PYQ Vault

Day 206: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 26 Sep 2024 S1 (same type asked 11 times) See all 11 of this type

    60
    If (48∘+k)(48^\circ + k) is an acute angle and sin⁡(48∘+k)=cos⁡13∘\sin(48^\circ + k) = \cos 13^\circ, what is the value of k(in ∘^\circ)?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 23 Sep 2025 S3 (same type asked 11 times) See all 11 of this type

    67
    If sin⁡A=x\sin A = x, then what is the value of tan⁡A\tan A in terms of xx?

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  3. Question 3

    Triangles. Asked once: 17 Sep 2025 S3 (same type asked 11 times) See all 11 of this type

    70
    The ratios of the perimeters of two similar triangles are expressed as of 3:53 : 5. Together, their areas total 34 cm2\text{cm}^2. What is the area of the larger triangle?

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  4. Question 4

    Percentage, Profit and Loss. Asked once: 21 Sep 2025 S2 (same type asked 11 times) See all 11 of this type

    60
    The population of a village increases by 8%8\% annually. If the current population is 58,320, what was it two years ago (approx)?

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  5. Question 5

    Time and Work. Asked once: 20 Jul 2023 S3 (same type asked 11 times) See all 11 of this type

    53
    Supraja and Kausalya can complete a work in 30 days and 20 days, respectively. If Supraja starts the work and they work on alternate days, in how many days will 75% of the work be completed?

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