RSMSSB LDC Exam Paper 2018 in English (Answer Key)

81. If the co-ordinates of three vertices of a square are (0, 0), (0, -4) and (4, 0), then the co-ordinates of its fourth vertex is –
(A) (4, 4)
(B) (-4, -4)
(C) (4,-4)
(D) (-4, 4)

82. In the given figure, if BD‖RS‖PQ, CP= PD=11 cm, AR=RD=3 cm, BD=x. RS=y, PQ=z. then the ratio of values of y and z is
(A) 6:11
(B) 1:2
(C) 1:1
(D) 3:11

83. The diagonals of a rectangle ABCD intersect at O. If ∠BOC= 68°, then ∠ODA is –
(A) 45°
(B) 22°
(C) 68°
(D) 56°

84. How many straight lines can be drawn through four distinct non-collinear points ?
(A) 4
(B) 12
(C) 8
(D) 6

85. Volume of a cone is 16632 cm³ and height is 9 cm. What is its base radius ?
(π= 22/7)
(A) 36 cm
(B) 48 cm
(C) 49 cm
(D) 42 cim

86. Volume of a cube is 128√2 cm³. What is the area of one face of the cube ?
(A) 32 cm²
(B) 48 cm²
(C) 40 cm²
(D) 16 cm²

87. PQ is a straight line of 13 units length. If P has the co-ordinates (2, 5) and Q has the co-ordinates (x,-7), then the value of x is –
(A) -7
(B) 7
(C) 13
(D) 3

88. Which of the following points lie on x-axis ?
(A) (-2, -2)
(B) (-2, 0)
(C) (2, 2)
(D) (0, -2)

89. The single discount which is equivalent to discount of 10%, 20%, and 25% is-
(A) 55%
(C) 54%
(B) 45%
(D) 46%

90. A sum of money doubles itself in 5 years at compound interest. It will be eight times in –
(A) 10 years
(B) 20 years
(C) 15 years
(D) 12 years

91. Raj started a business with ₹ 37,500. After some time Umed joined the business with ₹ 50,000. After one year they shared the profit equally. Find after how many months Umed joined the business.
(A) 3 months
(B) 8 months
(C) 4 months
(D) 9 months

92. A man bought 3 toffees in a rupee. How many toffees in a rupee must he sell to gain 50% ?
(A) 1
(B) 2.5
(C) 2
(D) 1.5

93. Factorization of
[x² +(a+b+c)x + ab + bc) is
(A) (x+b)(x+a+c)
(B) (x+b)(x+a+b+c)
(C) (x+c)(x+a+b)
(D) (x+a)(x+b+c)

94. The square of 50005 is –
(A) 2500500025
(B) 2505500025
(C) 2500050025
(D) 250050025

95. The value of (857375)^1/3 is –
(A) 95
(B) 65
(C) 75
(D) 85

96. 21% of a fixed number is 28, then 15% of same number is –
(A) 18
(B) 24
(C) 21
(D) 20

97. The ratio of the length and perimeter of a rectangular plot is 1:3. What is the of the ratio of the length and breadth of the plot?
(A) 1:2
(B) 4:3
(C) 3:2
(D) 2:1

98. log_ba × log_cb × log_ac is equal to
(A) log abc
(B) 1
(C) 1/abc
(D) abc

99. The quadratic equation with one root (√5+2) will be –
(A) x²+2√5x+1=0

(B) x²-2√5x+1=0
(C) x²-4x-1=0
(D) x²-4x +1=0

100. If the sum of three consecutives multiples of 13 is 390. Then second multiple of 13 is-
(A) 117
(B) 156
(C) 143
(D) 130

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