PYQ Vault

Day 21: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. This type asked 7 times: 18 Jul 2023 S1, 19 Jul 2023 S4, 24 Jul 2023 S3, 25 Jul 2023 S3, 26 Jul 2023 S4, 27 Jul 2023 S1, 27 Jul 2023 S3. This one: 27 Jul 2023 S3 See all 7 of this type

    54
    The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked 6 times: 12 Sep 2025 S2*, 14 Sep 2025 S3*, 23 Sep 2025 S2*, 24 Sep 2025 S1*, 24 Sep 2025 S3*, 26 Sep 2025 S1 (* = numbers or wording changed that year) See all 6 times it was asked

    66
    Convert 1.5 radians to degrees.

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  3. Question 3

    Mensuration 2D. Asked 6 times: 17 Jul 2023 S3*, 17 Jul 2023 S4*, 19 Jul 2023 S3*, 14 Sep 2025 S3*, 23 Sep 2025 S3*, 24 Sep 2025 S2 (* = numbers or wording changed that year) See all 6 times it was asked

    69
    A sector of a circle having a radius of 10 cm and has a central angle of 3π4\frac{3\pi}{4} radians. What is the area of the sector?

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  4. Question 4

    Percentage, Profit and Loss. Asked 6 times: 12 Sep 2025 S3, 13 Sep 2025 S3*, 14 Sep 2025 S3, 15 Sep 2025 S2*, 16 Sep 2025 S2*, 20 Sep 2025 S1 (* = numbers or wording changed that year) See all 6 times it was asked

    52
    A furniture establishment initially disposes of a particular dining table for ₹Z, thereby realising a 25%25\% profit margin. Subsequently, as a promotional strategy for a festive period, the marked price of this identical table is elevated to ₹1.6Z. Following this adjustment, a special concession of 20%20\% is applied to the newly established marked price. The inquiry then seeks to ascertain the resulting percentage profit generated by the store during this specific celebratory sales period. What is the percentage profit earned by the store during the festive sale?

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  5. Question 5

    Time, Speed and Distance. Asked 6 times: 21 Jul 2023 S3*, 27 Jul 2023 S1*, 9 Sep 2024 S1*, 9 Sep 2024 S2*, 10 Sep 2024 S1*, 26 Sep 2024 S1 (* = numbers or wording changed that year) See all 6 times it was asked

    65
    Two athletes are participating in a race on a circular track of 220 m. Ravi runs at the speed of 22 m/s, while Kapil runs at the speed of 11 m/s. They start from the same point, at the same time and in the same direction. After how many seconds will they meet for the first time?

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