Maths Quiz

1- leqPp;ds okLrfod mileqPp;ksa dh la[;k gSA

What is the number of real subsets of the set

1

8

2

7

✓

3

6

4

5

Correct Answer: 2 

2.- ekuk lEcU/kds }kjk ifjHkkf"kr gS] rcgS] ¼tcfdokLrfod la[;kvksa dk leqPp; gSA½

Let the relation be defined by  then(while  is the set of real numbers-)

1

R ij rqY;rk lEcU/k

Equivalence relation on R

2

LorqY;] laØed] ijUrq lefer ugha

Reflexive, transitive, but not symmetric

✓

3

lefer] laØed] ijUrq LorqY; ugha

Symmetric, transitive, but not reflexive

4

u rks laØed] u LorqY;] ijUrq lefer gSA

Neither transitive nor reflexive, but symmetric

Correct Answer: 2

3. ;fn A, 8 ls de le izkd`r la[;kvksa dk leqPp; gS vkSj B, 7 ls de vHkkT; la[;kvksa dk leqPp; gS] rks A vkSj B esa laca/kksa dh la[;k gSA

If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then the number of relations between A and B is:

1

29

✓

2

92

3

32

4

29-1

Correct Answer: 1

4. ;fnrFkk] rc

Ifand] then

1

0.5

✓

2

0.6

3

0.7

4

0.8

Correct Answer: 1

5. ;fn lehdj.kds ewy cjkcj ,oa foijhr fpUgksa ds gSa] rks ewyksa dk xq.kuQy gksxk\

If the roots of equationare of equal and opposite signs, then the product of the roots will be?

1

2

✓

3

4

Correct Answer: 2

6. ;fnrks &

Ifthen &

1

2

3

✓

4

Correct Answer: 3

7. k ds mu lHkh ekuksa dh la[;k tc lehdj.k fudk;ds gyksa dh la[;k vuUr gS@gSa&

The number of values of k when the number of solutions of system of equationsis infinite is-

1

0

2

1

✓

3

2

4

vuUr

Correct Answer: 2

 

8. ;fnrFkk] lehdj.k  ds nks ewy gSa] rksdk eku gSA

Ifandare the two roots of equation , then the value of

1

2

✓

2

4

3

3

4

1

Correct Answer: 1

9. ekuk a, b, c okLrfod la[;k,a gSA ekuk x, y, z ,slh okLrfod la[;k,a gS] tks lHkh 'kwU; ugha gS] rFkkrFkkrksdk eku ysa

Let there be a, b, c areal numbers. Let there be  x, y, z real numbers which are not all zero andandthen  the value of  is:

1

-1

2

0

3

1

✓

4

2

Correct Answer: 3

10. ;fn] rks A dk eku gSA

If] then the value of A is:

1

12

2

24

✓

3

-12

4

-24

Correct Answer: 2

11. ;fn] rcgSA

If] thenis:

1

A

2

✓

3

4

None of these

Correct Answer: 2

12. ;fn] gks] rc a rFkk n ds eku Øe'k% gSA

If] then the values of  a and n respectively are:

1

2,4

✓

2

2,3

3

3,6

4

1,2

Correct Answer: 1

13.ds foLrkj esadk xq.kkad gSA

The coefficient of x4 in the expansion ofis:

1

✓

2

3

4

None of these

Correct Answer: 1

14.

1

✓

2

3

4

None of these

Correct Answer: 1

15. ;fnrFkk] rks

Ifand] then

1

2

✓

3

4

None of these

Correct Answer: 2

16. O;atddk eku gSA

The value of the expression  is:

1

2

2

3

4

✓

4

Correct Answer: 3

17. ;fn f=Hkqt ABC esarks

The triangle ABC isthen

1

2

3

✓

4

None of these

Correct Answer: 3

18. ;fnrc

Ifthen

1

✓

2

3

4

None of these

Correct Answer: 1

19. ;fnrc x cjkcj gSA

Ifthen x  is equal :

1

✓

2

3

4

Correct Answer: 1

20.;fn] rc

If] then

1

xyz

✓

2

0

3

1

4

2xyz

Correct Answer: 1

21. p, q, r lekurj Js.kh esa o /kukRed gS rks oxZ lehdj.k  ds ewy oklrfod gksaxs] ;fn&

p, q, r is in arithmetic progression and positive, then the roots of quadratic equationwill be:

