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Day 212: SSC CGL Quant

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

  1. Question 1

    Mensuration 2D. Asked once: 20 Jul 2023 S1 (same type asked 8 times) See all 8 of this type

    63
    In the given figure, the length of arc AB is equal to 3 times radius r of the circle. Find the area of sector OAB in terms of radius r.

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  2. Question 2

    Mensuration 2D. Asked once: 14 Sep 2025 S2 (same type asked 7 times) See all 7 of this type

    73
    A circular decorative wall clock with a radius of 20 cm has a design where a chord connects two points on the circumference. This chord, along with two radii, forms an equilateral triangle at the center of the clock face. The smaller segment created by this chord is painted in a contrasting color. What percentage of the clock's total area does this smaller painted segment represent? (Use π≈3.14\pi \approx 3.14, 3≈1.732\sqrt{3} \approx 1.732)

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  3. Question 3

    Averages. Asked once: 13 Sep 2025 S3 (same type asked 7 times) See all 7 of this type

    59
    A cricketer's average in 1010 innings is 5858. If his highest score is excluded, the average drops to 5454. What is his highest score?

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  4. Question 4

    Percentage, Profit and Loss. Asked once: 25 Sep 2024 S2 (same type asked 7 times) See all 7 of this type

    68
    During a new-year sale, a shopkeeper offers a discount scheme to his customers, ‘Buy 5 Sweaters, Get 2 Sweaters Free’. Find the effective percentage discount given by the shopkeeper.

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 22 Sep 2025 S1 (same type asked 7 times) See all 7 of this type

    67
    If sin⁡A=513\sin A = \frac{5}{13} and A lies in 2nd quadrant, then find the value of sin⁡A×sec⁡A\sin A \times \sec A.

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