SOLVED PAPER 2022 (CDS) (I) (Elementary Mathematics)

Total Questions: 100

81. In a triangle ABC, AB = 16cm, AC = 12cm and AD is the bisector of ∠A. If BD = 4cm then what is CD equal to?

Correct Answer: (c) 3 cm

82. An equilateral triangle of side x is inscribed in a circle of radius y. Which one of the following is correct?

Correct Answer: (b) 2y = √3x

83. ABC is a triangle right angled at B. Let D be the mid-point on AC. If BD = 6.5cm then what is AB² + BC² equal to?

Correct Answer: (b) 169 cm²

84. Water is trickling out of a completely filled cylindrical tank of height 1 m and diameter 2 m. Every second a spherical droplet of 1 cm radius trickles down from the bottom of the tank. The tank will be emptied in approximately

Correct Answer: (d) 210 h

85. The length, breadth and height of a cuboid are in the ratio 27 : 8 : 1. The cuboid is melted and recast into a cube. If p is the surface area of the cuboid and q is the surface area of the cube, then what is p/q equal to?

Correct Answer: (b) ²⁵¹⁄₁₀₈

86. In a right angled triangle ABC, BD is perpendicular on hypotenuse AC. If AC = 9 cm and AD = 4 cm, then what is AB + BC approximately equal to?

Correct Answer: (d) 12.6 cm

87. In a triangle ABC, AD is the bisector of ∠BAC. If AB = 12 cm BD = 10cm and DC = 5 cm then what is the perimeter of the triangle?

Correct Answer: (c) 33 cm

88. What is the radius of the circle inscribed in a triangle whose sides are 4 cm, 7.5 cm and 8.5 cm?

Correct Answer: (a) 1.5 cm

89. In a shower, 5 cm of rain falls. What is the volume of water that falls on 2 hectare area of land?

Correct Answer: (b) 1000 m³

90. A bicycle wheel of radius 35 cm makes n revolutions in moving 11 km. What is the value of n? (Take π = ²²⁄₇)

Correct Answer: (d) 5000