 Gi gvb KZ?
E i I ii F i I iii G ii I iii H i, ii I iii
2 2 2 2
2| 'T' eY©wUi †gvU KZwU cÖwZmvg¨ †iLv Av‡Q? E F G H
11 7 11 7
E k”b¨wU F GKwU G wZbwU H AmsL¨ 20| 5% mij gybvdvq 400 UvKv KZ eQ‡i gybvdv-Avm‡j 520 UvKv n‡e?
 DÏxc‡Ki Av‡jv‡K 3 I 4bs cÖ‡kœi DËi `vI : E4 F6 G 24 H 46
1
B
21| 5 x + 1
= 625 n‡j x Gi gvb KZ?
E3 F4 G5 H6
22| GKwU nvB‡Wªv‡Rb cigvYyi e¨vmva© 0.0000000037 †mwg| msL¨vwUiÑ
D O A 
i. Av`k©iƒc = 3.7  109 ii. mvaviY j‡Mi c”Y©K = 9
iii. mvaviY j‡Mi AskK = 0.5682
C wb‡Pi †KvbwU mwVK?
E i I ii F i I iii G ii I iii H i, ii I iii
wP‡Î O e„‡Ëi †K›`ª| AB I AC `yBwU ¯“k©K Ges BAC = 60|
3| BOC Gi gvb KZ? 23| x  2 = x x 2 mgxKi‡Yi mgvavb †mU †KvbwU?
E 300 F 270 G 120 H 90 E {} F {1} G {2} H {1, 2}
1
4| D, BDC Pv‡ci ga¨we›`y n‡jÑ  x+y=1
i. BDC = BAC ii. BOC = 2BAC iii. BCD + DBC = BOC
wb‡Pi †KvbwU mwVK?
24| 2
x  2y = 2
mgÄm ii.
i.
} mgxKiY †RvUwUÑ
ci¯“i wbf©ikxj iii. GKwUgvÎ mgvavb Av‡Q
E i I ii F i I iii G ii I iii H i, ii I iii wb‡Pi †KvbwU mwVK?
5| sin 1 + tan2 = KZ? E i I ii F i I iii G ii I iii H i, ii I iii
E tan F sin G cos H sec 25| 3 + 5 + 7 + ... ... avivwUi 1g n msL¨K c‡`i mgwó KZ?
6| 0    90 Gi Rb¨ sin Gi me©wbæ gvb KZ? E n2 F n(n + 1) G n(n + 2) H n(n + 3)
E 1 F0 G1 H
26| wb‡Pi †KvbwU‡K k–b¨gvÎvi mËv e‡j MY¨ Kiv nq?
tanA  tanB E †iLv F Zj G †KvY H we›`y
7| ABC Gi C = GK mg‡KvY Ges A = 60 n‡j Gi gvb KZ? 27|
1 + tanA.tanB
1 A
E 3 F1 G H0
3
8| 12 wgUvi `xN© GKwU gB †`Iqvj †_‡K 6 3 wgUvi `–‡i f‚wgi mv‡_  †KvY 40

Drcbœ K‡i †`Iqv‡ji Qv` ¯•k© K‡i|  Gi gvb KZ?


E 30 F 45 G 60 H 90 B D
C
9| †Kv‡bv eM©‡¶Î Zvi K‡Y©i Dci Aw¼Z eM©‡¶‡Îi KZ MyY? 1
E A‡a©K F mgvb G †`oMyY H wØMyY ABC Gi AB = AC n‡j ACD = KZ wWwMÖ?
2
10|  †mwg cwiwawewkó e„‡Ëi †¶Îdj KZ eM© †mwg? E 55 F 90 G 110 H 140
   
