ত্রিকোণমিতিক অনুপাত ৯. 0 ও 0 এর মধ্যে...

K¨v›Ub‡g›U cvewjK ¯‹zj I K‡jR, weBDGmGgGm, cve©Zxcyi, w`bvRcyi

GgwmwKD (beg,`kg,†lvok,mß`k Aa¨vq)

beg Aa¨vq : wÎ‡KvYwgwZK AbycvZ

1. wMÖK kã metron-Gi A_© Kx?

(K) cwimxgv (L) cwiwgwZ (M) cwigvc (N) avi

2. wÎ‡KvYwgwZ (Trigonometry) kãwUÑ

(K) Bs‡iwR kã (L) cZz©MxR kã

(M) wMÖK kã (N) wnw›` kã

3. ‡Kv‡Yi tan Gi AbycvZ wb‡Pi †KvbwU?

(K) (L)

(M) (N)

4.

cos = KZ?

(K) 1 (L)

2

1 (M) 2 (N) 2

5. ABC Gi 3AB,90B †m.wg. 4BC †m.wg.

n‡j, Csin Gi gvb KZ?

(K)

3

5 (L)

5

4 (M)

4

3 (N)

5

3

6. 30A n‡j, A2tan.Atan Gi gvb KZ?

(K) 0 (L)

3

1 (M) 1 (N) 3

7. 4

3tan n‡j 2cos Gi gvb KZ?

(K)

9

16 (L)

16

25 (M)

16

9 (N)

25

16

8.

Dc‡ii wP‡Î cos = †KvbwU?

(K)

AB

AC (L)

AB

BC (M)

BC

AB (N)

AC

AB

9. sin I eccos Gi g‡a¨ m¤úK© wb‡Pi †KvbwU?

(K) sin = cosec (L) sin + cosec = 1

(M) sin . cosec =1 (N) 1eccos

1

sin

1

10. 2

1cos n‡j, tan Gi gvb KZ?

(K) 2 (L) 3 (M)

2

3 (N)

2

1

11.

Dc‡ii wP‡Î h Gi gvb wb‡Pi †KvbwU?

(K) 4.5 (L) 6.3 †m.wg. (M)7.8 †m.wg. (N)9.5 †m.wg.

12. 2tan1

1 = KZ?

(K) sec (L) cos

(M) sin (N) cosec

13. sec + tan = 2

5 n‡j, sec – tan Gi gvb KZ?

(K)

5

2 (L)

5

3

(M)

6

5 (N)

5

4

14. sin = 2

1 n‡j, cosec Gi gvb KZ?

(K)

2

1 (L) 1 (M) 2 (N)

2

3

15. wb‡Pi †Kvb m~ÎwU mwVK?

(K) tan2 – 1 = sec

2 (L) cosec

2– tan

2 = 1

(M) sin2 – cos2 = 1

(N) 1sec

1

eccos

122

16. 2

3sin I 2sec n‡j, tan KZ?

(K) 33 (L) 26

(M) 29 (N) 3

mvaviY MwYZ: wÎ‡KvYwgwZ,cwiwgwZIcwimsL¨vb SSC

mwbœwnZ evû

wecixZ evû

AwZfyR

wecixZ evû

wecixZ evû

AwZfyR

wecixZ evû

mwbœwnZ evû

17. b

aecAcos n‡j, Atan = KZ?

(K) 22 ba

b

(L)

b

ba 22

(M)

b

ba 22 (N)

22 ba

b

18. 2cos1cot = ?

(K) sin (L) cos

(M) cosec (N) tan

19. m~²‡Kv‡Yi wÎ‡KvYwgwZK AbycvZ¸‡jvi cvi¯úwiK m¤úK©

†KvbwU mwVK?

(K)

cos

sincot (L)

sec

1sin

(M)

cos

sintan (N)

eccos

1cot

20. y

xcot n‡j, eccos = KZ?

(K)

y

yx 22 (L)

22 yx

y

(M)

y

yx 22 (N)

22 yx

y

21. 1sec2 = KZ?

(K) 2cot (L) 22 sec.sin

(M) 2cos (N) 22 sec.cos

22. Acot

1

Acos

122

Gi gvb KZ n‡e?

(K) Atan (L) Acot

(M) 1 (N) 1

23. 2cottan n‡j, cottan KZ?

(K) 0 (L) 1 (M) 4 (N) 2

24. 3Asin5 n‡j, Atan Gi gvb KZ?

(K)

5

4 (L)

4

5 (M)

4

3 (N)

3

4

25. 2

1cos n‡j, cot = KZ?

(K) 0 (L) 1 (M)

2

1 (N)AmsÁvwqZ

26. Acos Gi gvb 0(k~b¨) n‡j, A KZ?

(K) 30 (L) 45

(M) 60 (N) 90

27. 3

1tan n‡j, sin =?

(K) 0.45 (L) 0.5 (M)

2

3 (N) 1

28.

ABC-G BC evûi •`N©¨ KZ?

(K) 2 cm (L) 32 cm

(M) 23 cm (N) cm3

2

29. A3cosA3sin n‡e, hLb A = KZ?

(K) 10 (L) 15

(M) 20 (N) 45

30. 4

cot.4

tan.4

sin.4

cos

-Gi gvb KZ n‡e?

(K) 1 (L)

2

1 (M)

2

1 (N) 2

31.

45sec

45sin = KZ?

(K) 1 (L) 2 (M)

2

1 (N) 2

32. cosec (90 – ) = 2 n‡j, cos = KZ?

(K) 2 (L)

2

3

(M)

2

1 (N)

2

1

33.

CAD -Gi gvb KZ?

(K) 30 (L) 40

(M) 50 (N) 60

34. 5

4sin Ges m~²‡KvY n‡j, tan = ?

(K)

21

5 (L)

5

41

(M)

4

3 (N)

3

4

35. PQR G Q = 90, PQ = 5 †m.wg., QR = 12 †m.wg.

n‡j, PR Gi gvb KZ †m.wg.?

(K) 7 (L) 13

(M) 17 (N) 25

36. Gi †Kvb gv‡bi Rb¨ sin2 + cos

2 = 1 nq?

(K) 45 Gi Rb¨ (L) 60 Gi Rb¨

(M) 90 Gi Rb¨ (N) †h †Kv‡bv gvb-Gi Rb¨

37. 90eccos30sec 22 Gi gvb KZ?

(K)

3

4 (L)

3

2

(M)

2

1 (N)

3

1

38.

Dc‡ii wPÎ Abyhvqx cos Gi gvb †KvbwU?

(K)

5

3 (L)

4

3

(M)

5

4 (N)

4

5

39. Acos Gi gvb 0 (k~b¨) n‡j, A = KZ?

(K) 30 (L) 45

(M) 60 (N) 90

40. 90cos.90sin.45tan 222-Gi gvb KZ?

