PYQ Vault

Day 168: CDS Maths

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

  1. Question 1

    Heights and Distances. Asked once: CDS 1 2020 (same type asked 4 times) See all 4 of this type

    57
    The angles of elevation of the top of a tower from two points at distances pp and qq from the base and on the same straight line are 27∘27^\circ and 63∘63^\circ respectively. What is the height of the tower?

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  2. Question 2

    Number System. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    3
    How many pairs (A, B) are possible in the number 479865AB if the number is divisible by 9 and it is given that the last digit of the number is odd ?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: CDS 2 2020 (same type asked 4 times) See all 4 of this type

    42
    When a ball is allowed to fall, the time it takes to fall any distance varies as the square root of the distance and it takes 4 seconds to fall 78.40 m. How long would it take to fall 122.50 m ?

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  4. Question 4

    Ratio, Proportion and Variation. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    22
    The monthly incomes of AA and BB are in the ratio 4 : 3. Each saves Rs. 600. If their expenditures are in the ratio 3 : 2, then what is the monthly income of AA ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2018 (same type asked 4 times) See all 4 of this type

    76
    There is a path of width 5 m around a circular plot of land whose area is 144π144\pi m2^2. The total area of the circular plot including the path surrounding it is

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