28| GKwU mgwØevû mg‡KvYx wÎfz‡Ri mgvb evû؇qi cÖwZwUi •`N©¨ 6 †mwg|
E
2
F
3
G
4
H
8 wÎfzRwUi †¶Îdj KZ eM© †mwg?
E 72 F 36 G 18 H 12
11| GKwU Nb‡Ki m¤•–Y© c„‡ôi †¶Îdj 150 eM©wg.| Gi c„ôZ‡ji K‡Y©i •`N©¨ KZ wgUvi?  DÏxc‡Ki Av‡jv‡K 29 I 30bs cÖ‡kœi DËi `vI :
E5 F5 2 G5 3 H 125 A C
12| GKwU mge„Ëf‚wgK †ej‡bi f‚wgi e¨vmva© I D”PZv ci¯•i mgvb|
†ejbwUi mgMÖZj I eµZ‡ji †¶Îd‡ji AbycvZ KZ n‡e?
E 3:1 F 2:1 G 1:1 H 1:2 E F
O
13| wb‡Pi †KvbwU wbY©‡q avc wePz¨wZ cÖ‡qvRb nq?
E Mo F ga¨K G cÖPziK H cwimi
14| 12 †_‡K 45 ch©š@ †gŠwjK msL¨vMy‡jvi ga¨K wb‡Pi †KvbwU? B D
E 52 F 29 G 26 H 23
wP‡Î O e„ËwUi †K›`ª Ges BE = 4 †mwg|
15| wb‡æi Dcv‡Ëi cÖPziK KZ? 29| OE = OF n‡j CD = KZ †mwg?
E3 F4 G6 H8
x 2130 3140 4150 5160 30| AB = CD Ges OE = 3 †mwg n‡j e„ËwUi e¨vm KZ †mwg?
 5 8 10 12 E4 F5 G6 H 10
E 61 F 55.5 G 52.43 H 45
 Lvwj NiMy‡jv‡Z †cbwmj w`‡q DËiMy‡jv †j‡Lv| Gici cÖ`Ë DËigvjvi mv‡_ wgwj‡q †`‡Lv †Zvgvi DËiMy‡jv mwVK wK bv|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
DËi