(K) 0 (L)

2

1 (M) 1 (N)

2

3

41.

i. sin2 = 1 + cos

2

ii. sec2 = 1 + tan

2

iii. cosec2 = 1 + cot

2

wb‡Pi †KvbwU mwVK?

(K) i I ii (L) i I iii

(M) ii I iii (N) i, ii I iii

42. wÎ‡KvYwgwZK m¤ú‡K©i †¶‡ÎÑ

i. cosec2 = 1 – cot

2

ii. sec2 = 1 + tan

2

iii. cosec2 = 1 – tan

2


(K) ii (L) i I iii


43. wÎ‡KvYwgwZK m¤ú‡K©i †¶‡ÎÑ

i. sin2 = 1 – cos

2 ii. sec

2 = 1 + tan

2

iii. cosec2 = 1 – tan

2




44. sin cÖZxKwUÑ

i. ‡Kv‡Yi mvB‡bi AbycvZ

ii. sin Ges Gi ¸Ydj iii. GKwU wbw ©ó †KvY


(K) i (L) i I ii

(M) i I iii (N) i, ii I iii

45. m~²‡KvY e‡jÑ

i. sin + cos < 1 n‡e

ii. sin2 + cos

2 = 1 n‡e

iii. cosec2 – cot

2 = 1 n‡e


(K) i I ii (L) ii I iii


46. †Kv‡Yi mv‡c‡¶Ñ

i. cos2 =1 – sin

2

ii. tan2 = sec

2 – 1

iii. cot2 = cosec

2 – 1 wb‡Pi †KvbwU mwVK?



47. wÎ‡KvYwgwZK Abycv‡Zi m¤ú‡K©i †¶‡ÎÑ

i. sin 60 =

60cos

1 ii. tan 45

=

45cot

1

iii. cosec 30 =

30sin

1




48.

i. sec (90 – ) = cos

ii. c~iK †Kv‡Yi sin = †Kv‡Yi cosine

iii. tan 0 = 0




49. wewfbœ †Kv‡Yi wÎ‡KvYwgwZK Abycv‡Zi gvb we‡ePbvqÑ

i. tan 30 cot 30

= 1

ii. sec2 60

– tan

2 60

= 0

iii. tan 2sin1 = sin




50. = 90 n‡jÑ

i. sin I cosec Gi gvb mgvb

ii. tan I sec Gi gvb msÁvwqZ

iii. cos I cot Gi gvb 0 wb‡Pi †KvbwU mwVK?



51. wb‡Pi Z_¨¸‡jv coÑ

i. cos 0 = sin 90

ii. sin (90 – ) = cos

iii. A = 30 n‡j, cos 3A = sin 3A




A

5

3

B C

52. †Kv‡Yi mv‡c‡¶Ñ

i. sec2 – tan

2 = 1

ii. cot2 – cosec

2 = 1

iii. sin2 + cos

2 = 1 ,




53. 90 †Kv‡Yi †¶‡ÎÑ

i. tan 90 Ges sec 90

AmsÁvwqZ

ii. sin 90 Ges cosec 90

Gi gvb mgvb

iii. cos 90 Ges cot 90

Gi gvb Amgvb



(M) i I iii (N) ii

wb‡Pi Z‡_¨i Av‡jv‡K 2wU cÖ‡kœi DËi `vI:

54. cos Gi gvb wb‡Pi †KvbwU?

(K)

5

3 (L)

4

3

(M)

5

4 (N)

4

5

55. 1sin

1tan2

2

Gi gvb wb‡Pi †KvbwU?

(K)

8

35 (L) 44.2

(M) 1 (N) 56.1


56. BC Gi •`N©¨ KZ?

(K)

2

3 wg. (L) 3 wg.

(M) 32 wg. (N) 33 wg.

57. AC Gi •`N©¨ KZ?

(K)

2

33 wg. (L) 33 wg.

(M) 36 wg. (N) 36 wg.


58. R2 Gi gvb wb‡Pi †KvbwU?

(K) 30 (L) 45

(M) 60 (N) 90

59. PQR Gi †¶‡ÎÑ

i. ReccosPsec ii. 2

5PsecPcos

iii. 3

1Rtan





60. cot Gi gvb KZ?

(K)

3

1 (L)

2

3 (M) 3 (N) 2

61. ?cos

(K)

2

3 (L)

2

1 (M)

2

1 (N) 0


62. cot = ?

(K)

5

3 (L)

4

3

(M)

4

5 (N)

3

4

63. 22 cossin = KZ?

(K)

9

5 (L)

4

3 (M) 1 (N)

4

5

64. cossin KZ?

(K) 1 (L) 0 (M)

7

5 (N)

5

7

B

C

3 5

A 4

P

1

Q R

2

A

3m

B C

60

P

5

3

Q R


65. tan = KZ?

(K)

2

1 (L) 3 (M)

3

1 (N)

3

2

66. cos.sin = KZ?

(K)

2

3 (L)

3

4

(M)

4

3 (N)

4

3

67. 2sec = KZ?

(K)

3

2 (L)

3

4

(M)

4

3 (N)

4

3

`kg Aa¨vq : `~iZ¡ I D”PZv

68.

A we›`y‡Z B we›`yi AebwZ †Kv‡Yi cwigvc KZ?

(K) 90 (L) 60

(M) 45 (N) 30

69. 18 wgUvi j¤^v GKwU gB GKwU †Ìqv‡ji Qv` eivei †Vm w`‡q

f~wgi m‡½ 45 †KvY Drcbœ K‡i| †ÌqvjwUi D”PZv wbY©q

Ki|

(K) 11.528 wgUvi (cÖvq) (L) 12.627 wgUvi (cÖvq)

(M) 12.728 wgUvi (cÖvq) (N) 13.728 wgUvi (cÖvq)

70.

Dc‡ii wP‡Î LuywUi •`N©¨ KZ wgUvi?

(K) 5 (L)

3

10

(M) 35 (N) 310

71. GKwU Mv‡Qi •`N©¨ I Qvqvi •`‡N©ï AbycvZ 3:3 n‡j,

DbœwZ †KvY KZ wWwMÖ?

(K) 30 (L) 45

(M) 60 (N) 90

72. GKwU bvwi‡Kj Mv‡Qi Qvqvi •`N©¨ 310 wgUvi Ges Gi

kxl©we›`y Qvqvi †kl cÖv‡š—i mv‡_ 30 DbœwZ †KvY •Zwi K‡i|

MvQwUi D”PZv KZ wgUvi?

(K) 10 (L) 20

(M) 25 (N) 30

73. GKwU wgbv‡ii D”PZv 320 wgUvi Ges Qvqvi •`N©¨ 20 wgUvi

n‡j Gi AebwZ †KvY KZ wWwMÖ?

