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Day 28: CDS Maths

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

  1. Question 1

    Time and Work. Asked 3 times: CDS 1 2018*, CDS 2 2021*, CDS 2 2022 (* = numbers or wording changed that year) See all 3 times it was asked

    14
    480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day ?

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  2. Question 2

    Time and Work. Asked 3 times: CDS 2 2017*, CDS 2 2019*, CDS 1 2022 (* = numbers or wording changed that year) See all 3 times it was asked

    27
    8 men or 12 women can do a piece of work in 24 days. In how many days can the work be done by 8 men and 12 women?

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  3. Question 3

    Surds, Indices and Simplification. Asked 3 times: CDS 1 2019*, CDS 1 2021*, CDS 2 2021 (* = numbers or wording changed that year) See all 3 times it was asked

    3
    What is the square root of 23−41523-4\sqrt{15} ?

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  4. Question 4

    Simple and Compound Interest. Asked 3 times: CDS 1 2017*, CDS 2 2017*, CDS 1 2021 (* = numbers or wording changed that year) See all 3 times it was asked

    33
    The difference between the compound interest (compounded annually) and the simple interest on a certain sum of money at 12% per annum for 2 years is Rs. 72. What is the principal amount?

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  5. Question 5

    Algebraic Identities and Simplification. Asked 3 times: CDS 2 2017*, CDS 1 2019*, CDS 2 2019 (* = numbers or wording changed that year) See all 3 times it was asked

    46
    What is (x−y)3+(y−z)3+(z−x)33(x−y)(y−z)(z−x)\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{3(x - y)(y - z)(z - x)} equal to ?

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