1

✓

2

3

lHkh p o rR ds fy,

for all p and rR

4

lHkh p o r ds fy, ugha

Not for all p and r

Correct Answer: 1

22. ,d vuUr xq.kksÙkj] ftldk izFke in a rFkk lokZuqikr r gS] dk ;ksx 4 rFkk f}rh; ingS] rc&

An infinite geometric progression, whose first term is a and common ratio is r, has a sum of 4 and second term isthen -

1

2

3

4

✓

Correct Answer: 4

23. ;ksxcjkcj gSA

The sumis equal to -

1

2

✓

3

4

Correct Answer: 2

24. vadksa 1, 2, 3, 4, 5, 6 ls rhu vadksa dh fdruh fo"ke la[;k,¡ cukbZ tk ldrh gS] ;fn vadks dh iqujko`fÙk laHko gks&

How many three-digit odd numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if repetition of digits is possible -

1

60

2

108

✓

3

36

4

30

Correct Answer: 2

25. ;fnrccjkcj gSA

Ifthenis equal to -

1

2

3

4

✓

Correct Answer: 4

26. 

1

2

✓

3

4

None of these

Correct Answer: 2

27. ;fn] rc

Ifthen

1

x=0 ij f (|x|) lrr gSA

f (|x|) is continuous x=0

2

x=0 ij f (x) lrr gSA

f (x) is continuous x=0

3

x=0 ij f (x) vlrr gSA

f (x)  is discontinuous  atx=0

✓

4

None of these

Correct Answer: 3

28. Qyu

The function

1

x=0 ij lrr~ rFk vodyuh; gSA

is continuous and differentiable at x=0

2

x=0 ij u rks lrr~ u gh vodyuh; gSA

is neither continuous nor differentiable at x=0

3

x=0 ij lrr~ ij vodyuh; ugha gSA

is continuous at x=0 but not differentiable

✓

4

x=0 ij lrr~ ugha ysfdu vodyuh; gSA

is not contious at x=0 but differentiable

Correct Answer: 3

29. ;fnrc

Ifthen

1

2

y

3

y2

✓

4

y4

Correct Answer: 3

30. ;fn] rccjkcj gSA

Ifthen isequal -

1

2

9y

3

-9y

✓

4

Correct Answer: 3

31. ;fnrFkkrc

Ifand  then

1

2

3

4

✓

Correct Answer: 4

32. oØdh Li'kZ js[kk rFkkv{k ds lekUrj js[kk dk lehdj.k gSA

The equation of the tangent to the curveand the line parallel to the x-axis is:

1

✓

2

3

4

Correct Answer: 1

33. Qyuds vUrjky (0, 9) esa mfPp"B ,oa fufEu"B eku gSA

The maximum and minimum values of function  in the interval (0, 9) is-

1

160, 0

2

60, 0

3

160, 128

✓

4

120, 28

Correct Answer: 3

34. o`Ùkdh f=T;k gSA

The radius of the circleis

1

2

✓

3

5

4

625

Correct Answer: 2

35. 

1

✓

2

3

4

none of these

Correct Answer: 1

36. ekukrc] ,d LosPNk vpj C ds fy,] J - I dk cjkcj eku gSA

Letbe an arbitrary constant, then the value of J - I for C is equal to -

1

2

3

✓

4

Correct Answer: 3

37. lekdyucjkcj gSA

Integralis equal to -

1

✓

2

3

4

Correct Answer: 1

38. 

1

2

✓

2

-2

3

4

Correct Answer: 1

39. ] (tgk¡ [.] egÙke iw.kkZad Qyu gSA½ dk eku gSA

The value of] (where [.] is the greatest integer function) is?

1

✓

2

0

3

1

4

Correct Answer: 1

40. f=Hkqt ABC ds 'kh"kZ Øe'k% (2, 1), (5, 2) vkSj (3,4) gS] rc bldk ifjdsUnz gSA

The vertices of triangle  ABC are (2, 1), (5, 2) and (3,4) respectively, then its circumcentre is -

1

2

3

4

✓

Correct Answer: 4

41. js[kkij ewy fcUnq ls Mkys x, yEc ds ikn fcUnq ds funsZ'kkad gS\

What are the coordinates of the foot point of the perpendicular drawn from the origin on the line  

