SOLVED PAPER 2020 (CDS) (I) (Elementary Mathematics)

Total Questions: 100

61. Simplify the question

Correct Answer: (a) 0
Solution:

62. Simplify the question

Correct Answer: (c)
Solution:

63. Simplify the equation

Correct Answer: (c)
Solution:


64. What is the value of

Correct Answer: (d) 5
Solution:

65. A rectangle is 48 cm long and 14 cm wide. If the diagonal makes an angle θ with the longer side, then what is (sec θ + cosec θ) equal to?

Correct Answer: (a) ⁷⁷⁵⁄₁₆₈
Solution:



66. What is the area of the triangle having side lengths

Correct Answer: (c)
Solution:


67. If the angles of a triangle are 30° and 45° and the included side is (√3 + 1) cm, then what is the area of the triangle?

Correct Answer: (c)
Solution:


68. ABCD is a plate in the shape of a parallelogram. EF is the line parallel to DA and passing through the point of intersection O of the diagonals AC and BD. Further, E lies on DC and F lies on AB. The triangular portion DOE is cut out from the plate ABCD. What is the ratio of area of remaining portion of the plate to the whole?

Correct Answer: (d) ⅞
Solution:


69. Two circles of radii 20 cm and 16 cm intersect and the length of common chord is 24 cm. If d is the distance between their centres, then which one of the following is correct?

Correct Answer: (b) 26 cm < d < 27 cm
Solution:


70. In a circle of radius 5 cm, AB and AC are two chords such that AB=AC= 8 cm. What is the length of chord BC ?

Correct Answer: (c) 9.6 cm
Solution: