PYQ Vault

Day 306: CDS Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 2 2022

    37
    If p is the difference between a number and its reciprocal and q is the difference between the square of the same number and the square of its reciprocal, then what is p4+4p2p^4 + 4p^2 equal to ?

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  2. Question 2 (case study, 3 parts)

    Mensuration 2D. Asked once: CDS 1 2023

    Consider the following for the next three (03) items that follow : In the figure given below, a circle is inscribed in a square PQRS. A rectangle at the corner P that measures 4 cm ×\times 2 cm and a square at the corner R are drawn.
    94
    What is the area of the circle ?

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    95
    What is the area of the smaller square ?

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    96
    What is the area of the shaded region ?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 1 2020

    80
    How many cubic metre of earth is to be dug out to dig a well of radius 1.41.4 m and depth 5 m ?

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  4. Question 4

    Number System. Asked once: CDS 1 2024

    27
    Consider the following statements : 1. If (3m3+2m2+5m+n)/m(3m^3 + 2m^2 + 5m + n)/m is not an integer, where m and n are integers, then n is not divisible by m. 2. 5(8m)+23m5(8^m) + 2^{3m} is divisible by 48 for all whole numbers m. Which of the statements given above is/are correct ?

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  5. Question 5

    Quadratic Equations. Asked once: CDS 2 2018

    16
    If α\alpha and β\beta are the roots of the equation ax2+bx+c=0ax^2 + bx + c = 0, then the value of 1aα+b+1aβ+b\frac{1}{a\alpha + b} + \frac{1}{a\beta + b} is

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