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SSC Mathematics Topic Wise Solved Papers – Geometry

April 13, 2018 by Veerendra Leave a Comment

SSC Mathematics Topic Wise Solved Papers – Geometry

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

1. ABCD is a quadrilateral in which diagonal BD = 64 cm, AL ⊥ BD and CM ⊥ BD, such that AL = 13.2 cm and CM = 16.8 cm. The area of the quadrilateral ABCD in square centimetres is (SSC Sub. Ins. 2012)

(a) 537.6
(b) 960.0
(c) 422.4
(d) 690.0

2. In ∆ABC, ∠B = 60°, ∠C = 40° If AD bisects ∠BAC and AE ⊥ BC, then ∠EAD is (SSC Sub. Ins. 2012)
(a) 40°
(b) 80°
(c) 10°
(d) 20°

3. In the figure below, if AB || CD and CE ⊥ED then the value of x is (SSC Sub. Ins. 2012)

(a) 37
(b) 45
(c) 53
(d) 63

4. PA and PB are two tangents drawn from an external point P to a circle with centre O where the points A and B are the points of contact. The quadrilateral OAPB must be (SSC Sub. Ins. 2012)
(a) a square
(b) concylic
(c) a rectangle
(d) a rhombus

5. G is the centroid of ∆ABC. If AG = BC, then ∠BGC is (SSC Sub. Ins. 2012)
(a) 60°
(b) 120°
(c) 90°
(d) 30°

6. In the following figure, if OA = 10 and AC = 16, then OB must be (SSC Sub. Ins. 2012)

(a) 3
(b) 4
(c) 5
(d) 6

7. If in ∆ABC, ∠A = 90°, BC = a, AC = b and AB = c, then the value of tan B + tan C is (SSC Sub. Ins. 2012)

8. ABC is a right angled triangle, right angled at C and p is the length of the perpendicular from C on AB. If a, b and c are the lengths of the sides BC, CA and AB respectively, then (SSC CHSL 2012)

9. If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm, then AB is: (SSC CHSL 2012)
(a) 5 cm
(b) 10 cm
(c) 5√2 cm
(d) 2.5 cm

10. The length of the two sides forming the right angle of a right-angled triangle are 6 cm and 8 cm. The length of its circum-radius is: (SSC CHSL 2012)
(a) 5 cm
(b) 7 cm
(c) 6 cm
(d) 10 cm

11. The length of radius of a circumcircle of a triangle having sides 3 cm, 4 cm and 5 cm is: (SSC CHSL 2012)
(a) 2 cm
(b) 2.5 cm
(c) 3 cm
(d) 1.5 cm

12. A, O, B are three points on a line segment and C is a point not lying on AOB. If ∠AOC = 40° and OX, OY are the internal and external bisectors of ∠AOC respectively, then ∠BOY is (SSC CGL 1st Sit. 2012)
(a) 70°
(b) 80°
(c) 72°
(d) 68°

13. In the following figure, O is the centre of the circle and XO is perpendicular to OY. If the area of the triangle XOY is 32, then the area of the circle is (SSC CGL 1st Sit. 2012)

(a) 64 π
(b) 256 π
(c) 16 π
(d) 32 π

14. The side BC of ∆ ABC is produced to D. If ∠ACD = 108° and ∠B = 1/2 ∠A then ∠A is 2 (SSC CGL 1st Sit. 2012)
(a) 36°
(b) 72°
(c) 108°
(d) 59°

15. Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the points P and Q respectively. They the area of a square with one side PQ, is (SSC CGL 1st Sit. 2012)
(a) 97 sq. cm
(b) 194 sq. cm
(c) 72 sq.cm
(d) 144 sq.cm

16. Two tangents are drawn from a point Pto a circle at A and B. 0 is the centre of the circle. If ∠AOP = 60°, then ∠ APB is (SSC CGL 1st Sit. 2012)
(a) 120°
(b) 90°
(c) 60°
(d) 30°

17. If each intetior angle is double of each exterior angle of a regular polygon with n sides, then the value of n is (SSC CGL 1st Sit. 2012)
(a) 8
(b) 10
(c) 5
(d) 6

18. If the length of the side PQ of the rhombus PQRS is 6 cm and ∠PQR= 120°, then the length of QS, in cm, is
(SSC CGL 1st Sit. 2012)
(a) 4
(b) 6
(c) 3
(d) 5

19. The angle formed by the hour-hand and the minute-hand of a clock at 2:15 p.m. is (SSC CGL 1st Sit. 2012)
(a) 27°
(b) 45°
(c) 22
(d) 30°

20. Two sides of a triangle are of length 4 cm and 10 cm. If the length of the third side is ‘a’ cm. then (SSC CGL 1st Sit. 2012)
(a) a>5
(b) 6≤a≤12
(c) a<5
(d) 6<a< 14

21. In ∆ABC, AD is the median and AD = 1/2 BC.If ∠BAD = 30°, then measure of ∠ACB is (SSC CGL 1st Sit. 2012)
(a) 90°
(b) 45°
(c) 30°
(d) 60°

22. The perimeter of an isosceles, right-angled triangle is 2p unit. The area of the same triangle is: (SSC CGL 2nd Sit. 2012)

23. ∆ABC and ∆DEF are similar and their areas be respectively 64 cm² and 121 cm². If EF = 15.4 cm, BC is: (SSC CGL 2nd Sit. 2012)
(a) 12.3 cm
(b) 11.2 cm
(c) 12.1 an
(d) 11.0 cm

24. If G is the centroid of ∆ABC and AG = BC, then ∠BGC is: (SSC CGL 2nd Sit. 2012)
(a) 75°
(b) 45°
(c) 90°
(d) 60°

25. By decreasing 15° of each angle of a triangle, the ratios of their angles are 2 : 3 : 5. The radian measure of greatest angle is: (SSC CGL 2nd Sit. 2012)

26. O is the circum centre of the triangle ABC with circumradius 13 cm. Let BC = 24 cm and OD is perpendicular to BC. Then the length of OD is: (SSC CGL 2nd Sit. 2012)
(a) 7 cm
(b) 3 cm
(c) 4 cm
(d) 5 on

27. D and E are the mid-points of AB and AC of ∆ABC; BC is produced to any point P; DE, DP and EP are joined. Then, (SSC CGL 2nd Sit. 2012)

28. The length of the common chord of two circles of radii 15 cm and 20 cm whose centres are 25 cm apart is (in cm): (SSC CGL 2nd Sit. 2012)
(a) 20
(b) 24
(c) 25
(d) 15

29. AB is a diameter of a circle with centre O. CD is a chord equal to the radius of the circle. AC and BD are produced to meet at P. Then the measure of ∠APB is: (SSC CGL 2nd Sit. 2012)
(a) 120°
(b) 30°
(c) 60°
(d) 90°

30. R and r are the radius of two circles (R > r). If the distance between the centre of the two circles be d, then length of common tangent of two circles is: (SSC CGL 2nd Sit. 2012)

31. P is a point outside a circle and is 13 cm away from its centre. A secant drawn from the point P intersect the circle at points A and B in such a way that PA = 9 cm and AB = 7 cm. The radius of the circle is: (SSC CGL 2nd Sit. 2012)
(a) 5.5 on
(b) 5 cm
(c) 4 cm
(d) 4.5 cm

32. The perimeters of two similar triangle ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is: (SSC CGL 2nd Sit. 2012)
(a) 25 cm
(b) 10 cm
(c) 15 cm
(d) 20 cm

33. In an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is the orthocenter. If ∠BOC = 54°, then ∠BAC is (SSC CGL 1st Sit. 2012)
(a) 108°
(b) 126°
(c) 136°
(d) 116°

34. If the ratio of areas of two similar triangles is 9:16, then the ratio of their corresponding sides is (SSC CGL 1st Sit. 2012)
(a) 3:5
(b) 3:4
(c) 4:5
(d) 4:3

35. Let BE and CF the two medians of a ∆ABC and G be their intersection. Also let EF cut AG at O. Then AO : OG is (SSC CGL 1st Sit 2012)
(a) 1:1
(b) 1:2
(c) 2:1
(d) 3:1

36. If S is the circumcentre of ∆ABC and ∠A = 50°, then the value of ∠BCS is (SSC CGL 1st Sit. 2012)
(a) 20°
(b) 40°
(c) 60°
(d) 80°

37. AC and BC are two equal chords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then (SSC CGL 1st Sit. 2012)
(a) CT: TP=AB : CA
(b) CT:TP = CA:AB
(c) CT: CB = CA: CP
(d) CT:CB = CP:CA

38. PQ is a direct common tangent of two circles of radii r₁ and r₂ touching each other externally at A. Then the value of

39. BC is the chord of a circle with centre O. A is a point on major arc BC as shown in the above figure. What is the value of ∠BAC + ∠OBC ? (SSC CGL 1st Sit 2012)

(a) 120°
(b) 60°
(c) 90°
(d) 180°

40. Two circles with radii 5 cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, then AP: AQ is (SSC CGL 1st Sit 2012)
(a) 8:5
(b) 5:8
(c) 3:4
(d) 4:5

41. If I is the In-centre of ∆ABC and ∠A = 60°, then the value of ∠BIC is (SSC CGL 1st Sit. 2012)
(a) 100°
(b) 120°
(c) 150°
(d) 110°

42. The external bisectors of ∠B and ∠C of ∆ABC meet at point P. If ∠BAC = 80°, then ∠BPC is (SSC CGL 1st Sit 2012)
(a) 50°
(b) 40°
(c) 80°
(d) 100°

43. When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx) (SSC CGL 1st Sit 2012)
(a) 18°25′
(b) 18°35′
(c) 18°20′
(d) 18°08′

44. A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 metres? (SSC CGL 1st Sit 2012)
(a) 91.64 metres
(b) 90.46 metres
(c) 89.64 metres
(d) 93.64 metres

45. The radius of the circumcircle of the triangle made by x-axis, y-axis and 4x + 3y = 12 is (SSC CGL 2nd Sit 2012)
(a) 2 unit
(b) 2.5 unit
(c) 3 unit
(d) 4 unit

46. The length of the circum-radius of a triangle having sides of lengths 12 cm, 16 cm and 20 cm is (SSC CGL 2nd Sit. 2012)
(a) 15 cm
(b) 10 cm
(c) 18 cm
(d) 16 cm

47. If D is the mid-point of the side BC of ∆ABC and the area of ∆ABD is 16 cm2, then the area of ∆ABC is (SSC CGL 2nd Sit 2012)
(a) 16 cm2
(b) 24 cm2
(c) 32 cm2
(d) 48 cm2

48. ABC is a triangle. The medians CD and BE intersect each other at O. Then A ODE: ∆ABC is (SSC CGL 2nd Sit. 2012)
(a) 1:3
(b) 1:4
(c) 1:6
(d) 1:12

49. If P, R, Tare the area of a parallelogram, a rhombus and a triangle standing on the same base and between the same parallels, which of the following is true? (SSC CGL 2nd Sit. 2012)
(a) R<P<T
(b) P>R>T
(c) R = P = T
(d) R = P = 2T

50. AB is a diameter of the circumcircle of ∆APB; N is the foot of the perpendicular drawn from the point P on AB. If AP = 8 cm and BP = 6 cm, then the length of BN is (SSC CGL 2nd Sit. 2012)
(a) 3.6 cm
(b) 3 cm
(c) 3.4 cm
(d) 3.5 cm

51. Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is (SSC CGL 2nd Sit. 2012)

52. The bisector of ∠A of ∆ABC cuts BC at D and the circumcircle of the triangle at E. Then (SSC CGL 2nd Sit. 2012)
(a) AB: AC = BD: DC
(b) AD: AC = AE: AB
(c) AB:AD=AC:AE
(d) AB: AD =AE:AC

53. Two circles intersect each other at P and Q. PA and PB are two diameters. Then ∠AQB is (SSC CGL 2nd Sit. 2012)
(a) 120°
(b) 135°
(c) 160°
(d) 180°

54. O is the centre of the circle passing through the points A, B and Csuch that ∠BAO= 30°, ∠BCO= 40° and ∠AOC = x°. What is the value of x ? (SSC CGL 2nd Sit. 2012)
(a) 70°
(b) 140°
(c) 210°
(d) 280°

55. A and B are centres of the two circles whose radii are 5 cm and 2 cm respectively. The direct common tangents to the circles meet AB extended at P. Then P divides AB. (SSC CGL 2nd Sit. 2012)
(a) externally in the ratio 5:2
(b) internally in the ratio 2:5
(c) . internally in the ratio 5:2
(d) externally in the ratio 7:2

56. A wheel rotates 3.5 times in one second. What time (in seconds) does the wheel take to rotate 55 radian of angle? (SSC CGL 2nd Sit. 2012)
(a) 1.5
(b) 2.5
(c) 3.5
(d) 4.5

57. If area of an equilateral triangle is A and height b, then

58. Triangle PQR circumscribes a circle with centre O and radius rcm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is : (SSC Sub. Ins. 2013)
(a) 2
(b) 1.5
(c) 2.5
(d) 1

59. In the following figure. AB be diameter of a circle whose centre is O. If ∠AOE = 150°. ∠DAO = 51° then the measure of∠CBE is: (SSC Sub. Ins. 2013)

