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Day 252: CDS Maths

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

  1. Question 1

    Statistics. Asked once: CDS 2 2019

    70
    The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched ?

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  2. Question 2

    Surds, Indices and Simplification. Asked once: CDS 2 2022

    38
    If x=2+21/2x = 2 + 2^{1/2}, then what is the value of x4+16x−4x^4 + 16x^{-4} ?

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  3. Question 3

    Time and Work. Asked once: CDS 2 2017

    39
    A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and watcr was leaking through it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water ?

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  4. Question 4

    Time, Speed and Distance. Asked once: CDS 2 2024

    42
    Two towers AA and BB of height 23 m and 11 m respectively, stand 9 m apart. A straight rod is joined to the two tops of the towers. A monkey sitting on the top of AA, climbs the rod to reach the top of BB. If the monkey takes 5 minutes to reach the other end, what is the average speed of the monkey ?

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  5. Question 5

    Triangles. Asked once: CDS 1 2026

    36
    ABC is a triangle right-angled at C. A semicircle is drawn on AB as diameter. Let P be any point on AC produced such that AP=AB=10AP = AB = 10 cm. Further, B and P are joined. If BC=8BC = 8 cm, then what is BP equal to ?

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