(K) 30 (L) 45 (M) 60 (N) 90

74. GKwU Mv‡Qi fvOv Ask MvQwU n‡Z 10 wgUvi ~‡i 60 †KvY

•Zwi K‡i, fvOv As‡ki •`N©¨ wb‡Pi †KvbwU?

(K) 10 wg. (L) 310 wg. (M) 20 wg. (N) 320 wg.

75.

G‡¶‡Î AB Gi gvb †KvbwU?

(K) 29 wgUvi (L) 218 wgUvi

(M) 36 wgUvi (N) 9 wgUvi

76.

wP‡Î BCAB2 n‡j

i. 60BAC

ii. 45ACBBAC

iii. 30ACB wb‡Pi †KvbwU mwVK?



77.

i. AB = AD ii. AD > AB

iii. AD = 48 – x wb‡Pi †KvbwU mwVK?



A

B C

C

45

A B

18 wgUvi

1

3

2

78. wb‡Pi wP‡Î AB n‡jv †`qv‡ji D”PZv, OA gB f~wgi m‡½

45 †KvY •Zwi K‡i Qv‡`i kxl©we›`y A †Z †c․u‡QÑ

i. BOA n‡jv DbœwZ †KvY ii. BOA n‡jv AebwZ †KvY

iii. OB Dj¤^ †iLv ,wb‡Pi †KvbwU mwVK?




79. ‡KvbwU mwVK?

(K) A we›`y‡Z B we›`yi AebwZ †KvY 60

(L) C we›`y‡Z A we›`yi AebwZ †KvY 30

(M) A we›`y‡Z C we›`yi AebwZ †KvY 60

(N) A we›`y‡Z C we›`yi AebwZ †KvY 30

80. BC Gi •`N©¨Ñ

(K) cm14 (L) cm2

37 (M) cm

3

14 (N) cm

2

7


81. AB= KZ wgUvi?

(K) 25 (L) 325 (M) 100 (N) 3100

82. BD = KZ wgUvi?

(K) 76.60 (cÖvq) (L) 86.02 (cÖvq)

(M) 87.18 (cÖvq) (N) 186.60 (cÖvq)


PQR GKwU mgevû wÎfyR|

83. QD= KZ GKK?

(K) 1 (L) 2 (M) 2 (N) 4

84. wÎfyRwUi D”PZv KZ GKK?

(K) 32 (L)

3

4 (M) 3 (N)

3

2


85. AwZfy‡Ri gvb KZ †m.wg?

(K) 40 (L) 60 (M) 80 (N) 100

86. AC Gi •`N©¨ KZ?

(K) 69.28 †m.wg. (L) 57 †m.wg.

(M) 40 †m.wg. (N) 28 †m.wg.


wP‡Î 60ADB,10BD Ges

60BAC

87. AB LuywUwUi D”PZv KZ wgUvi?

(K) 5 (L) 35 (M) 10 (N) 310

88. LuywUwUi cv`‡`k n‡Z f~Zj¯’ C we›`yi ~iZ¡ KZ wgUvi?

(K) 35 (L) 10

(M) 310 (N) 30


wP‡Î 18OB wg. `xN© GKwU gB hv AB †`qv‡ji Qv` ¯úk©

K‡i Ges OA f~wgi mv‡_ 45 †KvY Drcbœ K‡i‡Q|

89. ‡`qv‡ji D”PZv h Gi gvb KZ wgUvi n‡e?

(K)

2

9 (L) 29

(M) 18 (N) 218

90. ‡`qvj †_‡K gB‡qi cv` we› yi `~iZ¡ KZ wgUvi?

(K)

2

9 (L) 9

(M) 29 (N) 218


PQ GKwU MvQ Ges R we›`y‡Z P we›`yi DbœwZ †KvY 30 |

R I Q we›`yi ~iZ¡ 20 GKK| S we›`ywU MvQwUi kxl© we›`yi

mv‡_ 60 †KvY Drcbœ K‡i|

91. MvQwUi D”PZv KZ GKK (cÖvq)?

(K) 34.456 (L) 32 (M) 30.641 (N) 11.55

92. MvQwUi cv`‡`‡k †_‡K f~ÑZj¯’ S we›`yi ~iZ¡ KZ GKK?

(K) 20 (L) 11.54

(M) 10 (N) 6.67


93. A we›`y‡Z B we›`yi AebwZ †Kv‡Yi cwigvY †KvbwU?

(K) 90 (L) 60

(M) 45 (N) 30

94. DABBAC Gi mgvb †KvbwU?

(K) ABC (L) ACBABC

(M) ACB (N) ACBBAC

95. AC Gi •`N©¨ †KvbwU?

(K)

2

17 wg. (L) 30 wg.

(M) 15 wg. (N) 21 wg.

†lvok Aa¨vq : cwiwgwZ

96. mgevû wÎfy‡Ri cÖ‡Z¨K evûi •`N©¨ a GKK n‡j mgevû

wÎfyR‡¶‡Îi †¶Îdj KZ eM© GKK?

(K)

2

a3 (L)

2a3

4 (M)

2a4

3 (N)

3

2

97. GKwU wÎfy‡Ri wZb evûi •`N©¨ h_vµ‡g 5 †m.wg. 6 †m.wg. I 7

†m.wg.| Gi †¶Îdj KZ?

(K) 15.7 eM© †m.wg. (L) 15 eM© †m.wg. (cÖvq)

(M) 14.7 eM© †m.wg. (cÖvq) (N) 13.7 eM© †m.wg. (cÖvq)

98. wb‡Pi †KvbwU mgwØevû wÎfy‡Ri †¶Îdj?

(K) 22 ba4

4

a (L)

22 ba44

1

(M) 22 ba

4

b (N)

22 ba44

b

99. GKwU mgwØevû wÎfy‡Ri f~wg x Ges mgvb evûØ‡qi •`N©¨ y

n‡j, wÎfyRwUi †¶Îdj KZ?

(K) 22 xy4

4

x (L)

22 xy4x

4

(M) 22 yx4

4

x (N)

22 y4x4

x

100. wÎfy‡Ri f~wg 6 †m.wg. Ges D”PZv 4 †m.wg. n‡j, Gi †¶Îdj

KZ eM© †m.wg.?

(K) 6 (L) 12 (M) 18 (N) 24

101.

ABC wÎfy‡Ri †¶Îdj KZ eM© †m.wg. (cÖvq)?

(K) 36 (L) 6 (M) 12 (N) 25

102. ABC Gi cm25ACAB Ges .cm30BC

Zvn‡j ABC Gi †¶Îdj wbY©q Ki|

(K) 250 cm2 (L) 300 cm

2

(M) 340.9 cm2 (N) 409.1 cm

2

103. GKwU mgevû wÎfy‡Ri evûi •`N©¨ 2 †m.wg.| Gi ga¨gvi •`N©¨

KZ?

