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Day 16: SSC CGL Quant

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

  1. Question 1

    Mensuration 2D. Asked 7 times: 12 Sep 2025 S3*, 13 Sep 2025 S3*, 14 Sep 2025 S2*, 17 Sep 2025 S1*, 17 Sep 2025 S3*, 18 Sep 2025 S2*, 19 Sep 2025 S1* (* = numbers or wording changed that year) See all 7 times it was asked

    67
    A sector of a circle has a central angle of 60∘60^\circ and a radius of 9 cm. Another sector of the same circle has a central angle of π3\frac{\pi}{3} radians. What is the ratio of the area of the first sector to the area of the second sector?

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  2. Question 2

    Simple and Compound Interest. Asked 7 times: 9 Sep 2024 S1*, 11 Sep 2024 S3*, 13 Sep 2024 S1*, 18 Sep 2024 S3*, 19 Sep 2024 S3*, 25 Sep 2024 S2*, 25 Sep 2024 S3 (* = numbers or wording changed that year) See all 7 times it was asked

    61
    Pranav borrows a sum of ₹335180 at the rate of 13% per annum simple interest. At the end of the first year, he repays ₹23060 towards return of principal amount borrowed. If Pranav clears all pending dues at the end of the second year, including interest payment that accrued during the first year, how much does he pay (in ₹) at the end of the second year?

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  3. Question 3

    Simple and Compound Interest. Asked 7 times: 18 Jul 2023 S3*, 20 Jul 2023 S3*, 20 Jul 2023 S4*, 27 Jul 2023 S3*, 11 Sep 2024 S2*, 17 Sep 2024 S3*, 24 Sep 2024 S1 (* = numbers or wording changed that year) See all 7 times it was asked

    67
    In how much time (in years, rounded off to 2 decimal places) will ₹10,800 amount to ₹24,800 if invested at simple interest at the rate of 15.5%15.5\% per annum?

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  4. Question 4

    Circles. Asked 7 times: 18 Jul 2023 S1*, 24 Jul 2023 S3*, 25 Jul 2023 S1*, 25 Jul 2023 S3*, 26 Jul 2023 S1*, 10 Sep 2024 S1*, 12 Sep 2024 S1 (* = numbers or wording changed that year) See all 7 times it was asked

    74
    Two circles C1C_1 and C2C_2 touch each other externally. The radius of C1=16C_1 = 16 cm and the radius of C2=8C_2 = 8 cm. Find the length (in cm) of their common tangent.

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  5. Question 5

    Time and Work. Asked 7 times: 14 Jul 2023 S1*, 14 Jul 2023 S3*, 17 Jul 2023 S1*, 18 Jul 2023 S4*, 21 Jul 2023 S3*, 24 Jul 2023 S1*, 27 Jul 2023 S1 (* = numbers or wording changed that year) See all 7 times it was asked

    72
    If A, B and C can do a work in 6 days, 9 days and 11 days, respectively, then, working together, how many days will they take to do the work?

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