PYQ Vault

Day 308: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2023

    67
    What is the maximum area that can be covered by three non-intersecting circles drawn inside a rectangle of sides 8 cm and 12 cm ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 1 2020

    87
    Out of 4 identical balls of radius rr, 3 balls are placed on a plane such that each ball touches the other two balls. The 4th4^{\text{th}} ball is placed on them such that this ball touches all the three balls. What is the distance of centre of 4th4^{\text{th}} ball from the plane ?

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  3. Question 3

    Number System. Asked once: CDS 1 2024

    25
    What is the smallest natural number n such that (n+1)×n×(n−1)×(n−2)×…3×2×1(n + 1) \times n \times (n - 1) \times (n - 2) \times \ldots 3 \times 2 \times 1 is divisible by 910 ?

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  4. Question 4

    Quadratic Equations. Asked once: CDS 2 2018

    49
    It is given that the equations x2−y2=0x^2 - y^2 = 0 and (x−a)2+y2=1(x - a)^2 + y^2 = 1 have single positive solution. For this, the value of 'a' is

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  5. Question 5

    Quadrilaterals. Asked once: CDS 2 2016

    53
    If a quadrilateral has an inscribed circle, then the sum of a pair of opposite sides equals

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