PYQ Vault
EbooksTutor

Day 13: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 2 parts)

    Mensuration 3D. This type asked 5 times: CDS 2 2016, CDS 1 2019, CDS 2 2020, CDS 2 2021, CDS 1 2025. This one: CDS 1 2025 See all 5 of this type

    Consider the following for the next two (02) items that follow : A frustum of a right cone has a top of diameter 2k, bottom of diameter 2.5k and height k.
    51
    What is the whole surface area of the frustum ?

    Tap an option to check your answer.

    52
    What is the volume of the frustum ?

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Ratios and Identities. This type asked 5 times: CDS 2 2018, CDS 2 2020, CDS 1 2021, CDS 2 2024, CDS 1 2025. This one: CDS 1 2025 See all 5 of this type

    24
    Consider the following statements : I. (cosec⁡α−sec⁡α)(\operatorname{cosec} \alpha - \sec \alpha) is always positive in the first quadrant. II. (tan⁡α−cot⁡α)(\tan \alpha - \cot \alpha) is always negative in the first quadrant. Which of the statements given above is/are correct ?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Ratios and Identities. This type asked 5 times: CDS 2 2018, CDS 2 2020, CDS 1 2021, CDS 2 2023, CDS 1 2025. This one: CDS 1 2025 See all 5 of this type

    29
    Which of the following equations is/are possible ? I. sin⁡2θ=(x+y)24xy\sin^2\theta = \frac{(x+y)^2}{4xy}, where x, y are positive unequal real quantities. II. sin⁡θ+cos⁡θ=x+1x\sin\theta + \cos\theta = x + \frac{1}{x}, where x is a positive real quantity. Select the correct answer using the code given below :

    Tap an option to check your answer.

  4. Question 4

    Simple and Compound Interest. This type asked 5 times: CDS 1 2017, CDS 2 2017, CDS 1 2021, CDS 1 2023, CDS 1 2024. This one: CDS 1 2024 See all 5 of this type

    47
    Let x be the compound interest at the end of 3 years on a sum of Rs. 1000 at the rate of 10% compounded annually and y be the simple interest at the end of 3 years on a sum of Rs. 1000 at the annual rate of 11%. What is the difference between x and y ?

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Ratios and Identities. This type asked 5 times: CDS 2 2017, CDS 2 2018, CDS 2 2021, CDS 1 2022, CDS 1 2024. This one: CDS 1 2024 See all 5 of this type

    34
    What is the minimum value of sin⁡2A+5sin⁡A+1sin⁡A\frac{\sin^2 A + 5\sin A + 1}{\sin A} for 0<A≤π20 < A \le \frac{\pi}{2} ?

    Tap an option to check your answer.