(K) 3 †m.wg. (L)

2

3 †m.wg.

(M) 2 †m.wg. (N) 1 †m.wg.

104.

wP‡Î AB I AC Gi ga¨we›`y h_vµ‡g E I F n‡j, EF

Gi •`N©¨ KZ?

(K) 20 †m.wg. (L) 10 †m.wg.

(M) 15 †m.wg. (N) 5 †m.wg.

105. GKwU mgwØevû wÎfy‡Ri f~wgi •`N©¨ 6 wgUvi| mgvb mgvb evûi

•`N©¨ f~wgi

6

5 Ask n‡j, †¶Îdj KZ?

(K) 10 eM©wgUvi (L) 12 eM©wgUvi

(M) 14 eM©wgUvi (N) 16 eM©wgUvi

106. GKwU mgevû wÎfy‡Ri evûi •`N©¨ 8 †m.wg. n‡j, Gi †¶Îdj

KZ eM© †m.wg.?

(K) 33 (L) 34

(M) 38 (N) 316

107. GKwU mg‡KvYx wÎfy‡Ri f~wg 8 †m.wg., AwZfyR 10 †m.wg. n‡j

Gi j‡¤i •`N©¨ KZ †m.wg. n‡e?

(K) 2 (L) 4 (M) 6 (N) 8

108.

Dc‡ii wÎfyRwUi †¶Îdj KZ eM© †m. wg.?

(K) 6 (L) 12

(M) 19 (N) 30

109. GKwU mgevû wÎfy‡Ri cÖwZwU evûi •`N©¨ 4 GKK n‡j Gi

†¶Îdj KZ eM© GKK?

(K) 34 (L) 38

(M) 316 (N) 318

110. GKwU mgevû wÎfy‡Ri evûi •`N©¨ 2 wgUvi n‡j, D”PZv KZ

wgUvi n‡e?

(K) 3 (L)

2

4 (M)

3

4 (N)

4

3

111. GKwU mgevû wÎfy‡Ri cÖwZwU evûi •`N©¨ 2 GKK n‡j, Gi

†¶Îdj KZ eM© GKK?

(K) 3 (L) 34 (M)

4

3 (N) 32

112. cÖ`Ë wP‡Îi Av‡jv‡K wb‡Pi †Kvb m¤úK©wU mwVK?

(K) y = 180 – 3x (L) x = 90 – y

(M) y + x = 60 (N) y = 90 – 2x

113. wÎfy‡Ri `yBwU evûi •`N©¨ h_vµ‡g 9 †m.wg. I 8 †m.wg. Ges

AšÍf©y³ †KvY 30 n‡j, †¶Îdj KZ eM© †m.wg.?

(K) 9 (L) 18 (M) 36 (N) 72

114.

ABC GKwU mgevû wÎfyR|

BOC KZ wWwMÖ?

(K) 90 (L) 100 (M) 120 (N) 130

115. mgevû wÎfy‡Ri evûi •`N©¨ 8 †m.wg. n‡j Gi D”PZv KZ?

(K) 32 †m.wg. (L) 34 †m.wg.

(M) 316 †m.wg. (N) 332 †m.wg.

116. hw` GKwU AvqZ‡¶‡Îi mwbœwnZ evûØq 8 †m.wg. Ges 15

†m.wg. nq Z‡e AvqZ‡¶‡Îi K‡Y©i •`N©¨ KZ †m.wg.?

(K) 23 (L) 17 (M) 12.68 (N) 11.31

117. mvgvšÍwiK †¶‡Îi †¶Îdj wb‡Pi †KvbwU?

(K) •`N©¨ cÖ¯’ (L) f~wg D”PZv

(M)

2

1 f~wg D”PZv (N) 2 (•`N©¨ + cÖ¯’)

118. GKwU UªvwcwRqv‡gi mgvšÍivj evûØ‡qi •`N©¨ 18 †m.wg., I 14

†m.wg. Ges Zv‡`i ga¨eZx© ~iZ ¡ 8 †m.wg. n‡j UªvwcwRqv‡gi

†¶Îdj KZ eM© †m.wg.?

(K) 128 (L) 64 (M) 32 (N) 16

119. GKwU i¤^‡mi K‡Y©i •`N©¨ h_vµ‡g 10 †m.wg. I 12 †m.wg., Gi

†¶Îdj KZ eM© †m.wg.?

(K) 11 (L) 22 (M) 60 (N) 120

120. e„‡Ëi e¨vmva© r n‡j, cwiwa KZ?

(K) r (L) r2 (M) 2r (N)

2r2

121.

ABCD e‡M©i K‡Y©i •`N©¨ KZ †m.wg.?

(K) 32 (L) 24

(M) 34 (N) 28

122. GKwU e‡M©i cwimxgv 24 †m.wg. n‡j, Gi †¶Îdj KZ eM©

†m.wg.?

(K) 16 (L) 25

(M) 36 (N) 48

123. 25 wgUvi K‡Y©i •`N©¨wewkó eM©‡¶‡Îi evûi •`N©¨ KZ

wgUvi?

(K) 5 (L) 6

(M) 7 (N) 8

124. GKwU AvqZ‡¶‡Îi •`N©¨ 4 wgUvi I cÖ¯’ 3 wgUvi n‡j, Gi

K‡Y©i •`N©¨ KZ?



125. GKwU AvqZ‡¶‡Îi •`N©¨ I cÖ¯’ wØ¸Y Ki‡j Gi †¶Îdj

KZ¸Y evo‡e?

(K) 9 ¸Y (L) 8 ¸Y

(M) 3 ¸Y (N) 4 ¸Y

126. GKwU AvqZvKvi Rwgi cwimxgv 18 wgUvi I •`N©¨ 6 wgUvi

n‡j, cÖ¯’ KZ?



127. GKwU AvqZ‡¶‡Îi •`N©¨ cÖ‡¯’i wØ¸Y| Zvi †¶Îdj 128

eM©wgUvi n‡j cwimxgv KZ?



128. GKwU AvqZvKvi N‡ii •`N©¨ cÖ‡¯’i wZb¸Y| Gi †¶Îdj 147

eM©wgUvi n‡j, cwimxgv KZ wgUvi?

(K) 14 (L) 28

(M) 56 (N) 84

129. GKwU eM©‡¶‡Îi evûi •`N©¨ 24 GKK n‡j, Gi K‡Y©i •`N©¨

KZ GKK n‡e?

(K) 4 (L) 8

(M) 12 (N) 16

130. GKwU eM©‡¶‡Îi †¶Îdj 169 eM© †m.wg. n‡j Gi cwimxgv

KZ †m.wg.?

