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Men-and-women equivalence: convert to one kind of worker and find the time or efficiency

This type of question, asked 9 times: CDS 1 2017, CDS 2 2017, CDS 1 2018, CDS 2 2019, CDS 1 2020, CDS 1 2022, CDS 2 2022, CDS 1 2023, CDS 1 2026. All 9 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    30
    If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is

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  2. Question 2

    CDS 2 2017

    38
    4 goats or 6 sheep can graze a field in 50 days. 2 goats and 3 sheep will graze it in

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  3. Question 3

    CDS 1 2018

    25
    A work when done by 10 women is completed in 12 days. The same work can be completed in 8 days when done by 5 men. How many days will it take to complete when 6 women and 3 men are employed to perform the same job?

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  4. Question 4

    CDS 2 2019

    36
    A field can be reaped by 12 men or 18 women in 14 days. In how many days can 8 men and 16 women reap it ?

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  5. Question 5

    CDS 1 2020

    30
    If 6 men and 8 women can do a piece of work in 10 days; and 13 men and 24 women can do the same work in 4 days, then what is the ratio of daily work done by a man to that of a woman ?

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  6. Question 6

    CDS 1 2022

    27
    8 men or 12 women can do a piece of work in 24 days. In how many days can the work be done by 8 men and 12 women?

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  7. Question 7

    CDS 2 2022

    15
    12 women and 16 men can do a piece of work in 5 days. 13 women and 24 men can do it in 4 days. How long will 25 women and 50 men take to do it ?

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  8. Question 8

    CDS 1 2023

    34
    If 17 women and 24 men can do a piece of work in 5 days and 12 women and 23 men can do it in 6 days, then which one of the following is correct ?

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  9. Question 9

    CDS 1 2026

    9
    Eight men and 24 women can finish a piece of work in one day while 12 men and 18 women can also finish it in one day. What is the time taken by 24 men and 72 women to finish the work ?

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