PYQ Vault

Men x days x hours per unit of work is constant: find the missing quantity

This type of question, asked 6 times: CDS 1 2017, CDS 1 2018, CDS 2 2018, CDS 2 2020, CDS 1 2021, CDS 1 2026. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    24
    If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would do as much work as 2 men ?

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  2. Question 2

    CDS 1 2018

    32
    If 5 tractors can plough 5 hectares of land in 5 days, then what is the number of tractors required to plough 100 hectares in 50 days?

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  3. Question 3

    CDS 2 2018

    45
    Twelve (12) persons can paint 10 identical rooms in 16 days. In how many days can 8 persons paint 20 such rooms ?

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  4. Question 4

    CDS 2 2018

    40
    Twelve (12) men work 8 hours per day and require 10 days to build a wall. If 8 men are available, how many hours per day must they work to finish the work in 8 days ?

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  5. Question 5

    CDS 2 2020

    18
    If xx men working xx hours per day can do xx units of work in xx days, then yy men working yy hours per day in yy days would be able to do kk units of work. What is the value of kk ?

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  6. Question 6

    CDS 1 2021

    39
    If 20 persons can clean 20 floors in 20 days, then in how many days can 16 persons clean 16 floors?

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  7. Question 7

    CDS 1 2026

    15
    12 men working 8 hours a day can completely build a wall of length 100 m, breadth 20 cm and height 5 m in 10 days. How many days will 16 men working 10 hours a day require to build a wall of length 200 m, breadth 60 cm and height 5 m ?

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