1

2

✓

3

4

Correct Answer: 2

42. o`ÙkksarFkkdh mHk;fu"B Li'kZ js[kkvksa dh la[;k gSA

What is the number of common tangents to the circlesand

1

1

2

2

3

3

✓

4

4

Correct Answer: 3

43. ;fnijoy;dk vfHkyEc gS rks  K dk eku gSA

Ifis the normal to the parabolathen the value of K is -

1

3

2

9

✓

3

-9

4

-3

Correct Answer: 2

44. ekuk ,d vfrijoy;] nh?kZo`Ùkdh ukfHk;ksa ls gksdj xqtjrk gSA bl vfrijoy; ds vuqizLFk rFkk la;qXeh v{k] nh?kZo`Ùk ds y?kq rFkk nh?kZ v{kksa ds lEikrh gS rFkk fn, x, nh?kZo`Ùk rFkk vfrijoy; dh mRdsUnzrk dk xq.kuQy 1 gS] rc &

 (A) vfrijoy; dk lehdj.kgSA

 (B) vfrijoy; dh ukfHk (5, 0) gSA

 (C) vfrijoy; dk 'kh"kZgSA

 mi;qZDr esa ls lR; dFku@dFkuksa dk p;u dhft,A

Let a hyperbola pass through the foci of the ellipse. The transverse and conjugate axes of this hyperbola coincide with the minor and major axes of the ellipse and the product of eccentricity of the given ellipse and hyperbola is 1, then -

 (A) The equation of hyperbola is

 (B) the focus of the hyperbola is (5, 0)

 (C) The vertex of the hyperbola is

 Choose the true statement(s) from the above -

1

dsoy 1 o 2

Only 1 and 2

2

dsoy 1 o 3

Only 1 and 3

✓

3

dsoy 2 o 3

Only 2 and 3

4

1] 2 o 3

1, 2 and 3

Correct Answer: 2

45. la[;kvksa 31, 32, 33, ......... 46, 47 dk ekud fopyu gSA

The standard deviation of the number 31, 32, 33, ......... 46, 47

1

2

3

✓

4

Correct Answer: 3

46. ,d f[kykM+h viuh 16oha ikjh esa 70 juksa dk Ldksj cukrk gSA mlds ckn mldk vkSlr 2 juksa ls c<+ tkrk gSA ;fn og dHkh Hkh vkmV ugha gksrk gS] rc 16oha ikjh ds ckn mldk vkSlr gSA

A player scores 70 runs in his 16th innings. After that his average increases by 2 runs. If he never gets out, then what is his average after the 16th innings.

1

36

2

38

3

40

✓

4

42

Correct Answer: 3

47. xf.kr dk ,d iz'u rhu fo|kfFkZ;ksa dks gy djus ds fy, fn;k x;k gS ftudh mldks gy djus dh laHkkouk;sa Øe'k%rFkkgSA iz'u gy gks tkus dh izkf;drk gSA

A mathematics problem is given to three students to solve whose chances of solving it areandrespectively. The probability of solving the problem is -

1

2

3

4

✓

Correct Answer: 4

48. ;fn fdlh f}in pj X ds ek/; o fopj.k Øe'k% 2 o 1 gS rks X ds 1 ls vf/kd eku izkIr djus dh izkf;drk gSA

If the mean and variance of a binomial variable X are 2 and 1 respectively, then what is the probability of X getting a value greater than 1?

1

2

3

4

✓

Correct Answer: 4

49. ;fn a, b, c vleryh; bdkbZ lfn'k bl izdkj gS fd] rks a o b ds chp dks.k gSA

If a, b, c is a Non-planar unit vector such that] then the angle between a and b is

1

✓

2

3

4

Correct Answer: 1

50. ;fnrFkkyacor~ gS rkscjkcj gSA

Ifandare perpendicular thenis equal to -

1

2

3

4

✓

Correct Answer: 4

51. js[kkrFkkdk izfrPNsnu fcUnq fuEu esa ls fdl js[kk ij fLFkr gSA

The point of intersection of lineand planelies on which of the following lines?

