PYQ Vault

Two together take T, one alone takes a: time for the other alone

The same question, asked 10 times: 19 Jul 2023 S2*, 20 Jul 2023 S3*, 21 Jul 2023 S1*, 24 Jul 2023 S2*, 25 Jul 2023 S1*, 25 Jul 2023 S3*, 26 Jul 2023 S2*, 26 Jul 2023 S4*, 26 Sep 2024 S2*, 22 Sep 2025 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    19 Jul 2023 S2

    75
    Anil and Bipin together can complete a work in 15 days, while Bipin alone can finish it 20 days. In how many days can Anil alone finish the work?

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  2. Question 2

    20 Jul 2023 S3

    56
    A and B working together can finish a piece of work in 8 days while B alone can do it in 24 days. In how many days can A alone finish the work?

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  3. Question 3

    21 Jul 2023 S1

    61
    If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, then in how many days can B alone complete the same work?

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  4. Question 4

    24 Jul 2023 S2

    71
    P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, then the number of days required for Q to finish the work is:

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  5. Question 5

    25 Jul 2023 S1

    70
    Raju and Rajat working together take 5 days to complete a piece of work. If Raju alone can do this work in 7 days, how long would Rajat take to complete the same work?

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  6. Question 6

    25 Jul 2023 S3

    73
    A can complete a piece of work in 14 days, while A and B together can complete it in 3123\frac{1}{2} days. How long will B alone take to complete it?

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  7. Question 7

    26 Jul 2023 S2

    65
    A can complete a piece of work alone in 120 days, while A and B, working together, can complete this piece of work in 72 days. In how many days can B, working alone, complete this piece of work?

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  8. Question 8

    26 Jul 2023 S4

    72
    Ramesh alone can complete a work in 24 days. Ramesh and Somesh can complete it in 8 days. How long will Somesh alone take to complete the work?

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  9. Question 9

    26 Sep 2024 S2

    59
    Varun and Raju, working together, can complete a job in 40 hours whereas Varun alone can complete the same job in 50 hours. The number of hours required by Raju to complete the job alone is:

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  10. Question 10

    22 Sep 2025 S1

    63
    Dhaval and Dhiraj together can do a piece of work in 12 days. Dhaval alone can do it in 20 days. In how many days can Dhiraj alone do it?

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