PYQ Vault

Day 202: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2017 (same type asked 4 times) See all 4 of this type

    76
    Two rectangular sheets of sizes 2π×4π2\pi \times 4\pi and π×5π\pi \times 5\pi are available. A hollow right circular cylinder can be formed by joining a pair of parallel sides of any sheet. What is the maximum possible volume of the circular cylinder that can be formed this way ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    85
    If the surface area of a sphere is reduced to one-ninth of the area, its radius reduces to

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  3. Question 3

    Surds, Indices and Simplification. Asked once: CDS 2 2017 (same type asked 4 times) See all 4 of this type

    35
    The value of 1+1+1+…\sqrt{1 + \sqrt{1 + \sqrt{1 + \ldots}}}

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  4. Question 4

    Ratio, Proportion and Variation. Asked once: CDS 2 2017 (same type asked 4 times) See all 4 of this type

    42
    There are 350 boys in the first three standards. The ratio of the number of boys in first and second standards is 2 : 3, while that of boys in second and third standards is 4 : 5. What is the total number of boys in first and third standards ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    38
    If (4a+7b)(4c−7d)=(4a−7b)(4c+7d)(4a + 7b)(4c - 7d) = (4a - 7b)(4c + 7d), then which one of the following is correct ?

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