60. The areas of two similar triangles ABC and DEF are 20 cm² and 45 cm² respectively. If AB = 5 cm. then DE is equal to: (SSC Sub. Ins. 2013)
(a) 6.5 cm
(b) 7.5 cm
(c) 8.5 cm
(d) 5.5 cm

61. In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD = 111° and ∠ ACB = 80°, then the measure of ∠ABC is: (SSC Sub. Ins. 2013)
(a) 31°
(b) 33°
(c) 35°
(d) 29°

62. In∆ABC ∠A+∠B = 145° and ∠C+2∠B= 180°. Statewhich one of the following relations is true? (SSC Sub. Ins. 2013)
(a) CA=AB
(b) CA<AB
(c) BC>AB
(d) CA>AB

63. From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to diameter of the circle, then ∠APB is (SSC CHSL 2013)
(a) 60°
(b) 45°
(c) 90°
(d) 30°

64. A chord 12 cm long is drawn in a circle of diameter 20 cm. The distance of the chord from the centre is (SSG CHSL 2013)
(a) 16 cm
(b) 8 cm
(c) 6 cm
(d) 10 cm

65. 360 sq. cm and 250 sq. cm are the areas of two similar triangles. Ifthe length of one of the sides of the first triangle be 8 cm, then the length of the corresponding side of the 2nd triangle is (SSC CHSL 2013)

66. If in ∆ABC, ∠ABC = 5∠ACB and ∠ BAC = 3 ∠ACB, then ∠ABC= (SSC CHSL 2013)
(a) 120°
(b) 130°
(c) 80°
(d) 100°

67. The perpendiculars, drawn from the vertices to the opposite sides of a triangle, meet at the point whose name is (SSC CHSL 2013)
(a) orthocentre
(b) incentre
(c) circumcentre
(d) centroid

68. If ∆ABC is similar to ADEF such that BC = 3 cm, EF = 4 cm and area of ∆ABC = 54 cm2, then the area of ADEF is: (SSC CGL 1st Sit 2013)
(a) 54 cm2
(b) 66 cm2
(c) 78 cm2
(d) 96 cm2

69. A chord AB of a circle C₁ of radius (√3 +1) cm touches a circle C₂ which is concentric to C₁. If the radius of C₂ is

70. In a triangle ABC, AB = AC, ∠BAC = 40°. Then the external angle at B is: (SSC CGL 1st Sit 2013)
(a) 80°
(b) 90°
(c) 70°
(d) 110°

71. A chord of length 30 cm is at a distance of 8 cm from the centre of a circle. The radius of the circle is: (SSC CGL 1st Sit. 2013)
(a) 19
(b) 17
(c) 23
(d) 21

72. If ABCD be a rectangle and P, Q, R, S be the mid points

73. P and Q are two points on a circle with centre at O. R is a point on the minor arc of the circle, between the points P and Q. The tangents to the circle at the points P and Q meet eahc other at the point S. If ∠PSQ = 20°, ∠PRQ = ? (SSC CGL 1st Sit 2013)
(a) 100°
(b) 80°
(c) 200°
(d) 160°

74. AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and distance between them is 17 cm, then the radius of the circle is: (SSC CGL 1st Sit 2013)
(a) 10cm
(b) 11cm
(c) 12 cm
(d) 13 cm

75. ABC is an isosceles triangle such that AB = AC and ∠B = 35°. AD is the median to the base BC. Then ∠BAD is: (SSC CGL 1st Sit 2013)
(a) 55°
(b) 70°
(c) 35°
(d) 110°

76. ABCD is a cyclic trape∠ium with AB || DC and AB = and diameter of the circle. If ∠CAB = 30° then ∠ADC is (SSC CGL 2nd Sit. 2013)
(a) 60°
(b) 120°
(c) 150°
(d) 30°

77. ABC is a triangle. The bisectors of the internal angle ∠B and external angle ∠C intersect atD. If∠BDC = 50°, then ∠A is (SSC CGL 2nd Sit. 2013)
(a) 100°
(b) 90°
(c) 120°
(d) 60°

78. AB is the chord of a circle with centre O and DOC is a line segment originating from a point D on the circle and intersecting, AB produced at C such that BC = OD. If ∠BCD = 20°, then ∠AOD = ? (SSC CGL 2nd Sit. 2013)
(a) 20°
(b) 30°
(c) 40°
(d) 60°

79. In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)
(a) 9 cm
(b) 7 cm
(c) 23 cm
(d) 11cm

80. ABC is a right angled triangle, B being the right angle. Mid points of BC and AC are respectively B’ and A’. The ratio of the area of the quadrilateral AA’ B’B to the area of the triangle ABC is (SSC CGL 2nd Sit. 2013)
(a) 1:2
(b) 2:3
(c) 3:4
(d) None of the above

81. In a triangle ABC, the side BC is extended up to D. Such that CD = AC, if ∠BAD = 109° and ∠ACB = 72° then the value of ∠ABC is (SSC CGL 2nd Sit. 2013)
(a) 35°
(b) 60°
(c) 40°
(d) 45°

82. Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle of length.

83. ABCD is a cyclic quadrilateral AB and DC are produced to meet at P. If ∠ADC = 70° and ∠DAB = 60°, then the ∠PBC + ∠PCB is (SSC CGL 2nd sit. 2013)
(a) 130°
(b) 150°
(c) 155°
(d) 180°

84. From a point P which is at a distance of 13 cm from center O of a circle of radius 5 cm, in the same plane, a pair of tangents PQ and PR are drawn to the circle. Area of quadrilateral PQOR is (SSC CGL 2nd Sit. 2013)
(a) 65 cm2
(b) 60 cm2
(c) 30 cm2
(d) 90 cm2

85. If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is (SSC CGL 2nd Sit. 2013)
(a) 3:4
(b) 4:5
(c) 5:4
(d) 3:5

86. N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is (SSC CGL 1st Sit. 2013)

87.

88. If G is the centroid of ∆ABC and ∆ABC = 48cm2, then the area of ∆BGC is (SSC CGL 1st Sit. 2013)
(a) 16 cm2
(b) 24 cm2
(c) 32 cm2
(d) 8 cm2

89. The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that (SSC CGL 1st Sit. 2013)
(a) AP.BP = CP.DP
(b) AP.CD = AB.CP
(c) BP. AB = CD. CP
(d) AP. CP = BP. DP

90. If O be the circumcentre of a triangle PQR and ∠QOR = 110°, ∠OPR = 25°, then the measure of ∠PRQ is (SSC CGL 1st Sit. 2013)
(a) 55°
(b) 60°
(c) 65°
(d) 50°

91. A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is (SSC CGL 1st Sit. 2013)
(a) 65 m
(b) 70 m
(c) 72 m
(d) 60 m

92. A, B, C, D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. ∠BAC = 130° and ∠ECD= 20°. ∠BAC is (SSC CGL 1st Sit. 2013)
(a) 100°
(b) 110°
(c) 120°
(d) 90°

93. In a triangle, if three altitudes are equal, then the triangle is (SSC CGL 1st Sit. 2013)
(a) Right
(b) Isoceles
(c) Obtuse
(d) Equilateral

94. A, B, P are three points on a circle having centre O. If ∠OAP = 25° and ∠OBP = 35°, then the measure of ∠AOB is (SSC CGL 1st Sit. 2013)
(a) 120°
(b) 60°
(c) 75°
(d) 150°

95.

96. The length of tangent (upto the point of contact) drawn from an external point P to a circle of radius 5 cm is 12 cm. The distance of P from the centre of the circle is (SSC CGL Ist. Sitt 2013)
(a) 11cm
(b) 12cm
(c) 13 cm
(d) 14 cm

97. ABCD is a cyclic quadrilateral, AB is a diameter of the circle. If ∠ACD = 50°, the value of ∠BAD is (SSC CGL 1st Sit. 2013)
(a) 30°
(b) 40°
(c) 50°
(d) 60°

98. Two circles of equal radikouch externally at a point P. From a point T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. The relation of TQ and TR is (SSC CGL 1st Sit. 2013)
(a) TQ<TR
(b) TQ>TR
(c) TQ = 2TR
(d) TQ = TR

99. When two circles touch externally, the number of common tangents are (SSC CGL 1st Sit. 2013)
(a) 4
(b) 3
(c) 2
(d) 1

100. D and E are the mid-points of AB and AC of ∆ABC.If ∠A= 80°, ∠C = 35°, then ∠EDB is equal to (SSC CGL 1st Sit. 2013)
(a) 100°
(b) 115°
(c) 120°
(d) 125°

101. If the inradius of a triangle with perimeter 32 cm is 6 cm, then the area of the triangle in sq. cm is (SSC CGL 1st Sit. 2013)
(a) 48
(b) 64
(c) 100
(d) 96

102. The sum of three altitudes of a triangle is (SSCCGL 1st Sit. 2013)
(a) equal to the sum of three sides
(b) less than the sum of sides
(c) greater than the sum of sides
(d) twice the sum af sides

103. In ∆ABC, ∠A+ ∠B = 65°, ∠B + ∠C = 140°, then find ∠B. (SSC CGL 1st Sit. 2013)
(a) 40°
(b) 25°
(c) 35°
(d) 20°

104. The length of the tangent drawn to a circle of radius 4 cm from a point 5 cm away from the centre of the circle is (SSC CGL 1st Sit 2013)
(a) 3 cm
(b) 4√2 on
(c) 5√2 cm
(d) 3√2 an

105. A cyclic quadrilateral ABCD is such that AB = BC, AD = DC, AC ⊥ BD, ∠CAD = θ. Then the angle ∠ABC = (SSC CGL 1st Sit 2013)

106. The height of an equilateral triangle is 15 cm. The area of the triangle is (SSC CGL 1st Sit. 2013)
(a) 50√3 sq.cm.
(b) 70√3 sq. cm.
(c) 75√3 sq.cm.
(d) 150√3 sq.cm.

107. Two parallel chords of a circle, of diameter 20 cm lying on the opposite sides ofthe centre are of lengths 12 cm and 16 cm. The distance between the chords is (SSC CGL 1st Sit. 2013)
(a) 16 cm
(b) 24 cm
(c) 14 cm
(d) 20 cm

108. In ∆ABC, DE || AC. D and E are two points on AB and CB respectively. IfAB= 10 cm and AD 24 cm, then BE: CE is (SSC CGL 1st Sit 2013)
(a) 2:3
(b) 2:5
(c) 5:2
(d) 3:2

109. A, B and C are the three points on a circle such that the an gles subtended by the chords AB and AC at the centre O are 90° and 110° respectively. ∠BAC is equal to (SSC CGL 1st Sit. 2013)
(a) 70°
(b) 80°
(c) 90°
(d) 100°

110.

111. In a ∆ABC, AD, BE and CF are three medians. The perimeter of ∆ABC is always (SSC Sub. Ins. 2014)

112.

113. Two circles with radii 25 cm and 9 cm touch each other externally. The length of the direct common tangent is (SSC Sub. Ins. 2014)
(a) 34 cm
(b) 30 cm
(c) 36 cm
(d) 32 cm

114. IfAB= 5 cm, AC = 12 and AB ⊥ AC then the radius of the circumcircle of ∆ABC is (SSC Sub. Ins. 2014)
(a) 6.5 cm
(b) 6 cm
(c) 5 cm
(d) 7 cm

115. The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)
(a) 6
(b) 9
(c) 10
(d) 12

116. In ∆ABC, D and E are two points on the sides AB and AC

117. The perimeters of two similar triangles ∆ABC and APQR are 3 6 cm and 24 cm respectively. If PQ = 10 cm, the AB is (SSC CHSL 2014)
(a) 15 cm
(b) 12 cm
(c) 14 cm
(d) 26 cm

118. If the sides of a right angled triangle are three consecutive integers, then the length ofthe smallest side is (SSC CHSL 2014)
(a) 3 units
(b) 2 units
(c) 4 units
(d) 5 units

119. Two circles intersect each other at the points A and B. A straight line parallel to AB intersects the circles at C, D, E and F. If CD = 4.5 cm, then the measure of EF is (SSC CHSL 2014)
(a) 1.50 cm
(b) 2.25 cm
(c) 4.50 cm
(d) 9.00 cm

120. In a quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O. If ∠C = 70° and ∠D =130°, then measure of ∠AOB is (SSC CGL 1st Sit. 2014)
(a) 40°
(b) 60°
(c) 80°
(d) 100°

121. In ∆ABC, E and D are points on sides AB and AC respectively such that ∠ABC = ∠ADE. If AE = 3 cm, AD = 2 cm and EB = 2 cm, then length of DC is (SSC CGL 1st Sit. 2014)
(a) 4 cm
(b) 4.5 cm
(c) 5.0 cm
(d) 5.5 cm

122. In a circle with centre O, AB is a chord, and AP is a tangent to the circle. If ∠AOB = 140°, then the measure of ∠PAB is (SSC CGL 1st Sit. 2014)
(a) 35°
(b) 55°
(c) 70°
(d) 75°

123. In ∆ABC, ∠A<∠B. The altitude to the base divides vertex

124. If O is the in-centre of ∆ABC; if ∠BOC = 120°, then the measure of ∠BAC is (SSC CGL 1st Sit. 2014)
(a) 30°
(b) 60°
(c) 150°
(d) 75°

