RSMSSB LDC Exam Paper 2018 in English (Answer Key)

61. A spherical ball of diameter 21 cm is melted and recast into cubes, each of side 1 cm, then the number of cubes thus formed is –
(A) 2100
(B) 4851
(C) 4410
(D) 4200

62. Which of the following pair of equations has no solution ?
(A) x -2y= 0 and 3x+4y-20 = 0
(B) x+2y-5= 0 and 2x+4y-12 = 0
(C) 2x-y= 0 and x-2y=0
(D) x+2y+1= 0 and 2x + 4y + 2 = 0

63. In figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ㄥDBC = 55° and ㄥBAC = 45°, then ㄥBCD is ________.
(A) 100°
(B) 45°
(C) 35°
(D) 80°

64. If ∆ ABC = ∆ EFG and AB = EF, then the values of x and y are –
(A) x= 1, y = 1
(B) x=1, y = 3
(C) x=1, y = 4
(D) x = 4, y = 1

65. The co-ordinate of point p which lie on y-axis and distance of 2 unit from the origin (0,0) will be –
(A) (0, 2)
(B) (1,1)
(C) (2,2)
(D) (2,0)

66. If a/3 = b/5 = c/7, then the value of a+b+c/b is-
(A) 3
(B) 1/5
(C) 1/3
(D) 5

67. Sum of length, breadth and height of a cuboid is 20 cm and the length of its diagonal is 6√6 cm. Its total surface area is –
(A) 216 cm²
(B) 246 cm²
(C) 184 cm²
(D) 616 cm²

68. If log₁₀ [log₂(log₄x)]=0, then the value of x is-
(A) 4
(B) 16
(C) 80
(D) 8

69. The length of the shadow of a vertical tower on level ground increase by 10 m, when the angle of elevation of the sun change from 45° to 30°, The height of the tower is –
(A) 5(√3-1) m / मी.
(B) 5(√3+1) m / मी.
(C) 5/√3-1 m / मी.
(D) 13 m / मी.

70. The value of cos0°cos1°cos2°……cos 100° is
(A) 0
(B) ∞
(C) 1/2
(D) 1

71. In a town number of maternal death is 50 in a year. If number of infalls bom in this year was 500, then matemal mortality rate per 1,00,000 is
(A) 1000
(B) 90,000
(C) 10,00,000
(D) 10,000

72. For the following data, the mean deviation from median is

(A) 0
(B) 9.2
(C) 3.84
(D) 3.68

73. The value of sin²1०+sin²3०+sin²5°+………
+sin²89° is –
(A) 0
(B) 45
(C) 23
(D) 22 ½

74.The mean deviation from the mean for the following marks is –
37, 48, 50, 23, 47, 58, 29, 27, 31, 40
(A) 9.5
(B) 9.8
(C) 9.7
(D) 9.6

75. The mean of 13 numbers is 24. If 3 is added to each number, then what will the new mean ? (A) 24
(B) 25
(C) 27
(D) 21

76. Consider the following pie chart to find the expenditure on Indian Military if India had a total expenditure of ₹ 120 crores.
(A) ₹ 66 crores
(B) ₹ 72 crores
(C) ₹ 54 crores
(D) ₹ 70.8 crores

77. What is the angle of elevation of the sun when the length of shadow of a vertical pole is equal to its height ?
(A) 30°
(B) 75०
(C) 60°
(D) 45°

78. If sin 2 A = cos(A-18°), then the value of A is –
(A) 18०
(B) 72°
(C) 54°
(D) 36°

79. If the diameter of a circle is 8 m, which length of are intercepts a central angle of 45° at the centre ?
(A) π m

(B) 4π m
(C) 3π m
(D) 2π m

80. In a data, 10 numbers arranged in ascending order. If the 7th observation from the beginning is increased by 4, then the median increase by
(A) 0
(B) 5
(C) 6
(D) 4

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