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Day 209: CDS Maths

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

  1. Question 1

    Heights and Distances. Asked once: CDS 2 2016 (same type asked 5 times) See all 5 of this type

    73
    A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30∘30^\circ. After some time, the angle of depression becomes 60∘60^\circ. What is the distance travelled by the car during this time ?

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  2. Question 2

    Mensuration 2D. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    86
    What is the area of a segment of a circle of radius r subtending an angle θ\theta at the centre ?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type

    67
    A metal solid cube of side 22 cm is melted to make a cone of height 21 cm. What is the radius of the base of the cone? (Take π=227\pi = \frac{22}{7})

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  4. Question 4

    Time, Speed and Distance. Asked once: CDS 2 2016 (same type asked 5 times) See all 5 of this type

    26
    A person can row downstream 20 km in 2 hours and upstream 4 km in 2 hours. What is the speed of the current ?

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  5. Question 5

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

    87
    In a triangle ABCABC, ADAD is the bisector of ∠BAC\angle BAC. If AB=12AB = 12 cm, BD=10BD = 10 cm and DC=5DC = 5 cm, then what is the perimeter of the triangle?

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