125. Two parallel chords of a circle of diameter 20 cm are 12 cm and 16 cm long. If the chords are in the same side of the centre, then the distance between them is (SSC CGL 1st Sit. 2014)
(a) 28 cm
(b) 2 cm
(c) 4 cm
(d) 8 cm

126. The interior angle of a regular polygon is 140°. The number of sides of that polygon is (SSC CGL 1st Sit. 2014)
(a) 9
(b) 8
(c) 7
(d) 6

127. If two circles ofradii 9 cm and 4 cm touch externally, then the length of a common tangent is (SSC CGL 1st Sit. 2014)
(a) 5 cm
(b) 7 cm
(c) 8 cm
(d) 12 cm

128. If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB=19 cm and AC=22 cm then the length of BC is : (SSC Sub. Ins. 2015)
(a) 20.5 cm
(b) 19.5 cm
(c) 13 cm
(d) 26 cm

129. Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Then the distance between their centres is: (SSC Sub. Ins. 2015)
(a) 15 cm
(b) 10 cm
(c) 8 cm
(d) 13.3 cm

130. Two isosceles triangles have equal vertical angles and their areas are in the ratio 9:16. Then the ratio of their corresponding heights is: (SSC Sub. Ins. 2015)
(a) 4.5:8
(b) 8:4.5
(c) 3:4
(d) 4:3

131. The perimetres oftwo similar triangles are 30 cm and 20cm respectively. If one side ofthe first triangle is 9cm. Determine the corresponding side of the second triangle: (SSC Sub. Ins. 2015)
(a) 15 cm
(b) 5 cm
(c) 6 cm
(d) 13.5 cm

132. The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 13m. The area of the field is: (SSC Sub. Ins. 2015)
(a) 252 m²
(b) 1152 m²
(c) 96 m²
(d) 156 m²

133. In ∆ABC, ∠B = 60°, and ∠C = 40°; AD and AE are respectively the bisector of ∠A and perpendicular on BC. The measure of ∠EAD is: (SSC CHSL 2015)
(a) 9°
(b) 11°
(c) 12°
(d) 10°

134. ABCD is a square. Draw a triangle QBC on side BC considering BC as base and draw a triangle PAC on AC as its base such that ∆QBC ~ ∆PAC.

135. The distance between centres of two circles of radii 3 cm and 8 cm is 13 cm. Ifthe points of contact of a direct common tangent to the circles are P and Q, then the length of the lien segment PQ is: (SSC CHSL 2015)
(a) 11.9 cm
(b) 11.5 cm
(c) 12 cm
(d) 11.58 cm

136. In ∆ABC, AB = BC = K, AC = √2 K, then ∆ABC is a: (SSC CHSL 2015)
(a) Isosceles triangle
(b) Right angled triangle
(c) Equilateral triangle
(d) Right isosceles triangle

137. Two circles of radii 5 cm and 3 cm touch externally, then the ratio in which the direct common tangent to the circles divides externally the line joining the centres of the circles is: (SSC CHSL 2015)
(a) 2.5:1.5
(b) 1.5:2.5
(c) 3:5
(d) 5:3

138. In ∆ABC, a line through A cuts the side BC at D such that BD: DC = 4 :5. If the area of ∆ABD = 60 cm2, then the area of ∆ADC is (SSC CGL 1st Sit. 2015)
(a) 50 cm²
(b) 60 cm²
(c) 75 cm²
(d) 90 cm²

139. A tangent is drawn to a circle of radius 6cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be (SSC CGL 1st Sit. 2015)
(a) 4 cm
(b) 5 on
(c) 8 cm
(d) 7 cm

140. Two poles of height 7 m and 12 m stand on a plane ground. If the distance between their feet is 12 m, the distance between their top will be (SSC CGL 1st Sit. 2015)
(a) 13m
(b) 19m
(c) 17m
(d) 15m

141. The measure of an angle whose supplement is three times as large as its complement, is (SSC CGL 1st Sit. 2015)
(a) 30°
(b) 45°
(c) 60°
(d) 75°

142. The sides of a triangle having area 7776 sq. cm are in the ratio 3:4:5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)
(a) 400cm
(b) 412cm
(c) 424 cm
(d) 432 cm

143. Two chords of length a unit and b unit of a circle make angles 60° and 90° at the centre of a circle respectively, then the correct relation is (SSC CGL 1st Sit. 2015)

144. In a parallelogram PQRS, angle P is four times of angle Q, then the measure of ∠R is (SSC CGL 1st Sit. 2015)
(a) 36°
(b) 72°
(c) 130°
(d) 144°

145. If a clock started at noon, then the angle turned by hour hand at 3.45 PM is (SSC CGL 1st Sit. 2015)

146. Let C, and C2 be the inscribed and circumscribed circles of a triangle with sides 3 cm, 4 cm and 5 cm then area of C1 to area of C2 is (SSC CGL 1st Sit. 2015)

147. If the three angles of a triangle are:

(a) scalene
(b) isosceles
(c) right angled
(d) equilateral

148. If the number of vertices, edges and faces of a rectangular parallelopiped are denoted by v, e and f respectively, the value of (v – e + f) is (SSC CGL 1st Sit. 2015)
(a) 4
(b) 2
(c) 1
(d) 0

149. If the altitude of an equilateral triangle is 12√3 cm, then its area would be: (SSC CGL 1st Sit. 2015)

150. Internal bisectors of ∠Q and ∠R of APQR intersect at O. If ∠ROQ = 96° then the value of ∠RPQ is: (SSC CGL 1st Sit. 2015)
(a) 12°
(b) 6°
(c) 36°
(d) 24°

151. If the measure of three angles ofa triangle are in the ratio 2 : 3 : 5, then the triangle is : (SSC CGL 1st Sit. 2015)
(a) equilateral
(b) isocsceles
(c) Obtuse angled
(d) right angled

152. G is the centroid of ∆ABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is ? (SSC CGL 1st Sit. 2015)
(a) 10
(b) 10.5
(c) 9.5
(d) 11

153. If a person travels from a point L towards east for 12 km and then travels 5 km towards north and reaches a point M, then shortest distance from L to M is : (SSC CGL 1st Sit. 2015)
(a) 14
(b) 12
(c) 17
(d) 13

154. If D,E and Fare the mid points of BC, CA and AB respectively of the ∆ABC then the ratio of area of the parallelogram DEFB and area of the trapezium CAFD is: (SSC CGL 1st Sit. 2015)
(a) 1:3
(b) 1:2
(c) 3:4
(d) 2:3

155. O is the orthocentre of ∆ABC , and if ∠BOC = 110° then ∠BAC will be (SSC CGL 1st Sit. 2016)
(a) 110°
(b) 70°
(c) 100°
(d) 90°

156. BE and CF are two altitudes of a triangle ABC. If AB = 6 cm , AC = 5 cm and CF = 4 cm , then the length of BE(SSC CGL 1st Sit. 2016)
(a) 4.8 cm
(b) 7.5cm
(c) 3.33 cm
(d) 5.5 cm

157. In a A ABC, BC is extended upto D (SSC CGL 1st Sit. 2016)

(a) 60°
(b) 75°
(c) 80°
(d) 90°

158. O is the centre of a circle and AB is the tangent to it touching at B. If OB = 3 cm. and OA = 5 cm, then the measure of AB in cm is (SSC CGL 1st Sit. 2016)
(a) √34
(b) 2
(c) 8
(d) 4

159. X and Y are the mid points of sides AB and AC of a triangle ABC. If BC + XY=12 units, then BC – XY is (SSC CGL 1st Sit. 2016)
(a) 8 units
(b) 4 units
(c) 6 units
(d) 2 units

160. In ∆PQR, L and M are two points on the sides PQ and PR respectively such that LM || QR. If PL = 2cm; LQ = 6cm and PM= 1.5 cm, then MR in cm is (SSC CGL 1st Sit. 2016)
(a) 0.5
(b) 4.5
(c) 9
(d) 8

161. The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is (SSC CGL 1st Sit. 2016)
(a) 2cm
(b) 3cm
(c) 4 cm
(d) 15 cm

162. In a triangle ABC, if∠A+ ∠C = 140° and∠A+ 3∠B= 180°, then ∠A is equal to (SSC CGL 1st Sit. 2016)
(a) 80°
(b) 40°
(c) 60°
(d) 20°

163. If PA and PB are two tangents to a cirlce with centre O such that ∠APB = 80°. Then, ∠AOP =? (SSC CGL 1st Sit. 2016)
(a) 40°
(b) 50°
(c) 60°
(d) 70°

164. Which of the set of three sides can’t form a triangle? (SSC CGL 1st Sit. 2016)
(a) 5 cm, 6 cm, 7 cm
(b) 5 cm, 8 cm, 15 cm
(c) 8 cm, 15 cm, 18 cm
(d) 6 cm, 7 cm, 11cm

165. AB is the diameter of a circle with centre O and P be a point on its circumference, If ∠POA =120°, then the value of ∠PBO is: (SSC CGL 1st Sit. 2016)
(a) 30°
(b) 60°
(c) 50°
(d) 40°

166. An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its centre is (SSC CGL 1st Sit. 2016)
(a) 3°
(b) 4°
(c) 5°
(d) 6°

167. Which of the following ratios can be the ratio of the sides of a right angled triangle? (SSC CGL 1st Sit. 2016)
(a) 9:6:3
(b) 13:12:5
(c) 7:6:5
(d) 5:3:2

168. Number of circles that can be drawn through three non-colinear points is (SSC CGL 1st Sit 2016)
(a) exactly one
(b) two
(c) three
(d) more than three

169. Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is (SSC CGL 1st Sit. 2016)
(a) 7.5 cm
(b) 9 cm
(c) 8 cm
(d) 10 cm

170. PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is (SSC CGL 1st Sit. 2016)
(a) 3 cm
(b) 6 cm
(c) 12 cm
(d) 4.5 cm

171. In the triangle ABC, ∠B AC = 50° and the bisectors of ∠ABC and ∠ACB meets at P. What is the value (in degrees) of ∠BPC? (SSC CGL2017)
(a) 100
(b) 105
(c) 115
(d) 125

172. Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles? (SSC CGL 2017)
(a) 25
(b) 25√2
(c) 50
(d) 50√2

173. In the given figure, ∠QRN = 40°, ∠PQR = 46° and MN is a tangent at R. What is the value (in degrees) of x, y and z respectively? (SSC CGL 2017)

(a) 40, 46, 94
(b) 40, 50, 90
(c) 46, 54, 80
(d) 50 ,40, 90

174. In ∆PQR, ∠R= 54°, the perpendicular bisector of PQ at S meets QR at T. If ∠TPR = 46°, then what is the value (in degrees) of ∠PQR? (SSC CGL 2017)
(a) 25
(b) 40
(c) 50
(d) 60

175. The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area (in cm2) ofthe triangle? (SSC CGL 2017)
(a) 39
(b) 48
(c) 57
(d) 64

176. If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) ofQS? (SSC CGL 2017)
(a) 4√5
(b) 6
(c) 8
(d) 12

177. In the given figure, ABC is a triangle. The bisectors of internal ∠B and external ∠C intersect at D. If ∠BDC = 48°, then what is the value (in degrees) of ∠A ? (SSC CGL 2017)

(a) 48
(b) 96
(c) 100
(d) 114

178. In the given figure, O is the centre ofthe circle and ∠DCE = 45°. If CD = 10√2 cm, then what is the length (in cm) of AC. (CB = BD): (SSC CGL 2017)

(a) 14
(b) 15.5
(c) 18.5
(d) 20

179. In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively? (SSC CGL 2017)
(a) 1:1
(b) 2:1
(c) 3:1
(d) 4:1

180. PQR is a right angled triangle in which ∠R= 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)? (SSC CGL 2017)
(a) 12/5
(b) 36/5
(c) 5
(d) 2.5

181. In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR = 105°, then what is the value of ∠PAR (in degrees)? (SSC CGL 2017)
(a) 60
(b) 100
(c) 105
(d) 115

182. If there are four lines in a plane, then what cannot be the number of points of intersection of these lines? (SSC CGL 2017)
(a) 0
(b) 5
(c) 4
(d) 7

183. In ∆ABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD? (SSC CGL 2017)
(a) 3.5
(b) 7
(c) 10.5
(d) 14

184. A chord of length 60 cm is at a distance of 16 cm from the centre of a circle. What is the radius (in cm) of the circle? (SSC CGL 2017)
(a) 17
(b) 34
(c) 51
(d) 68

185. In the given figure, a smaller circle touches a larger circle at P and passes through its centre O. PR is a chord of length 34 cm, then what is the length (in cm) of PS? (SSC CGL 2017)

(a) 9
(b) 17
(c) 21
(d) 25

186. In the given figure, ABC is a triangle in which, AB = 10 cm, AC = 6 cm and altitude AE = 4 cm. If AD is the diameter of the circum-circle, then what is the length (in cm) of circum- radius? (SSC CGL 2017)

(a) 3
(b) 7.5
(c) 12
(d) 15

187. Find the sum of interior angles of a dodecagon? (SSC CHSL 2017)
(a) 1620°
(b) 1800°
(c) 1440°
(d) 1260°

188. In ∆PQR, ∠P:∠Q:∠R = 2:2:5. A line parallel to QR is drawn which touches PQ and PR at A and B respectively. What is the value of ∠PBA – ∠PAB? (SSC Sub. Ins. 2017)
(a) 60
(b) 30
(c) 24
(d) 36

189. In the given figure, O is the centre of the circle, ∠DAB = 110°and ∠BEC = 100° . What is the value (in degrees) of ∠OCB? (SSC Sub. Ins. 2017)

(a) 5
(b) 10
(c) 15
(d) 20

190. If ADEF is right angled at E, DE = 15 and ∠DFE = 60 °, then what is the value of EF? (SSC Sub. Ins. 2017)
(a) 5√3
(b) 5
(c) 15
(d) 30

191. In the given figure, area of isosceles triangle PQT is 128 cm2 and QT = PQ and PQ = 4 PS, PT || SR, then what is the area (in cm2) of the quadrilateral PTRS? (SSC Sub. Ins. 2017)

(a) 80
(a) 64
(c) 124
(d) 72

192. In the given figure, BD passes through centre O, AB = 12 and AC = 8. What is the radius of the circle? (SSC Sub. Ins. 2017)

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SSC Mathematics Topic Wise Solved Papers – Data Interpretation

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SSC Mathematics Topic Wise Solved Papers – Data Interpretation

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

DIRECTIONS (Qs. 1-3): The pie chart, given here, represents the number of valid votes obtained by four students who contested election for school leadership. The total number of valid votes polled was 720.
Observe the chart and answer the questions based on it. (SSC CGL 1st Sit 2010)

1. What was the minimum number of votes obtained by any candidate?
(a) 100
(b) 110
(c) 120
(d) 130

2. Who was the winner…. ?
(a) Sivaraman
(b) Paramjeet
(c) Yasin
(d) Vishwanath

3. By how many votes did the winner defeat his nearest rival ?
(a) 40
(b) 45
(c) 48
(d) 50

DIRECTIONS (Qs. 4-6): The pie chart, given here, shows the amount of money spent on various sports by a school administration in a particular year.
Observe the pie chart and answer the questions based on this graph. (SSC CGL 2nd Sit.2010)

4. If the money spent on football was ₹ 9,000 how much more money was spent on hockey than on football ?
(a) ₹ 11,000 (b) ₹ 11,500
(c) ₹ 12,000 (d) ₹ 12,500

5. If the money spent on football was ₹ 9,000, what amount was spent on Cricket ?
(a) ₹ 31,000
(b) ₹ 31,500
(c) ₹ 32,000
(d) ₹ 32,500

6. If the money spent on football is ₹ 9,000, then what was the total amount spent on all sports ?
(a) ₹ 73,000
(b) ₹ 72,800
(c) ₹ 72,500
(d) ₹ 72,000

DIRECTIONS (Qs. 7-10): The following graph shows the demand and production of cotton by 5 companies A, B, C, D and E. Study the graph and answer questions.

7. What is the ratio of companies having more demand than production to those having more production than demand?
(a) 2:3
(b) 4:1
(c) 3:2
(d) 1:4

8. What is the difference (in tonnes) between average demand and average production of the five companies taken together?
(a) 320
(b) 420
(c) 2100
(d) 1050

9. The production of company D is how many times that of the production of the company A?
(a) 1.8
(b) 1.5
(c) 0.5
(d) 0.4

10. The demand for company B is what percent of the demand for company C?
(a) 1.5
(b) 2.5
(c) 25
(d) 30

DIRECTIONS (Qs. 11-14) : The following graph shows the production of cotton bales of 100 kg each in lakhs by different states A, B, C, D and E over the years. Study the graph and answer Question Nos. 11 to 14. (SSC CGL 2nd Sit.2011)

11. The production of State C in 2003-2004 is how many times its production in 2005-2006?
(a) 2.5
(b) 1.85
(c) 1.5
(d) 0.4

12. In which State(s) is there a steady increase in the production of cotton during the given period?
(a) A and B
(b) B and D
(c) A and C
(d) DandE

13. How many kg of cotton was produced by State C durig the given period?
(a) 32,00,00,000 kg
(b) 42,50,00,000 kg
(c) 33,00,00,000 kg
(d) 35,00,00,000 kg

14. The number of States for which the production of cotton in 2005-2006 is less than or equal to the preceding year is
(a) 3
(b) 2
(c) 1
(d) There is no such states

DIRECTIONS (Qs. 15-19) : The pie-chart given below shows the distribution of workforce by occupational category for country in 1981 and 1995. Study the chart and answer the questions no. 15 to 19.

15. In 1981, the number of Sevice workers in the workforce, in millions, was
(a) 15.0
(b) 20.5
(c) 22.5
(d) 28.0

16. In 1981, the number of categories which comprised of more than 25 million workers each, is
(a) two
(b) three
(c) four
(d) five

17. The ratio of the number of workers in the Professional category in 1981 to the number of such workers in 1995 is
(a) 4:9
(b) 5:14
(c) 9:14
(d) 14:9

18. The increase in the number of Clerical workers in the workforce of country X from 1981 to 1995 (in millions) is
(a) 0.75
(b) 1.5
(c) 0.5
(d) 1.25

19. The percentage decrease in the number of Blue-Collar workers in the workforce of country X from 1981 to 1995 is

DIRECTIONS (Qs. 20-24): Read the following chart and answer the questions that follows:
The following pie-chart shows the preference of musical instruments of 60,000 people surveyed over whole India.

20. If 2100 people be less from the number of people who prefer Flute, the percentage of people who prefer Flute would have been:
(a) 9.5%
(b) 6.5%
(c) 7.5%
(d) 8.5%

21. The total number of people who prefer either Sarod or Guitar, is greater than the total number of people who prefer either Violin or Sitar by:
(a) 1200
(b) 1600
(c) 1100
(d) 1400

22. The number of people who prefer the musical instrument Sarod is:
(a) 7400
(b) 8400
(c) 6400
(d) 8600

23. If 16 2/3% of the people who prefer Piano, would go with the people who prefers Flute, the percentage of people who prefer Flute would have been :
(a) 13.5%
(b) 14.5%
(c) 15.5%
(d) 12.5%

24. The number of people who prefer Guitar is greater than the total number of people who prefer either Flute or Piano by:
(a) 1200
(b) 1100
(c) 1300
(d) 1400

DIRECTIONS (Qs 25-29) : Study the graph and answer the questions that follows :
Circle graph given below shows the expenditure incurred in bringing out a book by a publisher.

25. The central angle of the sector for the cost of the paper is :
(a) 22.5°
(b) 16°
(c) 54.8°
(d) 57.6°

26. Royalty on the book is less than the Advertisement charges by:
(a) 3%
(b) 25%
(c) 20%
(d) 16%

27. If 5500 copies are published, Miscellaneous expenditures amounts to ₹ 1848 and publisher’s profit is 25%, then marked price of each copy is:
(a) ₹ 12.50
(b) ₹ 10.50
(c) ₹ 10
(d) ₹ 8.40

28. If the cost of printing is ₹ 17,500, the Royalty is:
(a) ₹ 8750
(b) ₹ 6300
(c) ₹ 7500
(d) ₹ 3150

29. If the Miscellaneous charges is ₹ 6,000, the Advertisement charges are:
(a) ₹ 27,000
(b) ₹ 90,000
(c) ₹ 12,000
(d) ₹ 1,33333

DIRECTIONS (Qs. 30-34) : The graph shows Income and Expenditure of a company. Study the graph and answer the questions.

30. The expenditure from 2002 to 2003 increased by
(a) 331%
(b) 40%
(c) 10%
(d) 20%

31. The income in 2002 was equal to the expenditure in the year
(a) 2003
(b) 2004
(c) 2000
(d) 2001

32. The profit was maximum in the year
(a) 2003
(b) 2004
(c) 2001
(d) 2002

33. The difference in profit between 2001 and 2002 is
(a) ₹ 25 lakhs
(b) No difference
(c) ₹ 10 lakhs
(d) ₹ 20 lakhs

34. The number of years in which the income exceeds the average income is
(a) three
(b) four
(c) one
(d) two

DIRECTIONS (Qs. 35-39): The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the following questions below.

35. In Assam, the ratio of Aircell simcard and Airtel simcard sold is:
(a) 3:2
(b) 2:5
(c) 5:2
(d) 2:3

36. In which state are there the largest number of owners of Airtel simcard?
(a) Tamil Nadu
(b) Gujarat
(c) Kerala
(d) Assam

37. Average of simcard sold in the four states in lakhs is
(a) 30.25
(b) 40.5
(c) 35
(d) 33.75

38. The range of BSNL simcard sold in the 4 states in lakhs is:
(a) 12
(b) 15
(c) 14
(d) 13

39. Of all the simcards sold irj all the four states, the number of simcards sold in Gujarat is (approx)
(a) 40%
(b) 38%
(c) 35%
(d) 42%

DIRECTIONS (Qs. 40-44): Population of five adjacent areas of a town, in the year of 2010, are represented in the following Pie- chart. the ratio of the numbers of males to that of females in these areas are stated in the table below. The total of the population in all the five areas is 72 lakh. Study the Pie-chart and the table and then answer the questions.

41. The number of males in the areas S1 and S4 together is
(a) 13.8 lakh
(b) 8.2lakh
(c) 16.2 lakh
(d) 15.8 lakh

42. The ratio of number of females in the area S2 to that in the f area S5 is
(a) 108:35
(b) 36:13
(c) 9:7
(d) 13:36 .

43. If, in the year 2010, there was an increase of 5% population in the area S1 and 8% increase in population of the area S3 compared to the previous year, then the ratio of population in the areas S1 and S3, in the year 2009 was
(a) 108:35
(b) 27:10
(c) 27:70
(d) 10:3

44. The average of female population in all the five areas is lower than the female population in each of the areas
(a) S1 and S2 (b) S2 and S5
(c) S2 and S4 (d) S4 and S5

DIRECTIONS (Qs. 45-49): The following pie-chart represents the profits earned by a certain company in seven consecutive years. Study the pie-chart carefully and answer the question.

45. If the expenditure in the year 1993 was 30% more than the expenditure in the year 1991, then the income in the year 1993 exceeds the in come in the year 1991 by 3 0% of
(a) the income in the year 1991
(b) the expenditure in the year 1993
(c) the income in the year 1993
(d) the expenditure in the year 1991

46. If x% of the total of profits earned in all the given years is same as the profit earned in the year 1994, then x is

47. The ratios of expenditures and incomes in the years 1992, 1994 and 1996 are given to be 6:5:8 and 2:3:4 respectively. The ratio of the income in the year 1996 to the total expenditure in the years 1992 and 1994 is
(a) 40:11
(b) 10:7
(c) 20:11
(d) 20:13

48. The year in which the profit is nearest to the average of the profits earned in all the given years is
(a) 1991
(b) 1995
(c) 1993
(d) 1994

49. If the income in the year 1997 was 5 times the expenditure made in the same year, then the ratio of the profit earned in the year 1991 to the expenditure in the year 1997 was
(a) 11:28
(b) 44:7
(c) 28:11
(d) 7:44

50. The following graph represents the maximum and minimum temperature recorded every day in a certain week. The day on which the difference between the maximum and minimum temperature was maximum is (SSC Multitasking 2013)

(a) Monday
(b) Wednesday
(c) Saturday
(d) Sunday

51. Different choices made by a group of 200 students are given below in percentage. The number of students who have taken neither Science nor Commerce is (SSC Multitasking 2013)

(a) 40
(b) 80
(c) 120
(d) 60

DIRECTIONS (Qs. 52-55) : The following table shows the productions of food-grains (in million tons) in a state for the period 1999 – 2000 to 2003 – 2004. Read the table and answer the questions.

52. In 2002 – 2003, the percentage increase in the production of barley as compared to the previous year was:
(a) 14.20
(b) 17.85
(c) 18.75
(d) 7.90

53. During the period 1999 – 2000 to 2003 – 2004, x per cent of the total production is production of wheat. The value of x is about:
(a) 12.6
(b) 37.4
(c) 37.8
(d) 20.2

54. In the year 2003 – 2004, the increase in production was maximum over the previous year for:
(a) Rice
(b) Barley
(c) Other cereals
(d) Wheat

55. The difference of average production of rice and the average production of barley over the years is:
(a) 50
(b) 60
(c) 80
(d) 40

DIRECTIONS (Qs. 56-60): Production of three different flavours soft drinks X, Y and Z for a period of six years has been expressed in the following graph. Study the graph and answer the questions.

56. The approximate decline in the production of flavour Z in 2010 as compared to the production in 2008 is:
(a) 33%
(b) 22.5%
(c) 42%
(d) 25%

57. The average annual production was maximum in the given period for the flavour:
(a) Y only
(b) Z only
(c) X and Z
(d) X only

58. What percent of the total production of flavour X in 2005 and 2006 combined is the total production of flavour Z in 2007 and 2008 combined?
(a) 102.25
(b) 115.57
(c) 133.33
(d) 96.67

59. The percentage of rise/fall in production from the previous year is maximum for the flavour Y in this year:
(a) 2007
(b) 2008
(c) 2009
(d) 2006

60. The difference (in lakh bottles) between the average production of flavour X in 2005,2006,2007 and the average production of flavour Y in 2008, 2009 and 2010 is:
(a) 2.4
(b) 0.5
(c) 1.5
(d) 5

DIRECTIONS (Qs. 61-63): The following pie-chart shows the number of students admitted in different faculties of a college. Study the chart and answer the question.

