SOLVED PAPER 2023 (CDS) (I) (Elementary Mathematics)

Total Questions: 100

61. What is the area of the circle (approximately) inscribed in a triangle with side lengths 12 cm, 16 cm and 20 cm?

Correct Answer: (b) 50 cm²
Solution:

62. Two times the total surface area of a solid right circular cylinder is three times its curved surface area. If h is the height and r is the radius of the base of the cylinder, then which one of the following is correct?

Correct Answer: (b) h = 2r
Solution:

63. A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the minimum number of tiles required?

Correct Answer: (d) 221
Solution:

64. How long will a man take to walk around the boundary of a square field of area 25 hectares at the rate of 5 km/h?

Correct Answer: (c) 24 min
Solution:

65. Let x be the area of a square inscribed in a circle of radius r and y be the area of an equilateral triangle inscribed in the same circle. Which one of the following is correct?

Correct Answer: (b) 27x² = 64y²
Solution:

66. If the length of a rectangle is increased by 66⅔% then by what per cent should the width of the rectangle be decreased in order to maintain the same area?

Correct Answer: (c) 40%
Solution:

67. What is the maximum area that can be covered by three non-intersecting circles drawn inside a rectangle of sides 8 cm and 12 cm?

Correct Answer: (d) 24π cm²
Solution:

68. ABCD is a square field with AB = x, A vertical pole OP of height 2x stands at the centre O of the square field. If ∠APO = θ , then what is cot θ equal to?

Correct Answer: (c) 2√2
Solution:

69. A solid iron ball is melted and 64 smaller solid balls of equal size are made using the entire volume of iron. What is the ratio of the surface area of the larger ball to the sum of the surface areas of all the smaller balls?

Correct Answer: (a) 0.25
Solution:

70. A triangle ABC has been divided into four smaller triangles P, Q, R, S whose erimeters are 16 cm, 12 cm, 4 cm and 12 cm respectively. P, R and S contain the vertices A, B and C respectively. What is the perimeter of the triangle ABC?

Correct Answer: (b) 20 cm
Solution: