PYQ Vault

Day 229: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 2 2025

    89
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : ABC is an isosceles triangle with AB=AC=10AB = AC = 10 units. If the area of the triangle is 48 square units, then what is the length of the base BC? Statement-I : The length of BC is an even integer. Statement-II : The height of the triangle is greater than the length of half of the base. Which one of the following is correct in respect of the above Question and the Statements?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 2 2026

    55
    A reservoir is in the form of a cuboid. Its length is 30 m. If 24 kL of water is removed from the reservoir, the water level goes down by 20 cm. What is the width of the reservoir ?

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  3. Question 3

    Number System. Asked once: CDS 2 2026

    26
    N is a 3-digit number. The middle digit of N is equal to the sum of the other two digits and the sum of the digits is 10. How many such numbers (N) can be possible ?

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  4. Question 4

    Percentage, Profit and Loss. Asked once: CDS 2 2025

    54
    In a village consisting of pp persons, x%x\% can read and write. Of the males, only y%y\% can read and write. Of the females, only z%z\% can read and write. If x,y>zx, y > z, then what is the number of males in the village?

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  5. Question 5

    Polynomials. Asked once: CDS 1 2026

    2
    What is the value of k for which (k2−5k+4)x2+(k2−3k−4)x+(k2−4k)=0(k^2 - 5k + 4)x^2 + (k^2 - 3k - 4)x + (k^2 - 4k) = 0 is an identity ?

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