61. If 1000 students are admitted in science, what is the total number of students ?
(a) 360
(b) 180
(c) 1800
(d) 3600

62. If 1000 students are admitted in science, what is the ratio of students in science and arts ?
(a) 5:6
(b) 6:5
(c) 7:5
(d) 7:6

63. How many students are more in commerce than in law if 1000 students are in science ?
(a) 20
(b) 200
(c) 2000
(d) 500

DIRECTIONS (Qs. 64-67): Study the two pie-charts and answer the questions.

64. The average amount spent on Education, Grocery and Savings from April month’s salary is:
(a) ₹ 5520
(b) ₹ 5800
(c) ₹ 6000
(d) ₹ 6325

65. From the salary of May, the amount spent on Grocery and Electricity are:
(a) ₹ 2160, ₹ 480
(b) ₹ 6250, ₹ 3360
(c) ₹ 960, ₹ 5040
(d) ₹ 3500, ₹ 2250

66. The ratio of amount spent for savings in April month’s salary and miscellaneous in May month’s salary is :
(a) 235:50
(b) 216:25
(c) 217:26
(d) 205:13

67. What is the percent increase in Education in May month than April month?
(a) 10.82%
(b) 9.56%
(c) 12.35%
(d) 20%

68. Study the above bar graph showing the production of food grains (in million tons). (SSC CGL 2nd Sit.2013)
What is the ratio between the maximum production and the minimum production during the given period?

(a) 1:2
(b) 2:3
(c) 3:4
(d) 5:2

69. The total number of students involved in the data is
(a) 33
(b) 32
(c) 43
(d) 42

70. The maximum number of students got the marks in the interval of
(a) 10-20
(b) 20-30
(c) 30-40
(d) 40-50

71. The least number of students got the marks in the interval
(a) 40-50
(b) 20-30
(c) 10-20
(d) 0-10

72. The ratio of the students obtaining marks in the first and the last interval is
(a) 5:4
(b) 6:5
(c) 4:5
(d) 3:4

73. The difference in the amount estimated by the family on interior decoration and architect’s fees is
(a) ₹ 10000
(b) ₹ 9500
(c) ₹ 7200
(d) ₹ 9600

74. In a certain country, allocations to various sectors of the yearly budget per ₹ 1000 crores are represented by this pie- diagram. The expenditure (in ₹) on Agriculture is

(a) 250 crores
(b) 150 crores
(c) 300 crores
(d) 200 crores

DIRECTIONS (Qs. 75-77): Shown below is the multiple bar diagram depicting the changes in the roll strength of a college in four faculties from 2001 – 02 to 2003 – 04.

75. The percentage of students in Science faculty in 2001 – 2002 is
(a) 27.8%
(b) 29.6%
(c) 30.2%
(d) 26.9%

76. The percentage of students in Law faculty in 2003 – 04 is
(a) 15.6%
(b) 16.7%
(c) 14.8%
(d) 18.5%

77. Percentage of increase in Science students in 2003 – 04 over 2001-2002 is

DIRECTIONS (Qs. 78-81): The following pie-chart shows the marks scored by a student in different subject – viz. Physics (Ph), Chemistry (Ch), Mathematical (M), Social Science (SS) and English (E) in an examination. Assuming that total marks obtained for the examination in 810, answer the questions given below.

78. The subject in which the student obtained 135 marks is
(a) Chemistry
(b) Mathematics
(c) English
(d) Physics

79. The marks obtained in English, Physics and Social Science exceed the marks obtained in Mathematics and Chemistry by

80. The difference ofmarks between Physics and Chemistry is same as that between
(a) Mathematics and English
(b) English and Social Science
(c) Chemistry and Social Science
(d) Physics and English

81. The marks obtained in Mathematics and Chemistry exceed the marks obtained in Physics and Social Science by
(a) 40
(b) 45
(c) 50
(d) 30

DIRECTIONS (Qs. 82-84) : The following graph shows the expenditure incurred in bringing a book, by a magazine producer. Study the graph and answer question.

82. What should be the central angle of the sector for the cost of the paper ?
(a) 57.6°
(b) 54.4°
(c) 56.7°
(d) 54.8°

83. If the miscellaneous charges are ₹ 6,000, the cost of paper is
(a) ₹ 12,000
(b) ₹ 18,000
(c) ₹ 15,000
(d) ₹ 24,000

84. If 5500 copies are published, miscellaneous expenditures amount to ₹ 1,848, find the cost price of 1 copy.
(a) ₹ 10.40
(b) ₹ 9.40
(c) ₹ 12.40
(d) ₹ 8.40

DIRECTIONS: (Qs. 85-86) : The pass percentage for an examination in a school is shown in the adjoining bar diagram, for males and females separately for four years. Study the diagram and answer the question.

85. The maximum percentage of students passed in the year is
(a) 2007
(b) 2008
(c) 2009
(d) 2010

86. The year in which the difference of pass percentage between male and female is maximum, is
(a) 2010
(b) 2009
(c) 2008
(d) 2007

DIRECTIONS (Qs. 87-88): The adjacent histogram shows the average pocket money received by 60 students for a span of one month. Study the diagram and answer the question.

87. Maximum number of students received pocket money between
(a) 50-80
(b) 140-170
(c) 80-110
(d) 110-140

88. The number of students who received pocket money upto ₹ 140 is
(a) 20 (b) 32
(c) 48 (d) 56

DIRECTIONS (89-93): The sub divided bar diagram given below depicts H.S. Students of a school for three years. Study the diagram and answer the questions.

89. The percentage passed in 1st division in 2008 was

90. The pass percentage in 2008 was

91. In which year the school had the best result for H.S. in respect of percentage of pass candidates ?
(a) 2008
(b) 2009
(c) 2010
(d) The percentage of pass candidates are same for the three years.

92. The number of students passed in third division in the year 2008 was
(a) 50
(b) 60
(c) 70
(d) 80

93. The percentage of the students passed in 2nd division in the year 2010 was
(a) 30%
(b) 40%
(c) 50%
(d) 60%

DIRECTIONS (94-95): Following figure is Pie-chart representing itemwise cost of manufacturing certain product. Study the chart and answer the questions.

94. Total manufacturing cost is ₹ 96,000. Then, cost of labour is
(a) ₹ 30,720
(b) ₹ 38,400
(c) ₹ 11,520
(d) ₹ 15,000

95. The difference of cost of material and direct expenses is
(a) ₹ 26,000
(b) ₹ 10,000
(c) ₹ 26,500
(d) ₹ 26,880

DIRECTIONS (Qs. 96-97): The bar graph shows the marks obtained by a student in an examination out of 100 marks in each subject. Study the diagram and answer the questions.

96. The average marks of Hindi and English is
(a) 60
(b) 65
(c) 50
(d) 55

97. The ratio of the marks of Maths and History is
(a) 4:3
(b) 6:5
(c) 8:5
(d) 3:4

DIRECTIONS (Qs. 98-99): Various expenditures incured by a publishing company for publ ishing a book in 2011 are given below. Study the chart and answer the questions.

98. Royalty of a book is less than the printing cost by

99. Price of a book is 20% above cost price. If the marked price is ₹180, then the cost of paper for a single copy, in ₹, is
(a) 42
(b) 44.25
(c) 36
(d) 22.50

100. Using the pie-chart answer the following;

If the annual income ofthe family is ₹ 60,000, then the savings is (SSC Multitasking 2014)
(a) ₹ 7,500
(b) ₹ 9,000
(c) ₹ 3,000
(d) ₹ 6,000

101. The equation of the graph shown here is

DIRECTIONS (Qs. 102-106): The following pie-chart shows the monthly expenditure of a family on ibod, house rent, clothing, education, fuel and miscellaneous. Study the pie-chart and answer questions.

102. If the expenditure for food is ₹ 9000, then the expenditure for education is (SSC Sub. Ins. 2014)
(a) ₹ 5000
(b) ₹ 5200
(c) ₹ 5400
(d) ₹ 6000

103. The central angle of the sector for the expenditure on fuel (in degrees) is (SSC Sub. Ins. 2014)
(a) 50.4
(b) 54
(c) 57.6
(d) 72

104. If the expenditure on fuel is ₹ 3000, then the total expenditure excluding expenditure on house rent and education is (SSC Sub. Ins. 2014)
(a) ₹ 11600
(b) ₹ 12000
(c) ₹ 12400
(d) ₹ 12500

105. If the percentage of expenditure on food is x% of the total percentage of expenditure on clothing, education and fuel, then x equals (SSC Sub. Ins. 2014)

106. Total percentage of expenditure on house rent, clothing and fuel is greater than the percentage of expenditure on food by (SSC Sub. Ins. 2014)
(a) 16
(b) 17
(c) 18
(d) 20

DIRECTIONS (Qs. 107-110): The bar chart representing the number of first year B.Com. students of St. Xavier’s College using different companies’ smart phones. Study bar chart and answer the question that follow:

The bar chart representing the no. of students using different smartphones. (SSC Sub. Ins. 2014)

107. The ratio of the number of boys to the number of girls using the smart phones of Samsung and Sony together is
(a) 12:13
(b) 13:12
(c) 14:11
(d) 11:14

108. What percentage of boys are using the smart phones of Samsung ?
(a) 16.52%
(b) 17.52%
(c) 18.52%
(d) 15.52%

109. What percentage of girls are using the smart phones of Nokia ?
(a) 33.58%
(b) 32.58%
(c) 30.58%
(d) 31.58%

110. The difference between the total number of students using smart phones of Samsung combined together and the total number of students using smart phone of Sony taken together is
(a) 20
(b) 60
(c) 80
(d) 40

DIRECTIONS (Qs. 112-115): Sales of Books (in thousand numbers) from Six Branches – B1, B2, B3, B4, B5 and B6 of a Publishing Company in 2000 and 2001. Study the graph and answer the question that follow:

112. Total sale of branches Bl, B3 and B5 together for both the years (in thousand numbers) is
(a) 250
(b) 310
(c) 435
(d) 560

113. Find the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years.
(a) 2:3
(b) 3:5
(c) 4:5
(d) 7:9

114. Percentage of the average sale of branches B1, B2 and B3 in 2001 and the average sale of branches B1, B3 and B6 in 2000
(a) 87.5
(b) 75
(c) 77.5
(d) 82.5

115. Find the percentage increase in the sales of books of branch B3 in the year 2001 than the branch B2.
(a) 69.2
(b) 50.8
(c) 40.9
(d) 65.7

DIRECTIONS (Qs. 116-120): The diagram shows the age distribution of the patients admitted to a hospital in a particular day. Study the diagram and answer
(SSC CHSL 2014)

116. Number of patients of age between 55 years to 60 years, who got admitted to the hospital on that day is
(a) 6
(b) 4
(c) 24
(d) 8

117. Total number of patients of age more than 55 years, who got admitted to the hospital is
(a) 4
(b) 7
(c) 9
(d) 10

118. Number of patients of age more than 40 years and less than 55 years, who got admitted to the hospital on that day is
(a) 20
(b) 30
(c) 15
(d) 12

119. Percentage of patients of ageless than 45 years, who got admitted to the hospital on that day is approximately equal to
(a) 14%
(b) 20%
(c) 37%
(d) 62%

120. About 11% ofthe patients who got admitted to the hospital on that particular day were of age
(a) either between 35 years and 40 years or between 55 years and 60 years
(b) between 60 years and 65 years
(c) between 35 years and 40 years
(d) between 35 years and 40 years and between 55 years and 60 years

DIRECTIONS (Qs. 121-123): Study the following table and answer question.

121. The ratio of the total number of students scoring marks less than 50% to that of scoring marks exactly 50% is
(a) 50:3
(b) 25:2
(c) 25:4
(d) 35:2

122. Which school has the highest number of students scoring exactly 50% marks?
(a) D
(b) E
(c) B
(d) A

123. The total number of students scoring 50% or more marks is
(a) 1250
(b) 875
(c) 775
(d) 675

DIRECTIONS (Qs. 124-127): Study the following graph which shows income and expenditure of a company over the years 2005-2009 and answer

124. The difference in profit (T in crores) of the company during 2006 and 2007 is
(a) 10
(b) 15
(c) 20
(d) 25

125. In how many years was the income of the company less than the average income of the given years?
(a) 4
(b) 3
(c) 2
(d) 1

126. The percentage increase in expenditure fo the company from 2007 to 2008 is
(a) 20
(b) 25
(c) 30
(d) 35

127. Profit of the company was maximum in the year
(a) 2009
(b) 2008
(c) 2006
(d) 2005

DIRECTIONS (Qs. 128-131): Study the bar graph and answer the question.