(K) 13 (L) 26 (M) 52 (N) 65

131. GKwU eM©‡¶‡Îi cwimxgv 20 GK n‡j Gi †¶Îdj KZ eM© GKK?

(K) 4 (L) 5 (M) 16 (N) 25

132. GKwU mvgvšÍwi‡Ki f~wg cm33 Ges D”PZv cm32

n‡j Gi †¶Îdj KZ?

(K) 27 cm2 (L) 18 cm

2

(M) 12 cm2 (N) 6 cm

2

133. GKwU mvgvšÍwi‡Ki †¶Îdj 200 eM© †m.wg. Ges Gi GKwU KY©

40 †m.wg.| KY©wUi wecixZ †K․wYK we›`y †_‡K D³ K‡Y©i Dci

Aw¼Z j‡¤i •`N©¨ KZ?

(K) 5 †m.wg. (L) 10 †m.wg.

(M) 20 †m.wg. (N) 40 †m.wg.

134. GKwU i¤^‡mi KY©Ø‡qi A‡a©K h_vµ‡g 5 †m.wg. Ges 7

†m.wg.| i¤^‡mi †¶Îdj KZ eM© †m.wg.?

(K) 12 (L) 24 (M) 35 (N) 70

B

C

A

D

4 †m.wg.

135.

x Gi gvb KZ?

(K) 50 (L) 70

(M) 110 (N) 120

136. GKwU AvqZ‡¶‡Îi •`N©¨ I cÖ¯’ wØ¸Y K‡i evo‡j †¶Îdj

KZ¸Y evo‡e?

(K) 1 (L) 2 (M) 3 (N) 4

137.

Dc‡ii wP‡Î CD Pv‡ci •`N©¨ KZ?

(K) 2 (L)

2

(M)

18

(N)

36

138. GKwU Aa©e„‡Ëi †¶Îdj 25.135 eM© †m.wg. n‡j, Gi e¨vmva©

KZ?

(K) 4 †m.wg. (L) 3 †m.wg.

(M) 2 †m.wg. (N) 1 †m.wg.

139. GKwU e„‡Ëi cwiwa 220 wg. H e„‡Ëi AšÍwj©wLZ eM©‡¶‡Îi

cwimxgv KZ?

(K) 35.014 wg. (L) 70.028 wg.

(M) 49.52 wg. (N) 198.07 wg.

140. GKwU e„‡Ëi cwiwa 88 †m.wg. n‡j, Gi e¨vm KZ †m.wg.?

(K) 7 (L) 14

(M) 28 (N) 35

141. GKwU PvKv 720 wgUvi c_ †h‡Z 18 evi Ny‡i, PvKvwUi cwiwa KZ?

(K) 40 wg. (L) 738 wg.

(M) 703 wg. (N) 12980 wg.

142. e„‡Ëi e¨vmva© 2 †m.wg. Ges e„‡Ëi †K‡› ª Drcbœ †KvY 180

n‡j e„ËKjvi †¶Îdj KZ eM© †m.wg.?

(K) (L) 2

(M) 3 (N) 4

143. e„‡Ëi cwiwa : e¨vm = KZ?

(K) 2:1

(L) 1:

(M) :1 (N) 2:2

1

144. AvqZvKvi Nbe¯‘i KqwU Zj Av‡Q?

(K) 2 (L) 3 (M) 4 (N) 6

145. GKwU Nb‡Ki avi x GKK n‡j NbKwUi mgMÖ c„‡ôi †¶Îdj

KZ eM© GKK?

(K) 2x (L)

2x3

(M) 2x4 (N)

2x6

146. GKwU Nb‡Ki cÖwZwU avi 3 †m.wg. n‡j Nb‡Ki K‡Y©i •`N©¨ KZ

†m.wg.?

(K) 32 (L) 23 (M) 33 (N) 9

147. GKwU Nb‡Ki K‡Y©i •`N©¨ 36 wgUvi n‡j, Gi AvqZb KZ

Nb wgUvi?

(K) 36 (L) 144 (M) 216 (N) 512

148. GKwU †ejbvK…wZi Pz¤‡Ki f~wgi e¨vmva© 2 †m.wg. Ges D”PZv 3

†m.wg. Dnvi eµc„‡ôi †¶Îdj KZ eM© †m.wg. (cÖvq)?

(K) 12.57 (L) 25.13 (M) 37.70 (N) 62.83

149. ‡ej‡bi †¶‡ÎÑ(†hLv‡b D”PZv ,h e¨vmva© = r )

i. eµc„‡ôi †¶Îdj = rh2 ii. AvqZb = hr2

iii. mgMÖZ‡ji †¶Îdj = )rh2r( 2




150. 13 †m.wg. D”PZvwewkó †ej‡bi f~wgi e¨vmva© 6 †m.wg. n‡jÑ

i. f~wgi †¶Îdj 113.10 eM© †m.wg.

ii. c„ôZ‡ji †¶Îdj 490.09 eM© †m.wg.

iii. AvqZb 1470.27 Nb †m.wg.




151.

wP‡Î ABCD mvgvšÍwiK n‡jÑ

i. 38BE wgUvi

ii. ABCD Gi †¶Îdj 3800 eM©wgUvi

iii. †¶Î 364ABE eM©wgUvi


(K) i (L) i I iii


152.

ABCD GKwU AvqZ‡¶Î n‡jÑ

i. Gi †¶Îdj 40 eM© †m.wg.

ii. AC Gi •`N©¨ 9.43 †m.wg.

iii. Gi cwimxgv 24 †m.wg.




8 cm

5 cm

C

D A

B

300

A

C

D

B E

16m

100m

153.

Dc‡ii wPÎvbymv‡iÑ

i. 30ABC ii. AB > BC

iii. AC < AB , wb‡Pi †KvbwU mwVK?



154.

Dc‡ii wP‡ÎÑ

i. ADC Gi †¶Îdj = 6 eM© †m.wg.

ii. ABC Gi cwimxgv = 12 †m.wg.

iii. ABC Gi cwimxgv = 24 eM© †m.wg.




155. GKwU mgwØevû wÎfy‡Ri cwimxgv 16 †m.wg. Ges f~wg 6 †m.wg.

n‡jÑ

i. mgvb mgvb evûi •`N©¨ 5 †m.wg.

ii. †¶Îdj 12 eM© †m.wg. iii. D”PZv 8 †m.wg.




156.

wP‡Î 10BC,ACAB wgUvi Ges cwimxgv 22 wgUvi

n‡jÑ

i. 6AB wgUvi

ii. 11AD wgUvi

iii. †¶‡Î 614ABD eM©wgUvi




157. GKwU eM©‡¶‡Î 3 †m.wg. e¨vmva© wewkó GKwU e„‡Ë AšÍwj©wLZ

n‡jÑ

i. eM©‡¶‡Îi evû I K‡Y©i ‣`‡N©¨i AbycvZ 2:1

ii. e„‡Ëi †¶Îdj 9 eM© †m.wg.

iii. e„Ë I eM© †¶‡Îi †¶Îd‡ji AbycvZ 2:





158. ABC Gi cwimxgvi mgvb cwimxgv wewkó e‡M©i †¶Îdj

KZ eM© †m.wg.?

