PYQ Vault

Day 198: CDS Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Mensuration 2D. Asked once: CDS 2 2018 (same type asked 4 times) See all 4 of this type

    72
    A circle is inscribed in an equilateral triangle of side of length ll. The area of any square inscribed in the circle is

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  2. Question 2

    Simple and Compound Interest. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type

    40
    If C is the compound interest on Rs. 10,000 for one year at 4% per annum when compounded quarterly, then which one of the following is correct ?

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  3. Question 3

    Surds, Indices and Simplification. Asked once: CDS 1 2018 (same type asked 4 times) See all 4 of this type

    18
    What is the value of 5−35+3−5+35−3\frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}} - \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}?

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  4. Question 4 (case study, 3 parts)

    Triangles. Asked once: CDS 2 2021 (same type asked 4 times) See all 4 of this type

    Consider the following for the next three (03) items that follow : ABCABC is a triangle with AB=1.6AB = 1.6 cm, BC=6.3BC = 6.3 cm and CA=6.5CA = 6.5 cm. Let PP and QQ be the mid-points of ABAB and BCBC respectively.
    86
    What is AB2+4BQ2AB^2 + 4BQ^2 equal to ?

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    87
    What is AQ2+CP2AQ^2 + CP^2 equal to ?

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    88
    What is 4(CP2−AQ2)4(CP^2 - AQ^2) equal to ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    58
    If 6+8tan⁡θ=sec⁡θ6 + 8\tan\theta = \sec\theta and 8−6tan⁡θ=ksec⁡θ8 - 6\tan\theta = k\sec\theta, then what is the value of k2k^2?

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