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Day 73: CDS Maths

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

  1. Question 1

    Time and Work. This type asked 2 times: CDS 2 2017, CDS 1 2024. This one: CDS 1 2024 See all 2 of this type

    29
    50 men can complete a work in 40 days. They begin the work together but a batch of 5 men left after each period of 10 days. What is the time to complete the work ?

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  2. Question 2

    Time, Speed and Distance. This type asked 2 times: CDS 2 2016, CDS 1 2024. This one: CDS 1 2024 See all 2 of this type

    2
    The speeds of four cars are 2u, 3u, 4u and xu and the time taken by them to cover the same distance is xt, 4t, 3t and 2t respectively, where x, u, t are real numbers. What is the value of x ?

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  3. Question 3

    Mensuration 3D. This type asked 2 times: CDS 1 2018, CDS 2 2023. This one: CDS 2 2023 See all 2 of this type

    51
    What is the radius of the sphere passing through the corners of the cuboid with edges 8 cm, 12 cm and 24 cm ?

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  4. Question 4

    Number System. This type asked 2 times: CDS 1 2019, CDS 2 2023. This one: CDS 2 2023 See all 2 of this type

    13
    Let L be the LCM and H be the HCF of two given numbers. L and H are in the ratio 3 : 2. If the sum of the two numbers is 45, then what is the product of the numbers ?

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  5. Question 5

    Quadratic Equations. This type asked 2 times: CDS 2 2021, CDS 2 2023. This one: CDS 2 2023 See all 2 of this type

    76
    Let α\alpha and β\beta be the roots of the equation 1x+a+b=1x+1a+1b\frac{1}{x + a + b} = \frac{1}{x} + \frac{1}{a} + \frac{1}{b}; a≠0a \ne 0, b≠0b \ne 0, x≠0x \ne 0. Which one of the following is a quadratic equation whose roots are α2\alpha^2 and β2\beta^2 ?

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