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Day 55: SSC CGL Quant

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

  1. Question 1

    Circles. Asked 3 times: 20 Jul 2023 S1*, 20 Jul 2023 S3*, 23 Sep 2025 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    75
    A point P is outside a circle. The length of the tangent from P is 10 cm, and the distance from P to the center is 125\sqrt{125} cm. What is the radius of the circle?

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  2. Question 2

    Percentage, Profit and Loss. Asked 3 times: 27 Jul 2023 S2*, 18 Sep 2024 S3*, 23 Sep 2025 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    64
    A computer is sold at Rs. 7650 after applying a 15% discount. What was its market price?

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  3. Question 3

    Ratio, Proportion and Variation. Asked 3 times: 13 Sep 2025 S3*, 14 Sep 2025 S3*, 23 Sep 2025 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    56
    M and N start a business with Rs. 2,00,000 and Rs. 3,00,000 respectively. After 4 months, M adds Rs. 1,00,000 more, and N withdraws Rs. 50,000. At the end of 1 year, they make a profit of Rs. 1,80,000. What is N's share of profit?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked 3 times: 17 Sep 2025 S3, 18 Sep 2025 S1, 21 Sep 2025 S2 See all 3 times it was asked

    67
    If cot⁡A=x+1x\cot A = x + \frac{1}{x}, then what is cosec2A\text{cosec}^2 A?

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  5. Question 5

    Coordinate Geometry. Asked 3 times: 12 Sep 2025 S1*, 18 Sep 2025 S2*, 21 Sep 2025 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    70
    If y=mx+1y = mx + 1 passes through (2,5)(2,5), find m.

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