PYQ Vault

Day 316: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 17 Jul 2023 S2 (same type asked 22 times) See all 22 of this type

    74
    If Sin θ=45\text{Sin}\,\theta = \frac{4}{5}, find the value of tan⁡θ−Cot θ\tan\theta - \text{Cot}\,\theta.

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 19 Sep 2025 S2

    75
    If p=0.8p = 0.8 and q=0.02q = 0.02, find the value of (4p)3+(4q)3p3+q3\frac{(4p)^3 + (4q)^3}{p^3 + q^3}.

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  3. Question 3

    Averages. Asked once: 26 Sep 2025 S1

    59
    The average age of 10 students in a class increases by 1 year when a 30-year-old teacher joins them. What was the original average age of the students?

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  4. Question 4

    Circles. Asked once: 26 Sep 2025 S1

    72
    If the angle subtended by arc AB at the center is 140∘140^\circ, what is the reflex angle made by this arc at the center?

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  5. Question 5

    Coordinate Geometry. Asked once: 22 Sep 2025 S3

    60
    A triangle has vertices at A(2,3)A(2,3), B(7,1)B(7,1), and C(4,6)C(4,6). What is its area?

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