1

2

3

✓

4

Correct Answer: 3

52. js[kkvksarFkkdks varfoZ"V djrs gq, lery ij fcUnq (2, 1, 4) ls Mkys x, yEc dh yEckbZ gSA

The length of the perpendicular drawn from the point (2, 1, 4) on the plane containing linesand               is -

1

✓

2

3

4

3

Correct Answer: 1

53. js[kkvksarFkkds chp dh U;wure nwjh gSA

The minimum distance between linesand  is -

1

2

✓

3

0

4

Correct Answer: 2

54. ekuk H vkSj K ,d lewg G ds izlkekU; milewg gS rc&

Suppose H and K are normal subgrous of a group G, then -

1

dk lkekU; milewg gSA

is a normal subgroup of G

2

dk lkekU; milewg gSA

is a normal subgroup of G

3

1 o 2 nksuksa lR; gSA

Both 1 and 2 are ture

✓

4

dk lkekU; milewg gSA

is a normal subgroup of K

Correct Answer: 3

55. ;fn G = (Z, +) rFkk H = (4Z , +) gS rc foHkkx lewg G|H esa dksfV 2 vo;oksa dh la[;k gSA

If G = (Z, +) and H = (4Z , +) then the number of order 2 elements in division group G|H is -

1

0

2

1

✓

3

4

4

3

Correct Answer: 2

56. Js.khgksxh&

Serieswill be -

1

vfHklkjh

Converging

✓

2

vilkjh

Diverging

3

nksyuh

Oscillating

4

buesa ls dksbZ ugha

None of these

Correct Answer: 1

57. fuEu esa ls lgh dFku gSA

Which of the following is correct statement -

 

1

dks'kh vuqØe gS ijarqdks'kh vuqØe ugha gSA

 

✓

2

dks'kh vuqØe ugh gS ijarqdks'kh vuqØe gSA

 

3

nksuksa vuqØeodks'kh vuqØe gSA

 

4

nksuksa vuqØeodks'kh vuqØe ugha gSA

 

Correct Answer: 1

58. ;fn u (x, y) = 2xy + 2x fo'ysf"kd Qyu f (z) dk okLrfod Hkkx rks u (x, y) dk izlaoknh la;qXeh gksxk\

If u (x, y) = 2xy + 2x is the real part of the analytical function f (z), then the consistent conjugate of  u (x, y) will be -

1

2

3

✓

4

Correct Answer: 3

59. f}jSf[kd :ikarj.kds fLFkj fcUnq gksxsaA

The stationary points of bilinear transformation  will be -

1

i, i

✓

2

i

3

1i

4

2i

Correct Answer: 1

60. izfrfp=.kds varxZr z-lery esa] w-lery esa fuEu esa ls fdl oØ ij izfrfp=.k gksrk gSA

Under mappingin z-plane to] w-plane, which of the following curves is mapped -

1

,d ljy js[kk ij

On a straight line

2

,d ijoy; ij

On a parabola

✓

3

,d nh?kZo`Ùk ij

On an ellipse

4

,d vfrijoy; ij

On a hyperbola

Correct Answer: 2

61. ds vodyt dk vfLrRo gSA

The derivatives ofexists -

1

lHkh okLrfod ekuksa ds fy,

For all real values

2

ewy fcUnq ij

At the origin

✓

3

ewy fcUnq ij ugha

Not at the origin

4

buesa ls dksbZ ugh

none of these

Correct Answer: 2

62. ;fngS rccjkcj gSA

Ifthenis equal to-

1

0

2

1

3

2

✓

4

3

Correct Answer: 3

63. oØds vuarLif'kZ;ksa dh la[;k gSA

The number of asymptotes of curveis -

1

vuarLi'khZ laHko ugha

Asymptotes not possible

2

1

✓

3

vuar vuarLi'khZ

Infinite asymptotes

4

2

Correct Answer: 2

64. ;fngks rkscjkcj gSA

Ifthenis equal -

1

0

✓

2

1

3

u

4

xyz

Correct Answer: 1

65. ljy js[kkvksa ds dqydk vUokyksi tcfd a izkpy gS] gksxk&

The total envelope of  of straight line while the parameter is a, will be -

1

o`Ùk

Circle

✓

2

nh?kZo`Ùk

Ellipse

3

vfrijoy;

Hyperbola

4

ijoy;

