PYQ Vault

Day 135: SSC CGL Quant

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

  1. Question 1

    Time and Work. Asked once: 21 Jul 2023 S2 (same type asked 11 times) See all 11 of this type

    58
    An inlet pipe can fill an empty tank in 4124\frac{1}{2} hours while an outlet pipe drains a completely filled tank in 7157\frac{1}{5} hours. The tank is initially empty, and the two pipes are alternately opened for an hour each, till the tank is completely filled, starting with the inlet pipe. In how many hours will the tank be completely filled?

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  2. Question 2

    Time and Work. Asked once: 15 Sep 2025 S3 (same type asked 10 times) See all 10 of this type

    64
    A and B can complete a task in 12 days and 18 days, respectively. They begin the work together, but B leaves after 4 days. How many more days will A take to finish the remaining work?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: 23 Sep 2025 S2 (same type asked 10 times) See all 10 of this type

    69
    A solution of 100 litres has a 60% salt concentration. How many litres of water must be added to reduce the concentration to 40%, and then how much pure salt must be added to bring the concentration back to 50%?

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  4. Question 4

    Circles. Asked once: 19 Sep 2025 S2 (same type asked 10 times) See all 10 of this type

    70
    Two circles, with radii of r1r_1 and r2r_2 respectively, have their centers separated by a distance of dd. If the length of a direct common tangent is equal to the distance between the centers, which of the following is true?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: 16 Sep 2025 S2 (same type asked 10 times) See all 10 of this type

    54
    A, B, and C invested ₹24,000, ₹36,000, and ₹40,000 respectively. A's investment was for 12 months, B's for 8 months, and C's for 6 months. The total profit is ₹50,000. What is B’s share of the profit?

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