PYQ Vault

Day 330: SSC CGL Quant

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

  1. Question 1

    Triangles. Asked once: 23 Sep 2025 S1

    75
    A triangle ABC has a circle inscribed within it with sides a, b, c. The area of the triangle is A. What is the radius of the inscribed circle?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 19 Sep 2025 S2

    73
    If sin⁡x=cos⁡x\sin x = \cos x, find sin⁡4x+cos⁡4x\sin^4 x + \cos^4 x.

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 12 Sep 2025 S2

    71
    If x=7x = \sqrt{7}, determine the value of x+1xx + \frac{1}{x}.

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  4. Question 4

    Averages. Asked once: 23 Sep 2025 S1

    62
    The average of a certain number of quantities is 45. If 5 is added to each quantity, what will be the new average?

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  5. Question 5

    Circles. Asked once: 26 Sep 2024 S1

    53
    ΔABC\Delta ABC is a right-angled triangle with ∠ABC=90∘\angle ABC = 90^\circ. If m(AB‾)=28m(\overline{AB}) = 28 cm, and m(BC‾)=96m(\overline{BC}) = 96 cm, find the area (in cm2\text{cm}^2) of the circumcircle of ΔABC\Delta ABC. (Use π=3.14\pi = 3.14.)

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