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
ewikvj †evW©Ñ2023
c`v_©weÁvb (eûwbe©vPwb Afx¶v) welq †KvW 1 3 6
mgq : 25 wgwbU c–Y©gvb : 25
[we‡kl `ªóe¨ : mieivnK…Z eûwbe©vPwb Afx¶vi DËic‡Î cÖ‡kœi µwgK b¤^‡ii wecix‡Z cÖ`Ë eY©m¤^wjZ e„Ëmg–n n‡Z mwVK/m‡e©vrK…ó
Dˇii e„ËwU ej c‡q›U Kjg Øviv m¤•–Y© fivU Ki| cÖwZwU cÖ‡kœi gvb- 1|]
cÖkœc‡Î †Kv‡bv cÖKvi `vM/wPý †`Iqv hv‡e bv|
1. cxob I weK…wZi g‡a¨ m¤•K© †KvbwU? 11. k‡ãi ZxeªZvi GKK n‡jvÑ
E e¨¯@vbycvwZK F mgvbycvwZK i. Wm–2 ii. Jm–1 iii. Js–1m–2
G eM©g–‡ji mgvbycvwZK H e‡M©i e¨¯@vbycvwZK wb‡Pi †KvbwU mwVK?
2. jvj †Mvjvc jvj †`Lvq KviY- E i I ii F i I iii G ii I iii H i, ii I iii
i. †Kej jvj is cÖwZdwjZ K‡i 12. AeZj `c©‡ Y MwVZ we¤^Ñ
ii. jvj is Qvov me is †kvlY K‡i i. e¯‘ A‡c¶v †QvU I †mvRv ii. e¯‘i mgvb I D‡ëv
iii. jvj Av‡jvq Zi½‰`N©¨ †ewk iii. e¯‘ A‡c¶v eo I †mvRv
wb‡Pi †KvbwU mwVK? wb‡Pi †KvbwU mwVK?
E i I ii F ii I iii G i I iii H i, ii I iii E i I ii F i I iii G ii I iii H i, ii I iii
3. wb‡Pi †Kvb wP‡Îi †jLwPÎwU wbw`©ó cwievnxi †iva (R) ebvg 13. c`v‡_© i AwefvR¨ GK‡Ki bvg GUg †`b †K?
†¶Îdj (A) Gi mv‡c‡¶ mwVK? E wc_v‡Mvivm F †W‡gvwµUvm
R R G Be‡bwmbv H Avj nv‡Rb
K L 14. †Kvb `yB wU ivwki gvÎv Awfbœ ?
O A A E Pvc Ges cxob F KvR I ¶gZv
G Zwor cÖevn I `xcb ZxeªZv H Z¡iY I `ª“wZ
R R
15. GKwU †¯‹‡ji mvnv‡h¨ me©wbæ 1mm gvcv hvq| hw` †Kv‡bv e¯‘i
M N
A A ˆ`N©¨ 1mm nq Z‡e cwigv‡ci kZKiv Av‡cw¶K ΓwU KZ n‡e?
 wb‡Pi wPÎ n‡Z 4 I 5 bs cÖ‡kœi DËi `vI : E 0.5% F 5% G 15% H 50%
7 9 16. GK e¨w³ 100m e¨vmv‡a©i GKwU e„
Ë vKvi gvV 2.5 cvK Nyi‡j
Zvi miY KZ n‡e?
E 785.4 m F 250 m G 200 m H 150 m
24V 3 17. g Gi mgvb †e‡M Lvov Dc‡ii w`‡K wbw¶ß e¯‘ cwZZ n‡Z
5
KZ mgq †b‡e?
E 0.5 s F 1s G 1.5 s H2s
4. 7 Gi ga¨Kvi cÖevn KZ? 18. wbw`©ó Nb‡Z¡i Zi‡ji MfxiZv wZb wgUvi †_‡K bq wgUvi
E 1A F 2A G 3A H 4A Ki‡j Pvc KZMyY evo‡e?
5. 3 Gi `yB cÖv‡š@i wefe cv_©K¨ KZ? E 3 MyY F 6 MyY G 9 MyY H 12 MyY
E 3v F 4v G 6v H 12v 19.
6. BOT ej‡Z Kx †evSvq? B F
E Zwor kw³ cwigv‡ci GKK F Zwor ¶gZvi GKK A
G I
C E
G Zwor”PvjK kw³i GKK H Zwor wef‡ei e¨envwiK GKK D H
7. wb‡Pi †KvbwU bevqb‡hvM¨ kw³i Drm? wb‡Pi †Kvb KYvMy‡jv GKB `kvm¤•bœ?
E †Zj F ev‡qvM¨vm G Kqjv H wbDwK¬qvm E B.C.D F C.E.G G D.F.H H A.E.I
 wb‡Pi DÏxc‡Ki Av‡jv‡K 8 I 9 bs cÖ‡kœi DËi `vI : 20. wb‡Pi †KvbwU †hŠwMK GKK?
GKwU ˆe`y¨wZK †gvU‡ii mvnv‡h¨ 50N IR‡bi GKwU e¯‘‡K f‚- E H2 F Cd GJ H Pa
c„ô †_‡K 5m Dc‡i DVv‡Z 400J kw³ mieivn Ki‡Z nq| 21. PKP‡K Pvg‡Pi DËj As‡k ZvKv‡j wb‡Ri cÖ
w Zwe¤^ wU †Kgb †`Lv‡e?
8. jf¨ Kvh©Ki kw³ KZ n‡e? E †mvRv I †QvU F †mvRv I eo
E 250J F 400J G 500J H 800J G D‡ëv I weewa©
Z H D‡ëv I †QvU
9. DÏxc‡KÑ 22. mej wbDwK¬q e‡ji cvjÐv KZ?
i. kw³i wbZ¨Zvi m–ÎwU cÖ‡hvR¨ n‡q‡Q E 10–10m F 10–12m G 10–15m H 10–18m
ii. †gvUiwUi Kg©¶gZv 62.5% 23. wbDU‡bi MwZi wØZxq m–Î †_‡K †KvbwUi cwigvc cvIqv hvq?
iii. AcPqK…Z kw³ 150J E fi F RoZv G ej H IRb
wb‡Pi †KvbwU mwVK? 24. Nl©Y mn‡Mi GKK †KvbwU?
Ei F ii G i I ii H i, ii I iii EN F kg GJ H GKK †bB
10. wb‡Pi †Kvb gva¨‡g k‡ãi †eM me‡P‡q †ewk? 25. ¶gZvi gvÎv †KvbwU?
E cÐvRgv F evqexq G Zij H KwVb E MLT–2 F MLT–1 G ML2T–3 H ML–1T–2

 Lvwj NiMy‡jv‡Z †cbwmj w`‡q DËiMy‡jv †jL| Gici cÖ`Ë DËigvjvi mv‡_ wgwj‡q †`‡Lv †Zvgvi DËiMy‡jv mwVK wK bv|
1 2 3 4 5 6 7 8 9 10 11 12 13
DËi

14 15 16 17 18 19 20 21 22 23 24 25

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