PYQ Vault

Day 318: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 1 2019

    62
    A solid metallic cylinder of height 10 cm and radius 6 cm is melted to make two cones in the ratio of volume 1:21 : 2 and of same height as 10 cm. What is the percentage increase in the flat surface area ?

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  2. Question 2

    Number System. Asked once: CDS 2 2022

    28
    Consider the question and two statements given below : LCM of two numbers x and y is 481 where x>yx > y. Question : What is the value of (3x−2y)(3x - 2y) ? Statement-1 : y>1y > 1. Statement-2 : HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 1 2017

    3
    If α\alpha and β\beta are the roots of the quadratic equation 2x2+6x+k=02x^2 + 6x + k = 0, where k<0k < 0, then what is the maximum value of αβ+βα\dfrac{\alpha}{\beta} + \dfrac{\beta}{\alpha} ?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 2 2016

    13
    Which one of the following rational numbers has non-terminating and repeating decimal expansion ?

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  5. Question 5

    Triangles. Asked once: CDS 1 2022

    39
    Two sides of a triangle forming a right angle are 6x26x^2 and (2x2−1)(2x^2 - 1). If the area of the triangle is 84 square units, then what is the perimeter of the triangle?

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