PYQ Vault

Day 259: CDS Maths

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

  1. Question 1

    Linear Equations. Asked once: CDS 1 2021

    13
    If xa+yb=a+b\frac{x}{a} + \frac{y}{b} = a + b and xa2+yb2=2\frac{x}{a^2} + \frac{y}{b^2} = 2, then what is xa2−yb2\frac{x}{a^2} - \frac{y}{b^2} equal to?

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  2. Question 2

    Lines, Angles and Polygons. Asked once: CDS 1 2018

    79
    The locus of a point equidistant from two intersecting lines is

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  3. Question 3

    Logarithms. Asked once: CDS 1 2020

    21
    If log⁡x=1.2500\log x = 1.2500 and y=xlog⁡xy = x^{\log x}, then what is log⁡y\log y equal to ?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2024

    44
    A trolley with two wheels one metre apart is moved clockwise on the circular track around a ground with radius 50 m (described by right wheel). If the size of each wheel is of 1 foot radius and the right wheel turns 1000 times, how many times will the other wheel turn ?

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  5. Question 5

    Mensuration 3D. Asked once: CDS 2 2024

    43
    A spherical wooden ball of radius rr is to be divided into eight identical parts by cutting by planes passing through the same diameter. What is the surface area of each final piece ?

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