PYQ Vault

Day 156: CDS Maths

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

  1. Question 1

    Averages. Asked once: CDS 1 2018 (same type asked 6 times) See all 6 of this type

    53
    The arithmetic mean of 11 observations is 11. The arithmetic mean of the first 6 observations is 10.5 and the arithmetic mean of the last 6 observations is 11.5. What is the sixth observation?

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2021 (same type asked 6 times) See all 6 of this type

    59
    If AA, BB and CC are interior angles of a triangle ABCABC, then what is tan⁡(B+C2)+sin⁡(B+C2)−cot⁡(A2)−cos⁡(A2)\tan\left(\frac{B+C}{2}\right) + \sin\left(\frac{B+C}{2}\right) - \cot\left(\frac{A}{2}\right) - \cos\left(\frac{A}{2}\right) equal to ?

    Tap an option to check your answer.

  3. Question 3

    Circles. Asked once: CDS 1 2022 (same type asked 5 times) See all 5 of this type

    62
    A circle of radius 25 cm has a chord of length 48 cm. What is the length of the perpendicular drawn from the centre of the circle to the chord?

    Tap an option to check your answer.

  4. Question 4

    Heights and Distances. Asked once: CDS 1 2023 (same type asked 5 times) See all 5 of this type

    54
    A person on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 6 minutes for the angle of depression to change from 30∘30^\circ to 45∘45^\circ, and further tt minutes to reach the tower, which one of the following is correct ?

    Tap an option to check your answer.

  5. Question 5 (case study, 2 parts)

    Mensuration 2D. Asked once: CDS 2 2022 (same type asked 5 times) See all 5 of this type

    Consider the following for the next two (02) items that follow : A chord of length ll of a circle makes an angle 90∘90^\circ at the centre of the circle.
    74
    What is the area of the minor segment ?

    Tap an option to check your answer.

    75
    What is the area of the major segment ?

    Tap an option to check your answer.