Parabola

Correct Answer: 1

66. }kjk ifjc) f=Hkqt ij ifjHkkf"krdk eku gksxk\

The value of  defined on the triangle circumscribed by  will be -

1

ab

2

a/b

3

4

1/ab

✓

Correct Answer: 4

67. vody lehdj.kdk gy gSA

1

2

3

✓

4

Correct Answer: 3

68. dk gy gSA

1

2

✓

3

4

None of these

Correct Answer: 2

69. lkekU; ladsrksa esa]vkSjds fy,] csly vUrosZ'ku lw= }kjkdk yxHkx eku gSA

In common notation, for

  andthe approximate value of  by Bessel interpolation formula is -

1

33.4

2

32.2

3

32.8

✓

4

33.9

Correct Answer: 3

70. ;fnrc &

Ifthen &

1

2

3

✓

4

Correct Answer: 3

71. ;fnvkSjrcgSA

Ifandthenis -

1

dsoy S1 ds cjkcj

Only equal to S1

✓

2

dsoy S2 ds cjkcj

Only equal to S2

3

nksuksa S1 o S2 ds cjkcj

Both equal to S1 and S2

4

u rks S1 ds uk S2 ds cjkcj

Neither equal to S1 nor to S2

Correct Answer: 1

72. ;fnrFkkds vodyuh; Qyu gS rFkkgksxk\

Ifandare differentiable functions ofandis?

 

1

lnSo ifjukfyd lfn'k

Always solenoidal vector

✓

2

lnSo ?kw.khZ; lfn'k

Always rotatable vector

3

lnSo v?kw.khZ; lfn'k

Always irreversible vector

4

buesa ls dksbZ ugha

None of these

Correct Answer: 1

73. ml xksys dk lehdj.k ftldk dsUnzgS rFkk lerydks Li'kZ djrk gSA

The equation of the spehre whose centre isand touches the planeis -

1

✓

2

3

4

Correct Answer: 1

 

74. ml o`Ùk dh f=T;k ftlesa lery] xksykdks dkVrk gSA

What is the radius of the circle in which plane, cuts sphere 

1

5

2

3

✓

3

2

4

6

Correct Answer: 2

 

75. 'kadq dk lehdj.k ftldk 'kh"kZ (0,0,0) v)Z'kh"kZ dks.k 300 gS rFkk v{k funsZ'kh v{kksa ls leku dks.k cukrk gSA

Equation of a cone with apex (0, 0, 0) and semi-apex angle 300 and axes making equal angles with directrix axes is -

1

2

3

✓

4

Correct Answer: 3

76. csyu dk lehdj.k ftldk v{krFkk funsZ'kd oØ]  gSA

The equation of a cylinder whose axis isand directrix curve is]is-

1

✓

2

3

4

Correct Answer: 1

77. ;fn n ,d izkd`r la[;k gS rks (92n-42n) ges'kk HkkT; gSA

If n is a natural number, then is (92n-42n) always divisible by?

1

dsoy 5 ls

Only by 5

2

dsoy 4 ls

Only by 4

3

dsoy 9 ls

Only by 9

4

5 rFkk 13 ls

Ony 5 and 13

✓

Correct Answer: 4

78. ,d la[;k 72 dk xq.kuQy mlh la[;k rFkk 27 ds xq.kuQy ls 360 T;knk gS] la[;k Kkr dhft,&

The product of a number and 72 is 360 more than the product of the same number and 27. Find the number.

1

7

2

8

✓

3

11

4

12

Correct Answer: 2

79. fuEu esa ls dkSulh ,d okLrfod la[;k ugha gSA

Which one of the following is not a real number?

1

2

✓

3

4

Correct Answer: 2

80. xSj lkar] xSj iqujkorZ okys n'keyoksa dks oxhZd`r fd;k tkrk gSA

Non-terminating, non-repeating decimals are classified as?

1

vifjes; la[;k

Irrational Number

✓

2

izkd`frd la[;k

Natural Number

3

ifjes; la[;k

Rational Number

4

iw.kZ la[;k esa

Whole Number

Correct Answer: 1

81. lehdj.kesa x dk eku gksxkA

The value of x in the equationis.

1

2

1

3

✓

4

2

Correct Answer: 3

82. ;fndk ,d xq.kd gS rks] k dk eku cjkcj gSA

Ifis a multiple, then the value of k is equal to?

1

3

2

2

3

-3

✓

4

-2

Correct Answer: 3

83. ;fngks rks xy = ?

Ifis a multiple of then xy = ?

