PYQ Vault

Day 215: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 26 Jul 2023 S4 (same type asked 7 times) See all 7 of this type

    57
    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 product of the two given numbers?

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  2. Question 2

    Time, Speed and Distance. Asked once: 24 Sep 2025 S1 (same type asked 6 times) See all 6 of this type

    53
    Jayesh covers one-fourth of his journey at 20 km/h, another one-fourth at 10 km/h, and the rest at 70 km/h. What is his average speed?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 21 Sep 2025 S1 (same type asked 6 times) See all 6 of this type

    71
    If sin⁡A=45\sin A = \frac{4}{5} and A is acute, find cot⁡(90∘−A)\cot(90^\circ - A).

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  4. Question 4

    Mensuration 3D. Asked once: 19 Sep 2025 S1 (same type asked 6 times) See all 6 of this type

    63
    A conical bucket is cut at one-third its height from the top. What is the ratio of the volumes of the two parts (top part to bottom part)?

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  5. Question 5

    Time, Speed and Distance. Asked once: 21 Sep 2025 S2 (same type asked 6 times) See all 6 of this type

    56
    A runner completes 7.2 km in 48 minutes. What is his speed in km/h?

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