PYQ Vault

Day 69: SSC CGL Quant

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

  1. Question 1

    Averages. This type asked 3 times: 18 Sep 2024 S1, 19 Sep 2024 S2, 20 Sep 2025 S1. This one: 20 Sep 2025 S1 See all 3 of this type

    64
    The average of a group of 8 consecutive even numbers is 41. What is the sum of the smallest and largest numbers in the group?

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  2. Question 2

    Linear Equations. This type asked 3 times: 19 Jul 2023 S3, 15 Sep 2025 S2, 20 Sep 2025 S1. This one: 20 Sep 2025 S1 See all 3 of this type

    68
    Find the solution to the system: y=3x−4y = 3x - 4 and y=−x+2y = -x + 2.

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  3. Question 3

    Trigonometric Ratios and Identities. This type asked 3 times: 23 Sep 2024 S1, 18 Sep 2025 S2, 20 Sep 2025 S1. This one: 20 Sep 2025 S1 See all 3 of this type

    74
    If sin⁡x=0.6\sin x = 0.6 and x∈(0,π2)x \in \left(0, \frac{\pi}{2}\right), find sin⁡2x+cos⁡2x\sin 2x + \cos 2x.

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  4. Question 4

    Algebraic Identities and Simplification. This type asked 3 times: 18 Sep 2025 S2, 19 Sep 2025 S1, 19 Sep 2025 S3. This one: 19 Sep 2025 S3 See all 3 of this type

    56
    Given: x+1x=−2x + \frac{1}{x} = -2, then determine the value of x6+1x6−3(x4+1x4)+4(x2+1x2)x^6 + \frac{1}{x^6} - 3\left(x^4 + \frac{1}{x^4}\right) + 4\left(x^2 + \frac{1}{x^2}\right).

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  5. Question 5

    Mensuration 3D. This type asked 3 times: 13 Sep 2025 S3, 14 Sep 2025 S2, 19 Sep 2025 S3. This one: 19 Sep 2025 S3 See all 3 of this type

    60
    A solid cylinder has a radius of 5 cm and a height of 10 cm. A smaller cylindrical hole of radius 3 cm is drilled coaxially through its entire length. What is the approximate volume of the remaining solid?

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