1

✓

2

3

4

Correct Answer: 1

84. cgqinds 'kwU;dksa dh la[;k gSA

The number of zeroes of the polynomial

1

1

2

2

✓

3

3

4

0

Correct Answer: 2

85. ;fn la[;k x dk 3 lcls NksVk vHkkT; xq.ku[k.M gks vkSj la[;k y dk 7 lcls NksVk vHkkT; xq.ku[k.M gks rks ( x + y) dk lcls NksVk vHkkT; xq.ku[k.M cjkcj gSA

If 3 is the smallest prime factor of x and 7 is the smallest prime factor of y, then the smallest prime factor of  ( x + y) is equal to -

1

7

2

10

3

2

✓

4

3

Correct Answer: 3

86. ml dks.k dh eki ftlds lEiwjd dks.k dh eki mlds iwjd dks.k dh eki ds pkj xquk ds cjkcj gS] fuEu gS\

The measure of an angle whose supplementary angle has a measure equal to four times the measure of its complementary angle is?

1

700

2

300

3

450

4

600

✓

Correct Answer: 4

87. f=Hkqt PQR dh nks ekf/;dk,a PS vkSj RT, G ij ledks.k ij izfrPNsn djrh gSA ;fn PS = 9 lseh vkSj RT = 6 lseh- gS rks RS dh yEckbZ gS\

The medians of triangle PQR,a PS and RT, intersect at right angles at G. If PS=9 cm and RT=6cm, then the length of RS is -

1

10 cm

2

6 cm

3

5 cm

✓

4

3 cm

Correct Answer: 3

88. ,d leprqHkqZt dk {ks=Qy 256 lseh2 gSA ;fn blds ,d fod.kZ dh yEckbZ nwljs fod.kZ dh yEckbZ dh  vk/kh gks rks fod.kksZa dh yEckbZ dk ;ksx gksxk\

The area of a rhombus is 256 cm2. If the length of one of its diagonals is half the length of the other diagonal, then the sum of the lengths of the diagonals will be?

1

38 cm

2

48 cm

✓

3

28 cm

4

56 cm

Correct Answer: 2

89. nh xbZ vkd`fr esa] O o`Øks dk dsUnz gS]Kkr dhft,&

In the given figure, O is the centre of the circle, find=?

1

1400

2

500

✓

3

400

4

1300

Correct Answer: 2

90. f=Hkqt ABC rFkk f=Hkqt DEF esa ;fnrks muds {ks=Qyksa dk vuqikr gksxk&

If triangle ABC and triangle DEF then the ratio of their areas will be -

1

3 : 5

2

9 : 25

✓

3

16 : 25

4

5 : 3

Correct Answer: 2

91. ;fn fdlh o`Ùk dh ifjf/k mlds O;kl ls 16-8 lseh   vf/kd gS rks o`Ùk dk O;kl fdruk gSA

If the circumference of a circle is 16.8 cm more than its diameter then what will be the diameter of the circle?

1

6.54 lseh-

2

6.84 lseh-

3

7.54 lseh-

4

7.84 lseh-

✓

Correct Answer: 4

92. ,d /kukHk dh yEckbZ] pkSM+kbZ ,oa ÅpkbZ dk ;ksx x lseh- gS vkSj mlds fod.kZ dh yEckbZ y lseh gS rks bldk lEiw.kZ i`"Bh; {ks=Qy gksxk\

The sum of the length, breadth and height of a cuboid is x cm and the length of its diagonal is y cm. Then its total surface area will be?

1

2

3

✓

4

Correct Answer: 3

93. vk/kkj f=T;k 4 lseh- rFkk 90 lseh- yEcs ,d Bksl yEco`Ùkh; csyu dks fi?kykdj 6 lseh- f=T;k okys fdrus Bksl xksys cuk;s tkrs gS\

How many solid spheres of radius 6 cm can be made by melting a solid right circular cylinder of base radius 4 cm and length 90 cm?

1

9

2

7

3

6

4

5

✓

Correct Answer: 4

94. nks 'kadqvksa ds vk;rku dk vuqikr 4 % 25 gS vkSj mudh Å¡pkbZ;ksa dk vuqikr 25 % 64 gS rks muds vk/kkj dh f=T;kvksa dk vuqikr gSA

The ratio of the volumes of two cones is 4 : 25 and the ratio of their heights is 25 : 64. Then the ratio of the radii of their base is?