(K) 4 (L) 3

(M) 2.50 (N) 2.25

159. AE Gi •`N©¨ KZ †m.wg.?

(K) 2 (L) 3

(M) 5 (N) 32

160. cÖ`Ë wP‡ÎÑ

i. BAC + ABC = ACD

ii. ABC = ACB = 60

iii. ACD + ACB = 180 wb‡Pi †KvbwU mwVK?




161. ABCD Gi †¶Îdj KZ eM© †m.wg.?

(K) 30 (L) 40

(M) 50 (N) 60

162. CDEF Gi cwimxgv KZ †m.wg.?

(K) 10 (L) 11

(M) 12 (N) 22


163. AC= KZ GKK?

(K) 13.52 (cÖvq) (L) 14.12 (cÖvq)

(M) 15.01 (cÖvq) (N) 15.62 (cÖvq)

164. CDE wÎfy‡Ri †¶Îdj KZ eM© GKK?

(K) 12 (L) 20

(M) 24 (N) 120

165. AKB Aa©e„‡Ëi cwiwa KZ GKK?

(K) 18 (L) 18.85 (cÖvq)

(M) 37.7 (cÖvq) (N) 96

B A

K

B

C D

10 GKK

2 G

KK

12 GKK


O †K›`ªwewkó ABCD e„‡Ë AD I BC e¨vm,

cm8AB.ABMN Ges cm3ON .

166. AM evûi •`N©¨ KZ †m.wg.?

(K) 4 (L) 5

(M) 6 (N) 8

167. e„ËwUi e¨vmva© KZ †m.wg.?

(K) 3 (L) 4

(M) 5 (N) 6

168. e„ËwUi †¶Îdj KZ eM© †m.wg.?

(K) 75.4 (L) 78.54

(M) 83.44 (N) 85.48


169. AD Gi •`N©¨ KZ †m.wg.?

(K) 7 (L) 7.14 (M) 9 (N) 33

170. ABC Gi †¶Îdj KZ eM© †m.wg.?

(K) 20 (L) 24.27 (M) 39.27 (N) 28.21


GKwU AvqZ‡¶‡Îi †¶Îdj 144 e©M †m.wg.|AvqZ‡¶ÎwUi

cÖ¯’ cm9 GesAvqZ‡¶ÎwUi †¶Îdj GKwU eM©‡¶‡Îi

†¶Îd‡ji mgvb|

171. AvqZ‡¶ÎwUi cwimxgv KZ?

(K) 25 cm (L) 50 cm

(M) 81 cm (N) 256 cm

172. eM©wUi K‡Y©i •`N©¨ KZ?

(K) 9 cm (L) 12 cm

(M) cm212 (N) 25 cm


ABC mgevû wÎfyR Ges 36AD †m.wg. n‡jÑ

173. AB = KZ †m.wg.?

(K) 6 (L)

3

12 (M) 12 (N) 312

174. mgevû wÎfyRwUi †¶Îdj KZ?

(K)

6

36 eM© †m.wg. (L)

3

36 eM© †m.wg.

(M) 336 eM© †m.wg. (N) 636 eM© †m.wg.


ABC Gi cwimxgv 84 †m.wg.

175. wÎfyRwUi Z…Zxq evûi •`N©¨ KZ †m.wg.?

(K) 21 (L) 26

(M) 32 (N) 36

176. wÎfyRwUi †¶Îdj KZ eM© †m.wg.?

(K) 225.26 (L) 250.00

(M) 300.25 (N) 327.26


177. AC Gi •`N©¨ KZ?

(K) 10.05 †m.wg. (L) 20 †m.wg.

(M) 28 †m.wg. (N) 112 †m.wg.

178. ABC ÑGi †¶Îdj KZ?

(K) 150 eM© †m.wg. (L) 96 eM© †m.wg.

(M) 60 eM© †m.wg. (N) 54 eM© †m.wg.


ABC Gi 2ABCABC | evû¸‡jvi ga¨we›`y

h_vµ‡g E,D I F |

179. ABC GKwUÑ

(K) mg‡KvYx wÎfyR (L) mgwØevû wÎfyR

(M) mgevû wÎfyR (N) welgevû wÎfyR

180. ABC Gi cwimxgv KZ GKK?

(K) 3 (L) 4 (M) 6 (N) 9

181. BCEF PZzf©yR †¶ÎwUi †¶Îdj KZ eM© GKK?

(K) 3 (L)

4

3 (M)

4

33 (N)

8

327


ABCD GKwU i¤^‡mi AC I BD ci¯úi O we›`y‡Z †Q`

K‡i| .cm8BD,cm6AC

182. i¤^mwUi evûi •`N©¨ KZ?

(K) 5 cm (L) 4 cm (M) 3 cm (N) 2 cm

183. Ñ†¶Î AOD Gi †¶Îdj KZ?

(K) 8 cm2 (L) 6 cm

2

(M) 4 cm2 (N) 3 cm

2

184. i¤^m †¶ÎwUi †¶Îdj KZ?

(K) 48 cm2 (L) 24 cm

2

(M) 12 cm2 (N) 6 cm

2


ABCD GKwU PZzf©yR| 8AC GKK, 6BD GKK|

185. AOB Gi †¶Îdj KZ n‡e?

(K) 6 eM© GKK (L) 12 eM© GKK

(M) 8 eM© GKK (N) 16 eM© GKK

186. PZzf©yRwUi cwimxgv KZ?

(K) 10 GKK (L) 20 GKK

(M) 15 GKK (N) 30 GKK


187. DE Pv‡ci •`N©¨ KZ?

(K) 6.28 wgUvi (cÖvq) (L) 5.28 wgUvi (cÖvq)

(M) 7.28 wgUvi (cÖvq) (N) 6 wgUvi (cÖvq)

188. ADE e„Ëvs‡ki †¶Îdj KZ eM©wgUvi?

(K) 73.7 eM©wgUvi (cÖvq) (L) 30.7 eM©wgUvi (cÖvq)

(M) 37.7 eM©wgUvi (cÖvq) (N) 73.3 eM©wgUvi (cÖvq)

189. ABCD PZzf©yRwUi wfZ‡ii e„ËwU Qvov Aewkó As‡ki

†¶Îdj KZ?

(K) 28.91 eM©wgUvi (cÖvq) (L) 29.01 eM©wgUvi (cÖvq)

(M) 29 eM©wgUvi (cÖvq) (N) 30.90 eM©wgUvi (cÖvq)


190. x ÑGi gvb KZ?

