PYQ Vault
EbooksTutor

Day 6: CDS Maths

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

  1. Question 1

    Ratio, Proportion and Variation. This type asked 6 times: CDS 1 2017, CDS 2 2019, CDS 1 2023, CDS 2 2023, CDS 1 2024, CDS 1 2025. This one: CDS 1 2025 See all 6 of this type

    45
    The ratio of sum of two numbers to their difference is 5:15 : 1. What is the ratio of the sum of their squares to the difference of their squares ?

    Tap an option to check your answer.

  2. Question 2

    Surds, Indices and Simplification. This type asked 6 times: CDS 2 2016, CDS 1 2019, CDS 1 2021, CDS 2 2021, CDS 1 2023, CDS 1 2025. This one: CDS 1 2025 See all 6 of this type

    41
    What is 17−415+8−215\sqrt{17 - 4\sqrt{15}} + \sqrt{8 - 2\sqrt{15}} equal to ?

    Tap an option to check your answer.

  3. Question 3

    Averages. This type asked 6 times: CDS 1 2017, CDS 1 2018, CDS 2 2019, CDS 2 2020, CDS 2 2022, CDS 2 2024. This one: CDS 2 2024 See all 6 of this type

    80
    What is the difference between the average of first 50 even natural numbers and the average of first 50 odd natural numbers ?

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Ratios and Identities. This type asked 6 times: CDS 2 2016, CDS 1 2020, CDS 1 2022, CDS 2 2022, CDS 1 2024, CDS 2 2024. This one: CDS 2 2024 See all 6 of this type

    39
    What is (cos⁡θ−sin⁡θ+1cos⁡θ+sin⁡θ−1)(cot⁡θ−cosec θ)\left(\dfrac{\cos\theta - \sin\theta + 1}{\cos\theta + \sin\theta - 1}\right)(\cot\theta - \mathrm{cosec}\,\theta) equal to ?

    Tap an option to check your answer.

  5. Question 5

    Averages. This type asked 6 times: CDS 2 2016, CDS 1 2017, CDS 1 2018, CDS 1 2020, CDS 1 2021, CDS 2 2023. This one: CDS 2 2023 See all 6 of this type

    85
    The mean of p, q, r, s and t is 280. If the mean of p, r and t is 240, what is the mean of q and s ?

    Tap an option to check your answer.