SOLVED PAPER 2024 (CDS) (I) (Mathematics)Total Questions: 10091. (Questions 91-93) Consider the following for the next three (03) items that follow :Consider two identical semicircles and one circle inscribed in a rectangle of length 10 cm as shown in the figure given below..(Take, π = 3.14 and √2 = 1.4)What is the area of triangle EOF?(a) 12.5 √3 cm²(b) 625 √3 cm²(c) 12.5 cm²(d) 6.25 cm²Correct Answer: (c) 12.5 cm²Solution:92. What is the area of trapezium AEFB?(a) 30 cm²(b) 25 cm²(c) 20 cm²(d) 18.75 cm²Correct Answer: (a) 30 cm²Solution: 93. What is the area of the shaded region?(a) 14.75 cm²(b) 14.25 cm²(c) 7.225 cm²(d) 7.625 cm²Correct Answer: (b) 14.25 cm²Solution:94. (Questions 94 and 95) Consider the following for the next to (02) items that follow :Consider a circle of area 9pi square unit and an equitateral triangle ABC as shown in the figure given below.What is the length of the side of the triangle ABC?(a) 2√3 unit(b) 4√3 unit(c) 6√3 unit(d) 8√3 unitCorrect Answer: (b) 4√3 unitSolution:95. What is the area of the shaded region?(a) 3(π + √3) cm²(b) 3(π + 2√3) cm²(c) 1.5(3π + 8√3) cm²(d) 6(π + 2√3) cm²Correct Answer: (a) 3(π + √3) cm²Solution:96. (Questions 96-98) Consider the following for the next three (03) items that follows:Two circles with centres at O₁ and O₂ touching each other are placed inside a rectangle of sides 9 cm and 8 cm as shown in the figure given below. What is the sum of the areas of the two circles ?(a) 17π cm²(b) 16.75π cm²(c) 16.5π cm²(d) 16.25π cm²Correct Answer: (a) 17π cm²Solution: 97. Which one of the following is correct in respect of angle 0?(a) 0 < θ < 30°(b) 30° < θ < 45°(c) 45° < θ < 60°(d) 60° < θ < 90°Correct Answer: (c) 45° < θ < 60°Solution:98. What is the area of the shaded region ?(a) (240 - 10π - πθ)/24 unit²(b) (240 - 6π - πθ)/24 unit²(c) (120 - 12π - πθ)/24 unit²(d) (240 - 12π - πθ)/24 unit²Correct Answer: (d) (240 - 12π - πθ)/24 unit²Solution:99. (Questions 99 and 100) Consider the following for the next two (02) items that follow :Let ABCD be the diameter of a circle of radius 6 cm. The lengths AB, BC and CD are equal. Semi- circles are drawn with AB and BD as diameters as shown in the figure given below. What is the ratio of the area of the shaded region to that of the non-shaded region?(a) 2 : 7(b) 2 : 5(c) 3 : 5(d) 5 : 8Correct Answer: (a) 2 : 7Solution: 100. What is the perimeter of the shaded region?(a) 24π cm(b) 18π cm(c) 15π cm(d) 12π cmCorrect Answer: (d) 12π cmSolution:Perimeter of shaded region, = Perimeter of AED + Perimeter of AFB + Perimeter of BGD = π(6) + π(2) + π(4) = 6π + 2π + 4π = 12πSubmit Quiz« Previous12345678910
