PYQ Vault

Day 332: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 2 2017

    23
    The non-zero solution of the equation a−x2bx−b−xc=c−xb−b−x2cx\frac{a - x^2}{bx} - \frac{b - x}{c} = \frac{c - x}{b} - \frac{b - x^2}{cx}, where b≠0,c≠0b \ne 0, c \ne 0 is

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  2. Question 2

    Mensuration 2D. Asked once: CDS 2 2019

    75
    Considering two opposite vertices of a square of side 'a' as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors ?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 2 2017

    74
    From a solid cylinder whose height is 8 cm and of base radius 6 cm, a conical cavity of height 8 cm and of base radius 6 cm is formed by hollowing out. What is the inner surface area of the cavity ?

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  4. Question 4

    Number System. Asked once: CDS 1 2020

    47
    What is the least perfect square which is divisible by 3, 4, 5, 6 and 7?

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  5. Question 5

    Triangles. Asked once: CDS 1 2019

    30
    Let the bisector of the angle BACBAC of a triangle ABCABC meet BCBC in XX. Which one of the following is correct ?

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