PYQ Vault

Day 22: SSC CGL Quant

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

  1. Question 1

    Ratio, Proportion and Variation. Asked 6 times: 14 Jul 2023 S1*, 18 Jul 2023 S4*, 21 Jul 2023 S3*, 25 Jul 2023 S3*, 10 Sep 2024 S1*, 23 Sep 2024 S2 (* = numbers or wording changed that year) See all 6 times it was asked

    54
    Find the fourth proportional to 4, 9 and 16.

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  2. Question 2

    Time, Speed and Distance. Asked 6 times: 17 Jul 2023 S1*, 24 Jul 2023 S2*, 26 Jul 2023 S4*, 27 Jul 2023 S3*, 13 Sep 2024 S2*, 18 Sep 2024 S2 (* = numbers or wording changed that year) See all 6 times it was asked

    62
    In a circular race of 4800m, A and B start from the same point and at the same time with speeds of 36 km/h and 54 km/h. When will they meet again for the first time on the track if they are running in the opposite direction?

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  3. Question 3

    Ratio, Proportion and Variation. Asked 6 times: 14 Jul 2023 S2*, 18 Jul 2023 S2*, 12 Sep 2024 S1*, 12 Sep 2024 S3*, 13 Sep 2024 S3*, 18 Sep 2024 S1 (* = numbers or wording changed that year) See all 6 times it was asked

    74
    Find the mean proportional of 36 and 100.

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  4. Question 4

    Time, Speed and Distance. This type asked 6 times: 21 Jul 2023 S4, 25 Jul 2023 S2, 10 Sep 2024 S1, 24 Sep 2025 S1, 26 Sep 2025 S2, 26 Sep 2025 S3. This one: 26 Sep 2025 S3 See all 6 of this type

    59
    A car covers three equal distances at speeds of 30 km/h, 45 km/h, and 90 km/h, respectively. What is the average speed of the car for the entire journey?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 6 times: 27 Jul 2023 S1, 11 Sep 2024 S2, 12 Sep 2025 S2, 21 Sep 2025 S1, 24 Sep 2025 S1, 26 Sep 2025 S3. This one: 26 Sep 2025 S3 See all 6 of this type

    65
    In Δ\DeltaABC, right-angled at C, if sin⁡A=513\sin A = \frac{5}{13}, then cos B = ?

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