PYQ Vault
EbooksTutor

Day 40: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Time, Speed and Distance. This type asked 3 times: CDS 2 2019, CDS 1 2022, CDS 2 2023. This one: CDS 2 2023 See all 3 of this type

    14
    A man walks at an average speed of 3 km/hr from his home and reaches office 40 minutes early. If he walks at an average speed of 2 km/hr, he would reach office 40 minutes late. What is the distance between his home and office ?

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Ratios and Identities. This type asked 3 times: CDS 2 2016, CDS 1 2017, CDS 2 2023. This one: CDS 2 2023 See all 3 of this type

    30
    If xsin⁡3θ+ycos⁡3θ=sin⁡θcos⁡θx\sin^3\theta + y\cos^3\theta = \sin\theta\cos\theta and xsin⁡θ−ycos⁡θ=0x\sin\theta - y\cos\theta = 0, for every θ∈(0,π2)\theta \in \left(0, \dfrac{\pi}{2}\right), then what is x2+y2x^2 + y^2 equal to ?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Ratios and Identities. This type asked 3 times: CDS 2 2016, CDS 1 2018, CDS 2 2023. This one: CDS 2 2023 See all 3 of this type

    70
    If tan⁡A+cot⁡A=2\tan A + \cot A = 2, where 0<A<90∘0 < A < 90^\circ, then what is the value of tan⁡2A+tan⁡3A+tan⁡4A+....+tan⁡nA\tan^2 A + \tan^3 A + \tan^4 A + .... + \tan^n A ?

    Tap an option to check your answer.

  4. Question 4

    Mensuration 2D. This type asked 3 times: CDS 2 2016, CDS 1 2022, CDS 1 2023. This one: CDS 1 2023 See all 3 of this type

    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 ?

    Tap an option to check your answer.

  5. Question 5

    Mensuration 3D. This type asked 3 times: CDS 2 2016, CDS 2 2018, CDS 1 2023. This one: CDS 1 2023 See all 3 of this type

    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 ?

    Tap an option to check your answer.