PYQ Vault

Day 183: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 19 Jul 2023 S4 (same type asked 3 times) See all 3 of this type

    58
    The value of cos⁡232∘−sin⁡258∘\cos^2 32^\circ - \sin^2 58^\circ is:

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  2. Question 2

    Time, Speed and Distance. Asked once: 14 Jul 2023 S3 (same type asked 3 times) See all 3 of this type

    60
    Two friends P and Q simultaneously start running from same point around a circular track. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, then how many values can b take?

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  3. Question 3

    Mensuration 3D. Asked once: 19 Sep 2025 S2 (same type asked 2 times) See all 2 of this type

    63
    A cone has height h and radius r. The cone is melted and recast into a smaller cone whose height is h2\frac{h}{2} and radius isr3\frac{r}{3} What fraction of the original volume is unused?

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  4. Question 4

    Time and Work. Asked once: 26 Sep 2025 S3 (same type asked 2 times) See all 2 of this type

    75
    A can complete a task in 30 days, and B can complete the same task in 40 days. They work together for 10 days, and then C joins them and completes the remaining work in 5 days. How long will C alone take to complete the task?

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  5. Question 5

    Averages. Asked once: 24 Sep 2025 S1 (same type asked 2 times) See all 2 of this type

    64
    A cricketer has played 8 innings with an average score of 40. In the next inning, he scores 80. What will be the new average?

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