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Day 337: SSC CGL Quant

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: 19 Sep 2024 S1

    61
    The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio of 4:3:2:14 : 3 : 2 : 1 .When the pieces were sold, the merchant got ₹63,000 less than that of one piece. Find the original price of the diamond.

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  2. Question 2

    Simple and Compound Interest. Asked once: 15 Sep 2025 S2

    58
    Aman needed ₹30,000 for a start-up and split the sum between two private lenders under simple-interest terms: Lender A charges 9%9\% p.a. (simple interest) Lender B charges 6%6\% p.a. (simple interest) Aman kept both loans exactly 4 years and then made a single lump-sum payment that settled only the accumulated interest, which came to ₹9,600. After preparing his books of account, Aman discovered that he interchanged the principal amounts taken from the two lenders, his four-year interest outgo would have been ₹1,200 less than what he actually paid. How much of the original ₹30,000 did Aman borrow at 9%9\% p.a. from Lender A?

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  3. Question 3

    Surds, Indices and Simplification. Asked once: 16 Sep 2025 S1

    53
    A tank holds 5345\frac{3}{4} liters of water. If 2.375 liters are drained twice, how much water remains?

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  4. Question 4

    Time and Work. Asked once: 23 Sep 2024 S3

    61
    Two pipes A and B can fill a tank in 20 and 30 hours, respectively. Both pipes are opened to fill the tank, but when the tank is one-third full, a leak develops through which one-fourth of the water supplied by both pipes goes out. Find the total time (in hours) taken to fill the tank.

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  5. Question 5

    Time, Speed and Distance. Asked once: 13 Sep 2024 S3

    62
    A boatman rows to a place 30 km distant and back in 14 hours. He finds that he can row 10 km with the stream at the same time as 4 km against the stream. Find the speed (in km/h) of the stream.

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