PYQ Vault

Day 61: CDS Maths

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

  1. Question 1

    Time, Speed and Distance. Asked 2 times: CDS 1 2017*, CDS 2 2017 (* = numbers or wording changed that year) See all 2 times it was asked

    13
    In a 100 m race, A runs at 6 km/hr. If A gives B a start of 8 m and still beats him by 9 seconds, what is the speed of B ?

    Tap an option to check your answer.

  2. Question 2

    Algebraic Identities and Simplification. This type asked 2 times: CDS 1 2021, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    34
    What should be added to x2−1x2+1\frac{x^2 - 1}{x^2 + 1} to get 2x3+3x2−1(x+2)(x2+1)\frac{2x^3 + 3x^2 - 1}{(x + 2)(x^2 + 1)} ?

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  3. Question 3

    Circles. This type asked 2 times: CDS 1 2019, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    65
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABC is a triangle inscribed in a semi-circle such that AC coincides with the diameter of the semi-circle. Let P be any point on the arc of the semi-circle. What is AP2+CP2+AC2AP^2 + CP^2 + AC^2 equal to ? Statement I : The radius of the circle is 5 cm. Statement II : AB = 6 cm and BC = 8 cm. Which one of the following is correct in respect of the above Question and Statements ?

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  4. Question 4

    Mensuration 2D. This type asked 2 times: CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    54
    ABC is a triangle in which (AB + BC) exceeds CA by 10 cm, (BC + CA) exceeds AB by 8 cm and (CA + AB) exceeds BC by 72 cm. What is the area of the triangle ?

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  5. Question 5

    Mensuration 2D. This type asked 2 times: CDS 2 2022, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    58
    On a circular metal plate of uniform thickness, 16 holes, each of diameter 2 cm, are made. If the plate thereby has lost one-ninth of its original weight, then what is the diameter of the plate ?

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