128. The approximate percentage increase in quantity from 1997 to 1998 was:
(a) 27.3%
(b) 27.8%
(c) 26.5%
(d) 26.9%

129. Percentage fall in value from 2000 to 2001 in:
(a) 50%
(b) 75%
(c) 25%
(d) 40%

130. The difference between the bags exported in 1999 and 2000 was.
(a) 50,000,00
(b) 1,00,000,00
(c) 1,50,000,00
(d) 2,00,000,00

131. Value per bag was minimum in the year:
(a) 2001
(b) 1999
(c) 1996
(d) 1997

DIRECTIONS (Qs. 132-135): The Expenditure of a family in a month is represented by a Pie-chart. Read it and answer thee questions. (SSC CHSL2015)

132. The ratio of the amount spent on food and clothes ?
(a) 2:5
(b) 4:1
(c) 4:5
(d) 5:1

133. The % money spent on food compared to house rent is by?
(a) 12.5%
(b) None of the options
(c) 25%
(d) 50%

134. The total money spent on clothes and miscellaneous items are:
(a) None of the options
(b) ₹ 3600
(c) ₹ 900
(d) ₹ 2000

135. If the total amount spent is ₹ 7,200. Find the amount spent on food ?
(a) ₹ 3000
(b) ₹ 4500
(c) ₹ 6000
(d) ₹ 1500

DIRECTIONS (Qs. 136-140): Study the following bar graph and answer the questions. (SSC CHSL 2015)

136. The number of years, the production of fertilizers was more than average production of the given years is:
(a) 2
(b) 1
(c) 3
(d) 4

137. The percentage increase in production of fertilizers in 2002 compared to that in 1995 is:
(a) 200%
(b) 180%
(c) 220%
(d) 240%

138. The percentage decline in the production of fetilizers from 1997 to 1998 is:
(a) 27.5% (b) 25%
(c) 26% (d) 23%

139. The average production of 1996 and 1997 is exactly equal to the average production of the years ?
(a) 2000 and 2001
(b) 1999and2000
(c) 1995 and 2001
(d) 1995 and 1999

140. The percentage increase in production as compared to previous year is maximum in year:
(a) 1999
(b) 1996
(c) 1997
(d) 2002

DIRECTIONS (Qs. 141-144): Study the following bar diagram carefully and answer the following Four Questions.
The number of the production of electronic items (TVs and LCDs) in a factory during the period from 2009 to 2013. (SSC CGL 1st Sit. 2015)

141. The total number of production of electronic items i s maximum in the year
(a) 2009
(b) 2010
(c) 2011
(d) 2013

142. The ratio of production of LCD s in the year 2011 and 2013 is
(a) 3:4
(b) 4:3
(c) 2:3
(d) 1:4

143. The difference between averages of production of TVs and LCDs from 2009 to 2012 is
(a) 600
(b) 700
(c) 800
(d) 900

144. The ratio of production of TV s in the years 2009 and 2010 is
(a) 7:6
(b) 6:7
(c) 2:3
(d) 3:2

DIRECTIONS (Qs. 145-148): The pie-chart given here shows expenditure incurred by a family on various items and their savings. Study the chart and answer the questions based on the pie-chart

145. If the monthly income is ₹ 36000 then the yearly savings is:
(a) ₹ 72000
(b) ₹ 60000
(c) ₹ 74000
(d) ₹ 70000

146. If the expenditure on education is ₹1600 more than that of housing then the expenditure on food is:
(a) ₹ 6000
(b) ₹ 12000
(c) ₹ 7000
(d) ₹ 3333

147. The ratio of expenditure on food to savings is :
(a) 2:1
(b) 3:1
(c) 3:2
(d) 10:9

148. The average marks obtained by a student in 6 subjects is 88. On subsequent verification it was found that the marks obtained by him in a subject was wrongly copied as 86 instead of 68. The correct average of the marks obtained by him is-
(a) 85
(b) 87
(c) 84
(d) 86

DIRECTIONS (Qs. 149-152): The following piechart shows the study time of different subjects of a student in a day . Study the pie chart and answer the following questions.

149. The time spent to study history and chemistry is 4 hours 30 minutes, Then the student studied physics for
(a) 1 hour 30min
(b) 2.9 hour (approx.)
(c) 2 hours
(d) 3 hours

150. If the student studied chemistry for 3 hours, then he / she studied geography for
(a) 1 hour
(b) 2 hours
(c) 1 hour 30 minutes
(d) 2 hour 30 minutes

151. If the student studied 10 hours in a day, then he/ she studied mathematics for.
(a) 3 hour
(b) 10/3 hour
(c) 1/3 hour
(d) 3/1Q hour

152. Instead of 10% , if the student spends 15% to study other subjects and the time is taken from the time scheduled to study mathematics and if he/ she used to study 20 hours per day, then the difference of time for studying mathematics per day is

(a) 30 minutes
(b) 45 minutes
(c) 1 hour
(d) 1 hour 30 minutes

DIRECTION: (Qs. 153-156): The bar graph given indicates the income of a firm. Study the graph and answer the questions given.

153. Which period shows a steady increase of income?
(a) March to May
(b) February to April
(c) February to May
(d) Insufficient data to predict

154. During which month, the ratio of the income to that of the previous month is the largest ?
(a) February
(b) March
(c) April
(d) May

155. The income of May is how many times to that of Februarey?
(a) 3.25
(b) 4
(c) 3.5
(d) 5

156. The average monthly income of the firm (in lakh rupees) is
(a) 7.6
(b) 6
(c) 8.8
(d) None of these

DIRECTIONS (Qs. 157-160): Abar graph showingthe heights of six mountain peaks. Study the bar graph and answer questions

157. The average height of all the peaks (in meters) is
(a) 7601.5
(b) 7600
(c) 7599.5
(d) 7610

158. Which peak is the second highest?
(a) B
(b) C
(c) A
(d) E

159. Write the ratio of the heights of the highest peak and the lowest peak
(a) 22:15
(b) 15:22
(c) 20:13
(d) 13:22

160. When the heights of the given peaks are written in ascending order, what is the average of the middle two peaks?
(a) 7950m
(b) 7560m
(c) 7650 m
(d) 7850 m

DIRECTIONS (Qs. 161-165): Study the following table which shows the amount of money invested (Rupees in crore) in the core infrastructure areas of two districts. A and B of a State, and answer the below five questions.

161. By approximately what percent was the total investment in the two districts A and B more in 1996 as compared to 1995?
(a) 18%
(b) 14%
(c) 21%
(d) 24%

162. The total investment in electricity and thermal energy in 1995, in these two districts A and B formed approximately what percent of the total investment made in that year?
(a) 55%
(b) 41%
(c) 52%
(d) 47%

163. In district B, the investment in which area in 1996 did show the highest percentage increase over the investment in that area in 1995?
(a) Nuclear
(b) Electricity
(c) Chemical
(d) Solar

164. Approximately how many times was the total investment in 1995 and 1996 in district B was that of total investment of district A in the same years?
(a) 1.7
(b) 2.8
(c) 2.4
(d) 1.9

165. If the total investment in district B shows the same rate of increase in 1997, as it had shown from 1995 to 1996, what approximately would be the total investment in B in 1997?
(a) ₹ 9850 crore
(b) ₹10020 crore
(c) ₹ 8540 crore
(d) ₹ 9170 crore

DIRECTIONS (Qs. 166-169):: The bar graph shows the results of an annual examination in a secondary school in a certain year. (SSC Sub Ins. 2016)

166. The ratio of the total number of boys passed to the total number of gives passed in the three classes VII, VIII and IX is
(a) 20:23
(b) 18:21
(c) 21:26
(d) 19:25

167. The average number of boys passed per class is
(a) 75
(b) 78
(c) 70
(d) 72

168. The class having the highest number of passed student is
(a) IX
(b) X
(c) VIII (d) VII

169. The class in which the number of boys passed is nearest to the average number of girls passed per class, is
(a) VIII
(b) X
(c) VI
(d) IX

DIRECTIONS (Qs. 170-173): Study the following table carefully to answer these questions: (SSC CGL 2017)

170. What is the average number of students studying Commerce Number of Students Studying Five Different Disciplines From Five Institutes from all the Institutes together?
(a) 356
(b) 360
(c) 348
(d) 344

171. Total number of students studying Arts from Insitutes A and B together is approximately what per cent of the total number of students studying computer Science from these two Institutes?
(a) 84
(b) 95
(c) 88
(d) 90

172. What is the ratio between total number of Students studying Science from Institutes C and D together and the total number of students studying Computers Science from these two Institutes together respectively?
(a) 13:12
(b) 12:13
(c) 13:15
(d) 15:13

173. What is the average number of students studying all disciplines together from institute E?
(a) 312
(b) 310
(c) 302
(d) 304

DIRECTIONS (Qs. 174-177): The pie chart given below shows the number of shoes of 5 different brands in a multi brand store. There are total 1200 shoes. (SSC CGL 2017)

174. How many shoes are there of Reebok brand?
(a) 230
(b) 276
(c) 286
(d) 216

175. What is the difference in number of shoes of Puma and Vans?
(a) 96
(b) 156
(c) 84
(d) 112

176. The difference between the number of shoes of Reebok and Nike is same as the difference between which of the following two brands?
(a) Puma and Adidas
(b) Reebok and Adidas
(c) Vans and Nike
(d) Nike and Adidas

177. Puma shoes are how much percent more than the Nike shoes?
(a) 14.28
(b) 16.66
(c) 25
(d) 21,33

DIRECTIONS (Qs. 178-181): The pie chart given below shows the break – up of number of hours of teaching various subjects at an institute by Mr. Raghav.

178. If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?
(a) 15
(b) 20
(c) 25
(d) 40

179. Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic Ratio?
(a) 46
(b) 51.75
(c) 69
(d) 103.5

180. If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught?
(a) 136
(b) 184
(c) 216
(d) 232

181. A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?
(a) 17.28
(b) 18
(c) 19.44
(d) 36

DIRECTIONS (Qs. 182-185): The pie chart given below shows the percentage of time taken by different processes in making a car.

182. If total time taken to make a car is 300 hours, then what is the total time (in hours) taken in paint and frame?
(a) 99
(b) 72
(c) 105
(d) 66

183. If time taken in seats is 192 hours, then what is the time taken (in hours) in glass?
(a) 256
(b) 352
(c) 416
(d) 278

184. If total time taken in engine and tyres is 127.5 hours, then what is the difference (in hours) in time taken by frame and glass respectively?
(a) 27.5
(b) 12.5
(c) 40
(d) 35

185. 15% of total time is spent on quality check and this time is equally taken from all other processes. So What will be the new sectorial angle (in degrees) made by total time of seats and glass?
(a) 28.6
(b) 32.4
(c) 35.8
(d) 31.6

DIRECTIONS (Q. 186): Refer the below data table and answer following Question. (SSC CHSL 2017)

186. What is the average bonus (in rupees)?
(a) 5419995
(b) 160000
(c) 361333
(d) 126000

187. Refer the below data table and answer the following Questions:- (SSC CHSL 2017)

For which of the following pairs of years the total exports from the three Companies together are equal?
(a) 2011 & 2012
(b) 2013 & 2015
(c) 2011 & 2014
(d) 2014 & 2015

DIRECTIONS (Qs. 188-189): Refer the below data table and answer the following Question. (SSC CHSL 2017)

188. What was the total Profit or Loss of the company in last 5 years?
(a) Profit of ₹ 15 crores
(b) Loss of ₹ 5 crores
(c) Loss of ₹ 15 crores
(d) Profit of ₹ 25 crores

189. Refer the below data table and answer following Question.
Jewellery was what percent of total exports?
(a) 25 percent
(b) 27.5 percent
(c) 22.5 percent
(d) 20 percent

DIRECTIONS (Qs. 190-191): The following bar diagram graph depicts the sales of items (in lakhs) in a departmental store from April to August in the current year. Study the graph and answer the following questions using the data provided here. (SSC MTS 2017)

190. The sales in july is how many times to sales in May?
(a) 300
(b) 3
(c) 2.5
(d) 2

191. The average monthly sale (in lakhs) is:
(a) 600
(b) 780
(c) 650
(d) 720

DIRECTIONS (Qs. 192-195) : The bar graph given below represents the total population and male population (in ‘000) of a city, during the period of2013 to 2016. (SSC Sub. Ins. 2017)

192. What is the ratio of male and female population respectively in 2015?
(a) 12:7
(b) 5:7
(c) 7:5
(d) 5:3

193. In 2016 male population is how much percent more than the female population?
(a) 25
(b) 20
(c) 23
(d) 28

194. In 2014 female population is what percent of total population?
(a) 62.96
(b) 37.03
(c) 20
(d) 31.13

195. Female population in 2015 is what percent of female population is 2014?
(a) 25
(b) 80
(c) 150
(d) 125

DIRECTIONS (Qs. 196-200): The pie chart given below shows the expenditure (in percentage) of Mahesh. The monthly income of Mahesh is ₹ 26000. (SSC Sub. Ins. 2017)

196. How much does he spend (in ₹) on Rent?
(a) 2080
(b) 2275
(c) 2470
(d) 2840

197. How much more does he spend (in ₹) on the saving and fuel taken together than transport?
(a) 5850
(b) 6060
(c) 7020
(d) 8420

198. Had his income been ₹ 22,000, how much less he would have spend on Miscellaneous (in ₹)?
(a) 510
(b) 680
(c) 765
(d) 935

199. If he invests 65% of his savings on purchasing gold then how much amount (in ₹) does he spend on gold?
(a) 3312
(b) 4124
(c) 3522
(d) 3718

200. What will be the approximate difference (in ₹) between the average expenditure on saving, rent and fuel and average expenditure on food, transport and savings?
(a) 433
(b) 444
(c) 417
(d) 467

Hints & Solutions

SSC Mathematics Topic Wise Solved Papers – Simplification and Square & Cube Root

April 12, 2018 by Anthony Leave a Comment

SSC Mathematics Topic Wise Solved Papers – Simplification and Square & Cube Root

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

2. The sum of the series

4. The square root of 0.09 is (SSC CGL 1^stSit. 2010)
(a) 0.30 (b) 0.03
(c) 0.81 (d) 0.081

6.
By what least number should 675 be multiplied so as to obtain a perfect cube number ? (SSC CGL 2^nd Sit. 2010)
(a) 3 (b) 5
(c) 24 (d) 40

10.

