PYQ Vault

Day 243: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 14 Jul 2023 S2 (same type asked 3 times) See all 3 of this type

    72
    What is the value of sec⁡254∘−cot⁡236∘+32sin⁡237∘×sec⁡253∘+23tan⁡60∘\sec^2 54^\circ - \cot^2 36^\circ + \frac{3}{2}\sin^2 37^\circ \times \sec^2 53^\circ + \frac{2}{\sqrt{3}}\tan 60^\circ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 17 Jul 2023 S1 (same type asked 3 times) See all 3 of this type

    65
    Select the INCORRECT formula from the following options.

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 17 Jul 2023 S2 (same type asked 3 times) See all 3 of this type

    72
    If (x−1x)=6\left(x - \frac{1}{x}\right) = \sqrt{6}, and x>1x > 1, what is the value of (x8−1x8)\left(x^8 - \frac{1}{x^8}\right)?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 14 Jul 2023 S2 (same type asked 3 times) See all 3 of this type

    54
    Evaluate the following. sin⁡25∘sin⁡65∘−cos⁡25∘cos⁡65∘\sin 25^\circ \sin 65^\circ - \cos 25^\circ \cos 65^\circ.

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  5. Question 5

    Time and Work. Asked once: 21 Jul 2023 S3 (same type asked 2 times) See all 2 of this type

    63
    A can do 20% of a work in 4 days, and B can do 3313%33\frac{1}{3}\% of the same work in 10 days. They worked together for 9 days and then C completed the remaining work in 6 days. B and C together will complete 75% of the same work in:

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