PYQ Vault

Day 144: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 11 Sep 2024 S3 (same type asked 7 times) See all 7 of this type

    61
    If x+19x=3x + \frac{1}{9x} = 3, then the value of 9x2+19x29x^2 + \frac{1}{9x^2} is:

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  2. Question 2

    Time, Speed and Distance. Asked once: 12 Sep 2024 S3 (same type asked 7 times) See all 7 of this type

    63
    A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along with the current in 10 minutes. How long will it take to go 6 km in stationary water?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 26 Jul 2023 S3 (same type asked 7 times) See all 7 of this type

    61
    tan⁡4384∘+cot⁡6814∘=?\tan 4384^\circ + \cot 6814^\circ = ?

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: 27 Jul 2023 S1 (same type asked 7 times) See all 7 of this type

    51
    The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the sum of the cubes of the two given numbers?

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  5. Question 5

    Time, Speed and Distance. Asked once: 26 Sep 2025 S2 (same type asked 6 times) See all 6 of this type

    61
    A train covers 3 equal distances at speeds in the ratio 4:5:64 : 5 : 6. What is the ratio of the average speed over the entire journey to the lowest speed?

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