11.

12.

13.

14.

15.

16.

17.

18.
Out of six consecutive natural numbers, if the sum of first three is 27, what is the sum of the other three ? (SSC CGL 2^nd Sit. 2010)
(a) 36 (b) 35
(c) 25 (d) 24

19.

20.

21.

22.

23.

24.

25.

26.

27.
If the sum of two numbers be multiplied by each number separately, the products so obtained are 247 and 114. The sum of the numbers is (SSC CGL 2^nd Sit. 2011)
(a) 19 (b) 20
(c) 21 (d) 23

28. Find a number, one-seventh of which exceeds its eleventh part by 100. (SSC CGL 2^nd Sit. 2011)
(a) 1925 (b) 1825
(c) 1540 (d) 1340

29.

30.

31.

32.
A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been (SSC CGL 2^nd Sit. 2011)
(a) 124 (b) 122
(c) 118 (d) 114

33.
Last year my age was a perfect square number. Next year it will be a cubic number. What is my present age? (SSC Sub. Ins. 2012)
(a) 25 years (b) 27 years
(c) 26 years (d) 24 years

34.

35.

36.

37.

38.
From 9.00 AM to 2.00 PM, the temperature rose at a constant rate from 21°C to 36°C. What was the temperature at noon ? (SSC CHSL 2012)
(a) 27°C (b) 30°C
(c) 32°C (d) 28.5°C

39.

40.

41.

42.
A farmer divides his herd of n cows among his four sons, so that the first son gets one-half the herd, the second one fourth, the third son 1/5 and the fourth son 7 cows. Then the value of n is (SSC CGL 2012)
(a) 240 (b) 100
(c) 180 (d) 140

43.
By what least number should 675 be multiplied to obtain a number which is a perfect cube? (SSC CGL 2012)
(a) 7 (b) 8
(c) 5 (d) 6

44.

45.

46.

47.
If 21 is added to a number, it becomes 7 less than thrice of the number. Then the number is (SSC CGL 2012)
(a) 14 (b) 16
(c) 18 (d) 19

48.

49.

50.

51.

52.

53.

54.

55.

56.
If a number is as much greater than 31 as it is less than 75, then the number is (SSC CGL 1^stSit. 20130)
(a) 53 (b) 106
(c) 44 (d) 74

57.

58.
Number of digits in the square root of 62478076 is: (SSC CGL 2013)
(a) 3 (b) 4
(c) 5 (d) 6

59.

60.

61.
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction. (SSC CGL 2013)

62.

63.

64.
The smallest positive integer which when multiplied by 392, gives a perfect square is (SSC CGL 2^nd Sit. 2013)
(a) 2 (b) 3
(c) 5 (d) 7

65.
The fourth root of 24010000 is (SSC CGL 2^nd Sit. 2013)
(a) 7 (b) 49
(c) 490 (d) 70

66.
The greatest 4 digit member which is a perfect square, is (SSC CGL 2^nd Sit. 2013)
(a) 9999 (b) 9909
(c) 9801 (d) 9081

67.

68.
Which one of the following is the minimum value of the sum of two integers whose product is 24? (SSC CGL 2^nd Sit. 2013)
(a) 25 (b) 11
(c) 8 (d) 10

69.

70.

71.

72.

73.

74.

75.
Ram left 1/3 of his property to his widow and 3/5 of the remainder to his daughter. He gave the rest to his son who received ? 6,400. How much was his original property worth? (SSC CHSL 2014)
(a) ₹ 16,000 (b) ₹ 32,000
(c) ₹ 24,000 (d) ₹ 1,600

76.
Which on of the following is true? (SSC CHSL 2014)

77.
Arrange the following in ascending order 3³⁴, 2⁵¹, 7¹⁷, we get (SSC CGL 1^st Sit. 2014)
(a) 3³⁴ > 2⁵¹ > 7¹⁷ (b) 7¹⁷>2⁵¹ >3³⁴(c) 3³⁴ >7¹⁷>2⁵¹ (d) 2⁵¹ > 3³⁴> 7¹⁷

78.
2km 5m is equal to: (SSC Sub. Ins. 2015)
(a) 2.005 km (b) 2.0005 km
(c) 2.5 km (d) 2.05 km

79.
The simplified value of

80.

81.

82.
The simplified value of following is:

83.
In an exam the sum of the scores of A and B is 120, that of B and C is 130 and that of C and A is 140. Then the score of C is: (SSC CHSL 2015)
(a) 65 (b) 60
(c) 70 (d) 75

84.
The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal. The numbers are (SSC CGL 1^stSit. 2015)
(a) 4,12,12,20 (b) 5,11,13,19
(c) 6,10,14,18 (d) 9,7,15,17

85.

86.
Choose the incorrect relation(s) from the following:

87.

88.

89.

90.

91.

92.

93.

94.

95.

Hints & Solutions

1. (c)

2. (a)

3. (b)

4. (a)

5. (c)

6. (b)

7. (a)

8. (b)

9. (a)

10. (b)

11. (b)

12. (a)

13. (c)

14. (d)

15. (b)

16. (c)

17. (d)

18. (a)

19. (d)

20. (b)

21. (a)

22. (a)

23. (b)

24. (b)

25. (b)

26. (b)

27. (a)

28. (a)

29. (d)

30. (a)

31. (b)

32. (b)

33.
(c) By going options, 26 years is the present age. Present age be 26, then last year age was 25 which represents a perfect square and next year age would be 27 which represents a cubic number.

34. (a)

35. (b)

36. (d)

37. (a)

38. (b)

39. (a)

40. (a)

41. (b)

42. (d)

43. (c)

44. (d)

45. (c)

46. (b)

47. (a)

48. (c)

49. (b)

50. (c)

51. (c)

52. (d)

53. (d)

54. (d)

55. (b)

56. (a)

57. (d)

58. (b)
When no. of digit in a no. is 7 or 8 then in square root will be 4.

59. (b)

60. (d)

61. (d)

62. (d)

63. (b)

64. (a)

65. (d)

66. (c)

67. (a)

68. (d)
Product of 2 no is =24
possible pair of factor =(1,24) (2,12)(3,8) (4,6)
i,e.,4+6 is minimum = 10

69. (d)

70. (b)

71. (b)

72. (d)

73. (a)

74. (d)

75. (c)

76. (a)

77. (b)

78. (a)

79. (d)

80. (c)

81. (c)

82. (c)

83. (d)

84. (c)

85. (c)

86. (c)
By squaring the given relations, we get (i) and (iii) are incorrect relations from the given statement.

87. (d)

88. (d)

89. (d)

90. (d)

91. (c)

92. (a)

93. (b) Here,

94. (b)

95. (b) According to question.

SSC Mathematics Topic Wise Solved Papers – Number System and HCF & LCM

April 10, 2018 by Anthony Leave a Comment

SSC Mathematics Topic Wise Solved Papers – Number System and HCF & LCM

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

1. The H.C.F. and L.C.M. of two numebrs are 8 and 48 respectively. If one of the numbers is 24, then the other number is (SSC CGL 1^st Sit. 2010)
(a) 48
(b) 36
(c) 24
(d) 16

2. The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20,28,32 and 35, is (SSC CGL 1^st Sit. 2010)
(a) 1120
(b) 4714
(c) 5200
(d) 5600

3. The ninth term of the sequence 0, 3,8,15,24, 35,…. is (SSC CGL 1^st Sit. 2010)
(a) 63
(b) 70
(c) 80
(d) 99

4. A number, when divided by 114, leaves remainder 21. If the same number is divided by 19, then the remainder will be (SSC CGL 1^st Sit. 2010)
(a) 1
(b) 2
(c) 7
(d) 17

5. Two numbers are in the ratio 3 : 4. Their L.C.M. is 84. The greater number is (SSC CGL 1^stSit. 2010)
(a) 21
(b) 24
(c) 28
(d) 84

6. The sixth term of the sequence 2.6. 11. 17 is (SSC CGL 1^st Sit. 2010)
(a) 24
(b) 30
(c) 32
(d) 36

7. A number, when divided by 136, leaves remainder 36. Ifthe same number is divided by 17, the remainder will be (SSC CGL 2^nd Sit. 2010)
(a) 9
(b) 7
(c) 3
(d) 2

8. A 4-digit number is formed by repeating a 2-digit number such as 1515,3737, etc. Any number of this form is exactly divisible by (SSC CGL 2^ndSit. 2010)
(a) 7
(b) 11
(c) 13
(d) 101

9. The H.C.F. and L.C.M. of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is (SSC CGL 2^ndSit. 2010)
(a) 36
(b) 48
(c) 72
(d) 96

10. The sum of two numbers is 36 and their H.C.F and L.C.M. are 3 and 105 respectively. The sum of the reciprocals of two numbers is (SSC CGL 2^ndSit. 2010)
(a) $\frac { 2 }{ 35 }$
(b) $\frac { 3 }{ 25 }$
(c) $\frac { 4 }{ 35 }$
(d) $\frac { 2 }{ 25 }$

11. If ‘n’ be any natural number, then by which largest number (n³ – n) is always divisible ? (SSC CGL 2^nd Sit. 2010)
(a) 3
(b) 6
(c) 12
(d) 18

12. How many perfect squares lie between 120 and 300 ? (SSC CGL 2^nd Sit. 2010)
(a) 5
(b) 6
(c) 7
(d) 8

13. The remainder when 3²¹ is divided by 5 is (SSC CGL I^s‘Sit. 2011)
(a) 1
(b) 2
(c) 3
(d) 4

14. The last digit of (1001 )²⁰⁰⁸ + 1002 is (SSC CGL 1^st Sit. 2011)

(a) 0
(b) 3
(c) 4
(d) 6

15. If x * y = (x + 3)²(y-l), then the value of 5 *4 is (SSC CGL 1^stSit. 2011)

(a) 192
(b) 182
(c) $\sqrt { 2 }$
(d) 356

16. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.? (SSC CGL 1^st Sit. 2011)
(a) 8
(b) 12
(c)24
(d) 35

17. A number when divided by 49 leaves 32 as remainder. This number when divided by 7 will have the remainder as (SSC CGL 1^stSit. 2011)
(a) 4
(b) 3
(c) 2
(d) 5

18. The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54 seconds respectively. If they all change simultaneously at 10 : 15 :00 AM, then at what time will they again.change simultaneously? (SSC CGL 1^stSit. 2011)
(a) 10:16:54 AM
(b) 10:18:36 AM
(c) 10:17:02 AM
(d) 10:22:12AM

19. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345, is (SSC CGL 2^ndSit. 2011)
(a) 50
(b) 6
(c) 60
(d) 5

20. If 17200 is divided by 18, the remainder is (SSC CGL 2^ndSit. 2011)
(a) 1
(b) 2
(c) 16
(d) 17

21. The unit digit in the sum of (124)³⁷² + (124)³⁷³ is (SSC CGL 2^ndSit. 2011)
(a) 5
(b) 4
(c) 2
(d) 0

22. If a * b = a^b, then the value of 5 * 3 is (SSC CGL 2^ndSit. 2011)
(a) 125
(b) 243
(c) 53
(d) 15

23. Which one of the following will completely divide 5⁷¹ + 5⁷²+ 5⁷³? (SSC CGL 2^ndSit. 2011)
(a) 150
(b) 160
(c) 155
(d) 30

24. L.C.M. oftwo numbers is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers? (SSCCGL 2^ndSit. 2011)
(a) 140
(b) 80
(c) 60
(d) 70

25. When ‘n’ is divisible by 5 the remainder is 2. What is the remainder when n² is divided by 5? (SSCCGL 2^ndSit. 2011)
(a) 2
(b) 3
(c) 1
(d) 4

26. Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time they meet at the starting point for the first time? (SSC CGL 2^ndSit. 2011)
(a) 1800 seconds
(b) 3600 seconds
(c) 2400 seconds
(d) 4800 seconds

27. The greatest number that can divide 140, 176, 264 leaving remainders of 4,6, and 9 respectively is (SSC Sub. Ins. 2012)
(a) 85
(b) 34
(c) 17
(d) 2

28. There are 4 terms in an A.P. such that the sum of two means is 110 and product of their extremes is 2125. The 3^rd term is (SSC Sub. Ins. 2012)
(a) 65
(b) 75
(c) 55
(d) 45

