RSMSSB LDC exam paper S to Z – 2018 English Paper (Answer Key) First Shift

61. The prime factors of 5005 are –
(A) 5, 7, 13, 17
(B) 5, 11, 13, 17
(C) 3, 5, 7, 11
(D) 5, 7, 11, 13

62. Cube root of 704969 is –
(A) 89
(B) 79
(C) 69
(D) 99

63. Square of the number 3589 is –
(A) 12880921
(B) 12088921
(C) 12800921
(D) 12889021

64. 2.2 dm³ of copper is to be drawn into a cylindrical wire 0.5 cm in diameter, then the length of the wire is –
(A) 110.2 m
(B) 110 m
(C) 100 m
(D) 112 m

65. The volume of a conical tent is 1232 m³ and the area of the base is 154 m²– then its curved surface area is –
(A) 600 m²
(B) 550 m²
(C) 500 m²
(D) 625 m²

66. The outer edge of a cubical water tank with lid is 180 cm long. Thern the number of tiles covered the outer surface of the tank excluding the base with square tiles of side 30 cm is –
(A) 180
(B) 160
(C) 150
(D) 200

67. If radius of a circle is increased by 6% then area of Circle will be increased by –
(A) 12%
(B) 12.36%
(C) 12.64%
(D) 36%

68. If each side of a rectangle is increased by 20% then area of rectangle will be increased by –
(A) 20%
(B) 34%
(C) 40%
(D) 44%

69. A. B and C started a business by investing Some amount in the ratio of After 4 months. A increases his share by 50% if the total profit at the end of one year is ₹ 18,900, then C,s share in the profit is –
(A) ₹ 6,300
(B) ₹ 3,500
(C) ₹ 3,150
(D) ₹ 12,250

70. The Taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 7 km, the charge is ₹ 27 and for a distance of 5 km, the charge is ₹ 21. What is the charge per km ?
(A) ₹ 3
(B) ₹ 2
(C) ₹ 1
(D) ₹ 4

71. The values of x and y satisfying the equations and
(A) x = 6, y = 2
(B) x = 4, y = 5
(C) x = 6, y = 4
(D) x = 4, y = 6

72. The square root of 10329796 is –
(A) 2314
(B) 3214
(C) 3124
(D) 2134

73. The ratio of third proporational to 8 and 12 and the mean proporational between 4 and 9 is –
(A) 2 : 1
(B) 1 : 3
(C) 3 : 1
(D) 1 : 2

74. Thewhen of 105 × 105 ×105 is –
(A) 1,357,625
(B) 1,158,625
(C) 1,517,625
(D) 1,516,625

75. Given below in the table is the decadal data of population of a country –
The average decadal growth rate (%) of population is –
(A) ~9.82%
(B) ~5%
(C) ~6.73%
(D) ~12.21%

76. Study the following bar graph carefully to answer the question :
For which institution the difference between the appeared candidates and the passed candidates is maximum ?
(A) E
(B) C
(C) D
(D) A

77. From the top of a cliff 90 m high , the angle of depression of the top and bottorn of a tower are 30 and 60 respectively then the height of the towear is –
(A) 60 m
(B) 30 m
(C) (90-30√3) m
(D) 30 √3

78. In ㄥA triangle ABC if then the measure 2ㄥA = 3ㄥB = 6ㄥC
(A) л/4
(B) л/3
(C) л/2
(D) л/5

79. A ball of silver 4 cm in diameter is covered with gold. If the volume of the gold and silver are equal, then the thickness of gold is – (21/3 = 1.2595)
(A) 1.038 cm
(B) 0.519 cm
(C) 0.5038 cm
(D) 2 cm

80. A cube and a cuboid have the same volume . the dimensions of the cubiod are in ratio of 1 : 2 : 4. If the difference between the cost of polishing the cubiod and cube at rate of 5 per is then their volumes are –
(A) 256 m³
(B) 128 m³
(C) 64 m³
(D) 512 m³

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