PYQ Vault
EbooksTutor

Day 43: CDS Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 4 parts)

    Sets. This type asked 3 times: CDS 2 2018, CDS 2 2019, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type

    Direction : Consider the following for the four (04) items that follow : 500 candidates appeared in an examination comprising tests in English, Hindi and Mathematics. 30 candidates failed in English only; 75 failed in Hindi only; 50 failed in Mathematics only; 15 failed in both English and Hindi; 17 failed in both Hindi and Mathematics; 17 failed in both Mathematics and English; 5 failed in all three tests.
    97
    What is the percentage of candidates who failed in at least two subjects?

    Tap an option to check your answer.

    98
    What is the percentage of candidates who failed in only one subject?

    Tap an option to check your answer.

    99
    What is the percentage of candidates who failed in at least one subject?

    Tap an option to check your answer.

    100
    How many candidates passed in two or more subjects?

    Tap an option to check your answer.

  2. Question 2

    Triangles. This type asked 3 times: CDS 1 2018, CDS 2 2019, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type

    77
    Consider the following statements : 1. The sum of any two sides of a triangle is less than twice the median drawn to the third side. 2. The perimeter of a triangle is greater than the sum of the three medians. Which of the above statements is/are correct?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Ratios and Identities. This type asked 3 times: CDS 1 2021, CDS 2 2021, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type

    48
    What is the minimum value of sin⁡4θ+cos⁡4θ−2sin⁡2θcos⁡2θ\sin^4\theta + \cos^4\theta - 2\sin^2\theta\cos^2\theta?

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Ratios and Identities. This type asked 3 times: CDS 2 2020, CDS 1 2021, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type

    49
    If cos⁡θ+sec⁡θ−2=0\cos\theta + \sec\theta - 2 = 0, where 0≤θ<π20 \le \theta < \frac{\pi}{2}, then what is the value of cos⁡4θ+sec⁡4θ−2\cos^4\theta + \sec^4\theta - 2?

    Tap an option to check your answer.

  5. Question 5

    Linear Equations. This type asked 3 times: CDS 2 2017, CDS 1 2019, CDS 2 2021. This one: CDS 2 2021 See all 3 of this type

    34
    The present age of a father is equal to sum of the ages of his 4 children. After ten years the sum of the ages of the children will be 1.6 times the age of their father. What is the present age of father ?

    Tap an option to check your answer.