1

3 : 4

2

5 : 7

3

4 : 9

4

16 : 25

✓

Correct Answer: 4

95. ;fnrc

Ifthen

1

abc

2

3abc

3

-3abc

✓

4

0

Correct Answer: 3

96. ,d leckgq f=Hkqt dh izR;sd Hkqtk 8 lseh- gS] bldk {ks=Qy gksxk\

Each side of an equilateral triangle is 8 cm. What will be its area?

1

oxZ lseh-

2

oxZ lseh-

✓

3

21 oxZ lseh-

4

34 lseh-

Correct Answer: 2

97. ekuk a, b rFkk c ,d lekUrj Js.kh ¼tks fd vpj lekurj Js.kh ugha gS½ ds Øe'k% 7osa] 11osa rFkk 13osa in gSA ;fn ;s ,d xq.kksÙkj Js.kh ds Hkh rhu Øekxr in gSa] rkscjkcj gSA

Let a, b and c the 7th, 11th and 13th terms respectively of an AP (Which is not a constant AP). If these are also three consecutive terms of a geometric seriesis equal to:

1

2

4

✓

3

2

4

Correct Answer: 2

98. ;fnds izlkj esa xq.kkadksa dk ;ksxQy 'kwU; gS] rc a dk eku gSA

If the sum of the coefficients in the expansion ofis zero, then the value of a is:

1

2

2

1

3

1

✓

4

-2

Correct Answer: 3

99. ;fn jSf[kd lehdj.k fudk;

 

  dk ,d 'kwU;srj gy (x, y, z) gS] rkscjkcj gSA

If (x,y,z) is a non zero solution of the system of linear equations

 

  thenis equal to-

1

10

✓

2

-30

3

30

4

-10

Correct Answer: 1

100. xqziesa vo;o 3 ls tfur pØh; milewg esa vo;oksa dh la[;k gSA

The number of elements in the cyclic subgroup generated by element 3 in groupis -

1

5

2

10

✓

3

6

4

15

Correct Answer: 2

101. xyr dFku gSA

The incorrect statement is :

1

pØh; xzqi dk izR;sd mixzqi pfØ; gksrk gSA 

Every subgroup of a cyclic group is cyclic.

2

vcsfy;u xzqi dk izR;sd mixzqi vcsfy;u gksrk gSA

Every subgroup of an abelian group is abelian.

3

;fn xzqi G dk izR;sd mfpr mixzqi pfØ; gks rks  xzqi G Hkh pfØ; gksrk gSA

If every proper subgroup of a group G is cyclic then the group G is also cyclic.

✓

4

xzqi G dk izR;sd mixqzi vcsfy;u gks rks xzqi     G Hkh vcsfy;u gksrk gSAIf every subgroup of a group G is abelian then    the group G is also abelian.

Correct Answer: 3

102. fuEu esa ls lR; dFku gSA

Which of the following is a true statement :

1

dksfV 11 dk izR;sd xzqi pØh; gksrk gSA

Every group of order 11 is cyclic.

✓

2

dksfV 111 dk izR;sd xqzi pØh; gksrk gSA

Every group of order 111 is cyclic.

3

dksfV 1111 dk izR;sd xzqi pØh; gksrk gSA

Every group of order 1111 is cyclic.

4

mijksDr LkHkh

All of the above

Correct Answer: 1

103. ds izfrykseh gksxsaA

The inversion ofwill be:

1

1

2

2

3

3

✓

4

4

Correct Answer: 3

104. dksfV 105 ds ifjfer lewg G dk ,d mfpr milewg N gS rks foHkkx lewgfo|eku gksxk ;fn

A proper subgroup of finite group G of order 105 is N then the quotient groupwill exist if

1

3

✓

2

5

3

7

4

35

Correct Answer: 1

105. Qyudk vkorZ gSA

The functionhas a period of:

1

2

3

4

✓

Correct Answer: 4

106. Qyuds fy, ySaxjkt e/;eku izes; esa c dk eku gSA

The value of c in the Langrage mean value theorem for the function is -

1

2

3

4

✓

Correct Answer: 4

107. dk eku gSA

find the value of

1

2

3

✓

4

Correct Answer: 3

108. 

