SOLVED PAPER 2022 (CDS) (I) (Elementary Mathematics)Total Questions: 10051. If A, B, C are acute angles and sin(B + C - A) = cos(C + A - B) = tan(A + B - C) = 1, then what is (A + B + C) equal to?(a) 90°(b) 120°(c) 135°(d) 150°Correct Answer: (c) 135°52. If A, B, C, D are the angles of a cyclic quadrilateral, then what is the value of the following?(a) 2(b) 1(c) 0(d) -1Correct Answer: (a) 253. An aero plane is observed to be approaching the airport. It is at a distance of 10 km from the point of observation on the ground and makes an angle of elevation θ. If the aero plane is at a height of 8 km above the ground, then which one of the following is correct?(a) 0 < θ < 30°(b) 30° < θ < 45°(c) 45° < θ < 60°(d) 60° < θ < 90°Correct Answer: (b) 30° < θ < 45°54. The angle of elevation of the top of a tower of height x m from a point on the ground is found to be 60°. By going y m away from that point, it becomes 30°. Which one of the following relations is correct?(a) x = y(b) 2x = 3y(c) 2x = √3y(d) 2y = √3xCorrect Answer: (c) 2x = √3y55. What is ( sec²α + tan α ⋅ tan β- tan² α)² + (tan α - tan β)² - sec² ⋅ α sec² β to ?(a) -1(b) 0(c) 1(d) 2Correct Answer: (b) 056. If tanθ + secθ = 3, then what isthe value of 3 tanθ + 9 secθ ?(a) 15(b) 17(c) 19(d) 21Correct Answer: (c) 1957. Solved(a) Only 1(b) Only 2(c) Both 1 and 2(d) Neither 1 nor 2Correct Answer: (a) Only 158. What is the length of the chord of a unit circle which subtends an angle 2 θ at the centre, where θ < 45° ?(a) sin 2θ(b) cos 2θ(c) 2sin θ(d) 2cos θCorrect Answer: (c) 2sin θ59. If tan² θ + 3sec θ - 9 = 0, where0 < θ < 90°, then what is the value of 12 cot² θ + 3 cosec θ ?(a) (√3 + 1)²(b) (√3 + 2)²(c) (2√3 + 1)²(d) (3√3 + 1)²Correct Answer: (a) (√3 + 1)²60. Solved(a) 2(b) 1(c) ½(d) ¼Correct Answer: (c) ½Submit Quiz« Previous12345678910Next »