29. The number nearest to 75070 which is divisible by 65, is (SSC CGL 1^stSit. 2012)
(a) 75070
(b) 75075
(c) 75010
(d) 75065

30. The least number which when divided by 35, 45, 55 leaves the remainder 18,28,38 respectively is (SSC CGL 1^st Sit. 2012)
(a) 3448
(b) 3482
(c) 2468
(d) 3265

31. A three-digit number 4a3 is added to another three-digit number 984 to give the four digit number 13b7 which is divisible by 11. Then the value of (a + b) is: (SSC CGL 1^st Sit. 2012)
(a) 11
(b) 12
(c) 9
(d) 10

32. The greatest number that will divide 19,35 and 59 to leave the same remainder in each case is: (SSC CGL 1^st Sit. 2012)
(a) 9
(b) 6
(c) 7
(d) 8

33. The next term of the series -1,6,25,62,123,214,______s: (SSC CGL 1^st Sit. 2012)
(a) 345
(b) 143
(c) 341
(d) 343

34. The next term of the series 1, 5 12,24,43 is (SSC CGL 1^st Sit. 2012)
(a) 51
(b) 62
(c) 71
(d) 78

35. The least multiple of 13 which when divided by 4, 5, 6, 7 leaves remainder 3 in each case is (SSC CGL 2^ndSit. 2012)
(a) 3780
(b) 3783
(c) 2520
(d) 2522

36. What would be the sum of 1+3 + 5 + 7 + 9+11 + 13 + 15 +……………up to 15th term? (SSC CGL 2^ndSit. 2012)
(a) 250
(b) 240
(c) 225
(d) 265

37. The least number which when divided by 48,64,90,120will leave the remainders 38,54,80,110 respectively, is (SSC CGL 2^ndSit. 2012)
(a) 2870
(b) 2860
(c) 2890
(d) 2880

38. If 13 + 23 +…………….+ 93 = 2025, then the approx, value of (0.11)³ + (0.22)³ +………………+ (0.99)³ is (SSC CGL 2^ndSit. 2012)
(a) 0.2695
(b) 0.3695
(c) 2.695
(d) 3.695

39. With a two digit prime number, if 18 is added, we get another prime number with digits reversed. How many such numbers are possible? (SSC CGL 2^ndSit 2012)
(a) 2
(b) 3
(c) 0
(d) 1

40. If x= $\frac { \sqrt { 3 } -\sqrt { 2 } }{ \sqrt { 3 } +\sqrt { 2 } }$ and y = $\frac { \sqrt { 3 } +\sqrt { 2 } }{ \sqrt { 3 } -\sqrt { 2 } }$ than the value of x³+ y³is: (SSC Sub. Ins. 2013)
(a) 950
(b) 730
(c) 650
(d) 970

41. The ratio oftwo numbers is 3 : 4 and their HCF is 5. Their LCM is: (SSC Sub. Ins. 2013)
(a) 10
(b) 60
(c) 15
(d) 12

42. L.C.M. of $\frac { 2 }{ 3 } ,\frac { 4 }{ 9 } ,\frac { 5 }{ 6 }$ is
(a) $\frac { 20 }{ 27 }$
(b) $\frac { 8 }{ 27 }$
(c) $\frac { 20 }{ 37 }$
(d) $\frac { 10 }{ 3 }$

43. ‘a’ divides 228 leaving a remainder 18. The biggest two-digit value of ‘a’ is (SSC CHSL 2013)
(a) 30
(b) 70
(c) 21
(d) 35

44. If the sum of the digits of any integer lying between 100 and 1000 is subtracted from thenumber, the result always is (SSC CHSL 2013)
(a) divisible by 5
(b) divisible by 6
(c) divisible by 2
(d) divisible by 9

45. The fifth term ofthe sequence for which t₁= 1, t₂ = 2 and t_n + 2 = t_n + 1, is is (SSC CGL 1^st Sit. 2013)
(a) 5
(b) 10
(c) 6
(d) 8

46. Product of two co-prime numbers is 117. Then their L.C.M. is (SSC CGL 2013)
(a) 13
(b) 39
(c) 117
(d) 9

47. A number x when divided by 289 leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value ofy is (SSC CGL 2nd Sit. 2013)
(a) 3
(b) 1
(c) 5
(d) 2

48. The sum of the squares of the digits of the largest prime number in two digits is (SSC Multitasking 2014)
(a) 148
(b) 130
(c) 97
(d) 118

49. Find the number lying between 900 and 1000 which when divided by 38 and 57 leaves in each case a remainder 23. (SSC Multitasking 2014)
(a) 912
(b) 926
(c) 935
(d) 962

50. The next term of the sequence,

51. Three tankers contain 403 litres, 434 litres, 465 litres of diesel respectively. Then the maximum capacity of a container that can measure the diesel of the three container exact number oftimesis (SSC Sub. Ins. 2014)
(a) 31 litres
(b) 62 litres
(c) 41 litres
(d) 84 litres

52. The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is (SSC CHSL 2014)
(a) 147
(b) 528
(c) 132
(d) 264

53. A teacher wants to arrange his students in an equal number of rows and columns. Ifthere are 1369 students, the number of students in the last row are (SSC CHSL 2014)
(a) 37
(b) 33
(c) 63
(d) 47

54. The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are: (SSC CHSL 2014)
(a) 10
(b) 12
(c) 9
(d) 8

55. If the product of first fifty positive consecutive integers be divisible by 7ⁿ, where n is an integer, then the largest possible value of n is (SSC CGL 1^stSit. 2014)
(a) 7
(b) 8
(c) 10
(d) 5

56. The smallest five digit number which is divisible by 12,18 and 21 is: (SSC CHSL 2015)
(a) 50321
(b) 10224
(c) 30256
(d) 10080

57. If 1³ + 2³ …………+10³-3025, then the value of 2³ + 4³ +……….+ 20³ is: (SSC CHSL 2015)
(a) 5060
(b) 12100
(c) 24200
(d) 7590

58. The least number that should be added to 2055 so that the sum is exactly divisible by 27: (SSC CGL 1^stSit. 2015)
(a) 24
(b) 27
(c) 31
(d) 28

59. The least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 2 in each case is: (SSC CGL 2^nd Sit. 2015)
(a) 178
(b) 182
(c) 176
(d) 180

60. What least value must be assigned to ‘*’ so that the numbers 451*603 is exactly divisible by 9? (SSC CGL 1^stSit. 2016)
(a) 7
(b) 8
(c) 5
(d) 9

61. If X and Y are the two digits of the number 347 XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)
(a) 2
(b) 4
(c) 6
(d) 8

62. How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7? (SSC CGL 2017)
(a) 8
(b) 9
(c) 10
(d) 12

63. Which value among $\sqrt [ 3 ]{ 5 } ,\sqrt [ 4 ]{ 6 } ,\sqrt [ 6 ]{ 12 } ,\sqrt [ 12 ]{ 276 }$ is the largest? (SSC CGL 2017)
(a) $\sqrt [ 3 ]{ 5 }$
(b) $\sqrt [ 4 ]{ 6 }$
(c) $\sqrt [ 6 ]{ 12 }$
(d) $\sqrt [ 12 ]{ 276 }$

64. By which least number should 5000 be divided so that it becomes a perfect square? (SSC CGL 2017)
(a) 2
(b) 5
(c) 10
(d) 25

65. What is the LCM (least common multiple) of 57 and 93? (SSC CHSL 2017)
(a) 1767
(b) 1567
(c) 1576
(d) 1919

66. Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number. (SSC CHSL 2017)
(a) 39
(b) 93
(c) 63
(d) 36

67. The least number of five digits exactly divisible by 88 is: (SSC MTS 2017)
(a) 10088
(b) 10023
(c) 10132
(d) 10032

68. Of the three numbers, the first is twice the second, and the second is twice the third. The average of the reciprocal of the numbers is 7/12. The numbers are: (SSC MTS 2017)
(a) 20,10,5
(b) 4,2,1
(c) 36,18,9
(d) 16,8,4

69. What is the smallest value that must be added to 709, so that the resultant is a perfect square? (SSC Sub. Ins. 2017)
(a) 8
(b) 12
(c) 20
(d) 32

70. Which one among $\sqrt { 10 } +\sqrt { 4 } ,\sqrt { 11 } +\sqrt { 3 } ,\sqrt { 7 } +\sqrt { 7 }$ is the smallest number? (SSC Sub. Ins. 2017)
(a) $\sqrt { 10 } +\sqrt { 4 }$
(b) $\sqrt { 11 } +\sqrt { 3 }$
(c) $\sqrt { 7 } +\sqrt { 7 }$
(d) All are equal

71. If 34N is divisible by 11, then what is the value of N (SSC Sub. Ins. 2017)
(a) 1
(b) 3
(c) 4
(d) 9

Hints & Solution

1. (d)

2. (b)

3. (c)

4. (b)
If the first divisor is a multiple of second divisor. Then, remainder by the second divisor.
∴ Remainder = 21 ÷5-19 = 2

5. (c)

6. (c)

7. (d)
If the first divisor be a multiple of the second divisor, then required remainder = remainder obtained by dividing the first remainder (36)
by the second divisor (17) = 2
∵ 17 is a factor of 136
∴ Remainder when 36 is divided by 17 = 2

8. (d)
xyxy=xy x 100+xy
= xy(100+ 1) = 101 xxy
Hence, the number is exactly divisible by 101.

9. (b)

10. (c)

11. (b)

12. (c)

13. (c)

14. (b)
Last digit of (1001 )²⁰⁰⁸ + 1002 = 1 +2 = 3

15. (c)

16. (d)
HCF must be a factor of LCM from option 35 is not factor of 120.

Alternate Method:
If two number are in the form of ax and bx then x is
H.C.F and a x b x x is their L.C.M
Hence L.C.M is always divisible by H.C.F.

17. (a)
Here, the first divisor i.e. 49 is multiple of second divisor i.e. 7.
∴ Required remainder = Remainder obtained on
dividing 32 by 7 =4

18. (b)
LCM of 24,36 and 54 seconds
= 216 seconds = 3 minutes 36 seconds
∴ Required time = 10 :15 :00+
3 minutes 36 seconds = 10 :18 : 36 a.m.

19. (b)

20. (a)

21. (d)

Unit’s digit of the sum = 6+4=0

22. (a)

23. (c)

24. (d)

25. (d)
Required remainder = Remainder obtained by dividing 2² by 5.
Remainder =4

26. (a)
Required time = LCM of 200,300,360 and 450 seconds
= 1800 seconds.

27. (c)

28.(a)

29. (b)

30. (a)

31. (d)

32. (d)

33. (c)

34. (c)

35. (b)

36. (c)

37. (a)

38. (c)

39. (a)

40. (d)

41. (b)

42. (c)

43.(b)
228 – 18 = 210 is exactly divisible biggest two digit no. i.e. 70

44. (d)
(100 x+ 10 y + z)-(x+y + z) = 99 x + 9 y
= 9(11 x + y)

45. (d)
t_{n + 2} = t_n+t_n+1t₂ – t₂ +t₂ = 3
t₄ = t₂ +t₂ = 3 + 2 = 5
t₅ = ^t4 ^{+ t}3 ^{= 3 + 5 = 8}

46. (c)
HCF of two-prime numbers = 1
∴ Product of numbers = their LCM =117

47. (b)
Here, the first divisor (289) is a multiple of second
divisor (17).
∴ Required remainder = Remainder obtained on dividing 18 by 17 = 1

48. (b)
Largest two digit prime number is 97
9²+ ₇²= 81 +49 = 130

49. (c)
L.C.M of (38,57)= 114
Multiple of 114 between 900 and 1000 = 912
number which leaves 23 = 912 + 23 = 935

50. (a)
H.C.F. of 403,434 and 465 is 31.

52. (c)

53. (a)
If they are equal number of rows and columns then,

54. (b)

55. (b)
Product of first fifty positive consecutive integers = 1 x 2 x

56. (d)

57. (c)

58. (a)

59. (b)

60. (b)

61. (a)
347XY as 347X0. Since 8 is a factor of 80.
347X0 is divisible by 8. It means last three digits 7X0 is divisible by 8.
Hence, X is 2 or 6
if X = 6, number is 34760. But this is not divisible by 80.
ifX = 2, number is 34720, which is divisible by 80.
Therefore, number is 34720 with X = 2 and Y = 0.
∴ x + y = 2 + 0 = 2.

62. (c)
LCM of 5 and 7 = 35
So, the numbers divisible by both 5 and 7 are multilpe of 35. Between 300 and 650. We have 10 multiple of 35. They are: 315,350,385,420,455,490,525,560,595, 630.

63. (a)

64. (a)
According to option,
5000 ÷ 2 = 2500
Hence, 2500 is a perfect square of 50.

65. (a)
LCM of 57 and 93,

66. (a)
Let digit at ten’s place be x and digit at unit’s place be y.
∴The number = 10x + y
When digit are interchanged, the new number = 10y + x

67. (d)
The smallest number of 5 digits = 10000

68. (c)
Let third number = x then,
second number = 2x first number = 4x
According to question

69. (c)
According to question

70. (b)
Here,

71. (a)
A number is divisible by 11, if difference of the sum of the digits at the even places and sum of digits at odd places is either 0 (zero) or a multiple of 11.