(K) 2 (L) 4

(M) 5 (N) 9

191. cyKzicv‡oi we¯—vi x wgUvi n‡j, cv‡oi †¶Îdj KZ

eM©wgUvi?

(K) 50 (L) 100

(M) 220 (N) 440


192. iv¯—vi †¶Îdj KZ?

(K) 384 m2 (L) 816 m

2

(M) 999 m2 (N) 1200 m

2

193. cÖwZ wgUvi 5 UvKv wn‡m‡e evMv‡bi Pviw`‡K †eov w`‡Z KZ

LiP n‡e?

(K) 580 UvKv (L) 700 UvKv

(M) 4080 UvKv (N) 6000 UvKv


194. ECDA e‡M©i †¶‡Îi AC Gi •`N©¨ KZ?

(K) 22 †m.wg. (L) 23 †m.wg.

(M) 24 †m.wg. (N) 25 †m.wg.

195. BCDA UªvwcwRqv‡gi †¶Îdj KZ eM© †m.wg.?

(K) 20 (L) 21

(M) 22 (N) 23


196. e„‡Ëi †¶Îdj KZ?

(K) 785.4 cm2 (L) 78.54 cm

2

(M) 53.14 cm2 (N) 31.4 cm

2

197. e„‡Ëi e¨vmva© e‡M©i evûi •`N©¨ n‡j, e‡M©i K‡Y©i •`N©¨ KZ?

(K) 1.41 cm (L) 2.41 cm

(M) 7.91 cm (N) 7.071 cm


ABC -G D we›`y BC evûi ga¨we›`y|

8CABCAB wg.

198. ABC Gi †¶Îdj KZ eM©wgUvi?

(K) 38 (L) 316

(M) 324 (N) 332

199. ABC Gi cwimxgv KZ wgUvi?

(K) 8 (L) 12 (M) 16 (N) 24

200. ABC Gi †¶Îdj KZ eM©wgUvi?

(K) 38 (L) 310

(M) 312 (N) 316

mß`k Aa¨vq : cwimsL¨vb

201. DcvËmg~n mviwYfy³ Kiv n‡j cÖwZ †kªwY‡Z hZ¸‡jv DcvË

AšÍf©y³ nq Gi wb‡ ©kK wb‡Pi †KvbwU?

(K) ‡kªwY mxgv (L) ‡kªwYi ga¨we›`y

(M) ‡kªwY msL¨v (N) ‡kªwYi MYmsL¨v

202. ‡Kv‡bv NUbv m¤úwK©Z msL¨vgv‡bi Z_¨vewj‡K H NUbvi Kx ejv nq?

(K) DcvË (L) ga¨K

(M) cwimsL¨vb c×wZ (N) cwimsL¨vb

203. msM„nxZ DcvË‡K cwimsL¨v‡b Kx e‡j?

(K) Drcv`K (L) mviwY (M) KuvPvgvj (N) WvUv

204. mviwYfy³Ki‡Yi †¶‡Î cÖ_g †KvbwU wbY©q Ki‡Z nq?

(K) †kªwY msL¨v (L)‡kªwY eëavb (M) cwimi (N)MYmsL¨v

205. cwimsL¨v‡b ewY©Z Z_¨vw` †h msL¨v¸‡jvi gva¨‡g cÖKvwkZ nq,

Zv‡ì H cwimsL¨v‡bi Kx e‡j?

(K) Mo (L) PjK (M) DcvË (N) †kªwY eëavb

206. ‡Kvb †kªwYi MYmsL¨v 5 Ges Zvi c~‡e©i yB †kªwYi MYmsL¨v

h_vµ‡g 6 I 7 Ges c‡ii `yB †kªwYi MYmsL¨v h_vµ‡g 4 I 5

n‡j, H †kªwYi µg‡hvwRZ MYmsL¨v KZ?

(K) 9 (L) 13 (M) 14 (N) 18

207. wb‡Pi †KvbwU wew”Qbœ PjK?

(K) RbmsL¨vg~jK Dcv‡Ëi PjK

(L) IRb mswkøó Dcv‡Ëi PjK

(M) eqm mswkøó Dcv‡Ëi PjK

(N) ZvcgvÎv wb‡`©kK Dc‡Ëi PjK

208. ‡KvbwU Awew”Qbœ PjK?

(K) †jvKmsL¨v (L) wk¶v_x©‡ì cÖvß b¤i

(M) mgq (N) kªwgK‡ì gRywi

209. wb‡Pi †KvbwU wew”Qbœ PjK?

(K) ZvcgvÎv (L) eqm (M) D”PZv (N) RbmsL¨v

210. Dcv‡Ëi eëüZ msL¨vmg~n‡K wK e‡j?

(K) NUbv (L) Z_¨vw` (M) WvUv (N) PjK

211. ‡KvbwU wbY©q Ki‡Z µg‡hvwRZ MYmsL¨vi cÖ‡qvRb nq?

(K) AvqZ‡jL (L)‡kªwY msL¨v (M) AwRf‡iLv (N) cwimi

212. AvqZ‡jL A¼‡bi Rb¨ †kªwY e¨vwß †Kgb n‡Z n‡e?

(K) wew”Qbœ (L) Awew”Qbœ

(M) abvZ¥K c~Y© msL¨v (N) FYvZ¥K c~Y© msL¨v

213. ‡Kv‡bv Dcv‡Ëi †kªwY web¨v‡mi ci †kªwY eëav‡bi D”Pmxgv x -

A¶ eivei Ges †kªwYi µg‡hvwRZ MYmsL¨v y -A¶ eivei

’vcb K‡i †h †jLwPÎ cvIqv hvq, Zv‡K Kx ejv nq?

(K) AvqZ‡jL (L) AwRf‡iLv

(M) MYmsL¨v evûf~R (N) L I M DfqB

214. AvqZ‡jL †_‡K †Kvb †jLwPÎ A¼b Kiv hvq?

(K) cvBwPÎ (L) `ÛwPÎ

(M) AwRf‡iLv (N) MYmsL¨v eûfyR

215. AwRf †iLvi †¶‡Î wb‡Pi †KvbwU mwVK?

(K) EaŸ©Mvgx (L) wb¤œMvgx (M) mgvšÍivj (N) Dj¤^

216. ‡KvbwU †Kw›`ªq cÖeYZvi cwigvc bq?

(K) Mo (L) ga¨K (M) cÖPziK (N) MYmsL¨v

217. 1 †_‡K 20 ch©šÍ †g․wjK msL¨v¸‡jvi Mo KZ?

(K) 9.625 (L) 12.625 (M) 15.625 (N) 17.625

218. MZ mßv‡n †Zvgvi kn‡ii ZvcgvÎv wQj:

23C, 26C, 29C, 25C, 27C, 30C I 29C. Mo

ZvcgvÎv KZ wQj?

