PYQ Vault

Day 129: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. This type asked 2 times: 18 Jul 2023 S3, 20 Jul 2023 S1. This one: 20 Jul 2023 S1 See all 2 of this type

    58
    The square of the sum of two given natural numbers is 784, while the product of the two given numbers is 192. Find the positive difference between the squares of these two given numbers.

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  2. Question 2

    Time and Work. This type asked 2 times: 14 Jul 2023 S3, 17 Jul 2023 S2. This one: 17 Jul 2023 S2 See all 2 of this type

    70
    Working 5 hours a day, A can complete a task in 8 days and working 6 hours a day, B can finish the same task in 10 days. working 8 hours a day, they can jointly complete the task in ______.

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  3. Question 3

    Time, Speed and Distance. Asked once: 25 Sep 2024 S2 (same type asked 27 times) See all 27 of this type

    57
    A policeman noticed a thief at some distance. The policeman started running to catch the thief and the thief also started running at the same time. The speed of both policeman and the thief was 12 km per hour and 10 km per hour, respectively. It took 30 minutes for the policeman to catch the thief. Find the initial distance (in metres) between them.

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  4. Question 4

    Circles. Asked once: 20 Jul 2023 S4 (same type asked 22 times) See all 22 of this type

    59
    A 15 cm long perpendicular is drawn from the centre of a circle to a 40 cm long chord. Find the diameter of the circle.

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 21 Sep 2025 S3 (same type asked 22 times) See all 22 of this type

    68
    If sin⁡A=110\sin A = \frac{1}{\sqrt{10}}, then find the value of tan⁡A+sec⁡A\tan A + \sec A.

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