PYQ Vault

Day 139: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 12 Sep 2024 S2 (same type asked 9 times) See all 9 of this type

    63
    If 7tan⁡θ=37\tan\theta = 3, then 7sin⁡θ+5cos⁡θ7sin⁡θ−2cos⁡θ\frac{7\sin\theta + 5\cos\theta}{7\sin\theta - 2\cos\theta} is:

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: 24 Sep 2025 S1 (same type asked 8 times) See all 8 of this type

    69
    A container has a 100-litre mixture of acid and water in the ratio 4:14:1. 20 litres is removed and replaced with water. Then 20 litres is removed again and replaced with pure acid. What is the final percentage of acid?

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  3. Question 3

    Circles. Asked once: 23 Sep 2025 S3 (same type asked 8 times) See all 8 of this type

    73
    A chord divides a circle into two arcs. The angle subtended by the major arc at the circumference is 110∘110^\circ . What is the central angle subtended by the major arc?

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  4. Question 4

    Number System. Asked once: 23 Sep 2025 S3 (same type asked 8 times) See all 8 of this type

    52
    Which of these numbers is neither Rational nor Integer?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: 22 Sep 2025 S3 (same type asked 8 times) See all 8 of this type

    57
    D and E start a business with equal investments. After 44 months, D adds Rs. 10,00010,000 more. At the end of 11 year, if the total profit is Rs. 33,00033,000, and E’s share is Rs. 15,00015,000, what was their initial investment?

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