(K) 26C (L) 27C (M) 28C (N) 29C

219. 35, 40, 42, 50, 56, 42, 50, 64, 42, 35, 40 b¤î¸‡jvi

Mo KZ?

(K) 41.09 (L) 45.09 (M) 49.09 (N) 50.09

220. 15, 17, 24, 21, 16, 17, 23, 18, 20, 22 DcvËmg~‡ni

ga¨K †KvbwU?

(K) 17 (L) 17.5 (M) 18.5 (N) 19

221.

IRb (†KwR) 45 50 55 60 65 70

MYmsL¨v 2 6 8 16 12 6

ga¨K KZ?

(K) 50 (L) 55 (M) 60 (N) 65

222. hw` Dcv‡Ëi msL¨v n nq Ges n hw` we‡Rvo msL¨v nq, Z‡e

ga¨K n‡e †Kvb Zg c‡ì gvb?

(K)

2

n (L)

2

1n (M)

2

2n (N)

2

3n

223. wb‡Pi †KvbwU mZ¨?

(K) ga¨K =

m

cf

hF

2

nL

(L) ga¨K =

m

cf

hF

2

nL

(M) ga¨K =

m

cf

hF

2

nL

(N) ga¨K =

m

cf

hF

2

nL

224. 4, 1, 6, 3, 8, 7, 2, 9, 12, 2, 3, 8, 15 gvbmg~‡ni ga¨K

wb‡Pi †KvbwU?

(K) 4 (L) 6 (M) 7 (N) 8

225. ‡Kv‡bv MYmsL¨v wb‡ek‡bi cÖPziK = 42.666, L =41, 1f =5,

2f =25 n‡j, †kªwY eëavb KZ?

(K) 9 (L) 10 (M) 12 (N) 13


10 Rb kªwg‡Ki g½jev‡ii cvwikªwgK wbæiƒc:

‡kªwY 6-10 11-15 16-20 21-25

NUb msL¨v 4 10 15 20

226. cÖPziK wbY©‡qi †Kvb m~ÎwU mwVK?

(K) hf

ffL

1

21

(L) hff

fL

21

2

(M) hff

fL

21

1

(N)

21

1

ff

fL

227. GLv‡b L =21, h =5, 1f I 2f ÑGi gvb KZ?

(K) 5, 20 (L) 20, 5

(M) 5, 5 (N) 20, 15

228. MÖx®§Kv‡j evsjv‡`‡ki †Kv‡bv GKwU AÂ‡ji 10 w`‡bi ZvcgvÎv

(†mw›U‡MÖW) n‡jv: 20, 22, 17, 34, 20, 35, 21,

24, 25, 27. msL¨vm~PK Dcv‡Ëi cÖPziK †KvbwU?

(K) 17 (L) 20 (M) 22 (N) 24

229. 8, 9, 7, 15, 10, 15, 11, 8, 10, 9, 8 DcvË¸‡jvi cÖPziK

KZ?

(K) 8 (L) 9 (M) 10 (N) 15

230. 2, 2, 3, 6, 7, 7, 7, 8, 9 Dcv‡Ëi cÖPziK †KvbwU?

(K) 2 (L) 6 (M) 7 (N) 9

231. wb‡Pi Z_¨¸‡jv j¶¨ KiÑ

i. cÖv_wgK Dcv‡Ëi wbf©i‡hvM¨Zv †ewk

ii. 13, 17, 19, 12 DcvË¸‡jvi MvwYwZK Mo 15.25

iii. ‡h me •ewkó¨ msL¨vq cwigvY Kiv hvq bv Ggb •ewkóävix

Z_¨‡K PjK e‡j




232.

i.msw¶ß c×wZ‡Z MvwYwZK Mo wbY©‡qi m~Î :

hn

ufax

11

ii. †kªwY web¨šÍ Dcv‡Ëi ga¨K wbY©‡qi m~Î: ga¨K =

mf

hFc

2

nL

iii. †kªwY web¨šÍ Dcv‡Ëi cÖPziK wbY©‡qi m~Î: cÖPziK =

hff

fL

21

1


(K) i I ii (L) i I ii


233. wb‡Pi Z_¨¸‡jv j¶ Ki:

i. cÖPziK =

m

0f

hF

2

nL

ii. ga¨K = hff

fL

21

1

iii. MvwYwZK Mo =

1i

xf

k

n

111

i



(M) ii I iii (N) iii

234. 1, 5, 3, 2, 4, 9 DcvË¸‡jviÑ

i. m‡e©v”P gvb 9 ii. me©wb¤œgvb 1

iii. cwimi 7





10 Rb kªwg‡Ki g½jev‡ii cvwikªwgK wbæiƒc:

150 130 145 170 140

190 180 165 175 200 235. DcvË¸‡jvi cwimi KZ?

(K) 69 (L) 70

(M) 71 (N) 75

236. †kªwY eëavb 10 n‡j †kªwY msL¨v KZ n‡e?

(K) 9 (L) 8

(M) 7 (N) 6

237. DcvË¸‡jvi MvwYwZK Mo KZ?

(K) 165.4 (L) 165

(M) 164.5 (N) 164


‡kªwY eëavb 30-39 40-49 50-59 60-69

MYmsL¨v 8 16 30 14

238. ga¨K †kªwYi MYmsL¨v KZ?

(K) 16 (L) 24

(M) 30 (N) 34

239. Dcv‡Ëi cÖPziKÑ

(K) 45.33 (L) 50.53

(M) 54.67 (N) 55.33


‡kªwY eëavb 21-30 31-40 41-50 51-60

MYmsL¨v 4 12 8 10

240. DÏxc‡Ki ga¨K †kªwYi EaŸ©mxgv KZ?

(K) 31 (L) 40

(M) 50 (N) 60

241. Dc‡iv³ Z‡_ï cÖPziK KZ (cÖvq)?

(K) 34.33 (L) 37.67

(M) 41.83 (N) 47.67


mvßvwnK Avq cwiev‡ii msL¨v

251 – 500 22

501 – 750 25

751 – 1000 40

1001 – 1250 23

1251 – 1500 10

242. ‡kªwY eëavb KZ?

(K) 200 (L) 250

(M) 300 (N) 350

243. ‡Kvb †kªwY‡Z ga¨K Aew¯’Z?

(K) 251Ñ500 (L) 501Ñ750

(M) 751Ñ1000 (N) 1001Ñ1250

244. cwiev‡ii mvßvwnK Mo Avq KZ?

(K) 521.33 UvKv (L) 621.33 UvKv

(M) 721.33 UvKv (N) 821.33 UvKv

‡gv: gvnveyevi Avjg

mnKvix wkÿK(MwYZ)

wmwcGmwm,weBDGmGgGm,cv©eZxcyi, w`bvRcyi

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