1

2

3

4

✓

Correct Answer: 4

109. ;fn js[kkvfrijoy;dks Li'kZ djrh gS] rc Li'kZ fcUnq gSA

The linetouches the hyperbola  then the point of contact is:

1

2

3

4

✓

Correct Answer: 4

110. nh?kZo`Ùkdh ukfHk;ksa ls gksdj tkus okys ml o`Ùk] ftldk dsUnz (0, 3) gSA

The equation of the circle passing though the foci of ellipse  and having centre (0, 3) is

1

✓

2

3

4

Correct Answer: 1

111. lfn'kksavkSjds leryh; rFkk lfn'kds lekUrj lfn'k gSA

Which vector is coplanar with vectorsandand parallel to vector 

1

2

✓

3

4

Correct Answer: 2

112. fcUnq (1, 2, 3) dk ,d lery esa izfrfcEcgSA fuEu esa ls dkSulk fcUnq bl lery ij fLFkr gSA

The image of the point (1, 2, 3) in a plane is. Which of the following points lies on this plane.

1

2

3

4

(1,-1,1)

✓

Correct Answer: 4

113. tgk¡ C ,d o`ÙkgS]  dk eku gksxk&

The value ofwhere C is a circle, will be -

1

0

✓

2

1

3

4

Correct Answer: 1

114. Qyu}kjkdkds lery esa izfrfp=.k gksxk&

The mapping of x + y = 1 by function w = 2z in the w-plane will be :

1

u = 2

2

v + u = 1

3

v + u =2

✓

4

buesa ls dksbZ ugha

Correct Answer: 3

115. ;qxir vody lehdj.kds gy esadk eku gSA

The value of y in the solution of simultaneous differential equationis -

1

✓

2

3

4

None of these

Correct Answer: 1

116. js[kk'kadqdh tud js[kk gksxh] ;fn&

Linewill be the generating line of the cone, if -

1

2

3

✓

4

Correct Answer: 3

117. nh xbZ jSf[kd izksxzkfeax leL;k %

 U;wure  

 izfrca/k  

         

  ds fy, izFke flEiysUl lkj.kh esa eq[; vo;o gSA

Given linear programming problem

 Minimize  

 restriction, 

          

 then key element in first simplex table will be-

1

2

2

3

3

4

✓

4

8

Correct Answer: 3

118. If the integrating factor ofis  is:

lekdyu xq.kdgS] rc

1

✓

2

3

4

Correct Answer: 1

119. What is the solution of the differential equation

vody lehdj.k  dk gy gS %

 

1

✓

2

3

4

for some constant k

Correct Answer: 1

120. What is the value of the particular integral of

fo'ks"k lekdyu dk eku gS %

 

1

2

3

✓

4

None

Correct Answer: 3

121. ;fnØe dh eSfVªDldk lg[k.Mt gS rFkkrcdk eku gS &

 Ifmatrices of order ofis a adjoint andthen value of 

 

1

5

✓

2

6

3

11

4

10

Correct Answer: 1

121. tgk¡rc

wherethen

1

✓

2

3

4

Correct Answer: 1

122. ;fn C oØrFkkls ifjc) {ks=Qy dh ifjlhek gS rcdk eku gS &

If C is the boundary of the origin bounded by the curvesand, then the value of

1

✓

2

3

4

Correct Answer: 1

123. u;ru leL;k &

Determination problem-

1

pkgrh gS fd izR;sd lalk/ku dks dsoy ,d xfrfof/k lkSaih tk;s

requires that each resource be assigned only one activity

2

ifjogu leL;k dh fo'ks"k fLFkrh gS

transportation problem is a special case.

3

lalk/kuks dk vf/kdre iz;ksx djus esa iz;ksx dh tk ldrh gS

can be used to make optimum use of resources.

4

lHkh

all

✓

Correct Answer: 4

124. :ikUrj.kds vUrZxr o`Ùkdk izfrfcEc gS

Under the transformationimage of the circle  is -

1

2

✓

3

4

Correct Answer: 2

125. dk gy

Solution of  is -

1

✓

2

3

4

Correct Answer: 1

126. dk gy

Solution of  is -

1

2

3

✓

4

Correct Answer: 3

127. ;fnrksgksxk &

¼ls xy ry ds Åij f?kjk {ks= gS½

Ifthen will be -

 ¼ S is the region bounded by x2+y2=4-z above the xy plane½

1

2

3

4

✓

Correct Answer: 4

128. 

1

✓

2

3

4

Correct Answer: 1

129. dk fo'ks"k lekdy gS &

The particular integral of

1

2

✓

3

4

Correct Answer: 2