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IPMAT Rohtak Time and Work — practice questions — page 2

Explore 46 free Time and Work questions in IPMAT Rohtak Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Time and Work questions and exercises with answers

Showing questions 31–46 of 46.

Order the reasoning: why more hands finish soonerRead the answer and worked solution →Assertion and reason: sharing the workRead the answer and worked solution →Complete the two-way ruleRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every quantity that stays fixed in a time and work problemRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Flip and pair: what is held fixed, and what followsRead the answer and worked solution →As the number of workers on a job increases, the time taken to finish it:Read the answer and worked solution →If 6 men finish a job in 10 days, how many days will 4 men take at the same rate?Read the answer and worked solution →If 12 workers can complete a task in 8 days, 16 workers will complete it in:Read the answer and worked solution →A can do a piece of work in 10 days and B in 15 days. Working together they finish it in:Read the answer and worked solution →A and B together finish a job in 12 days. A alone takes 20 days. B alone would take:Read the answer and worked solution →A is twice as fast as B. Working together they finish a job in 8 days. A alone would take:Read the answer and worked solution →A pipe fills a tank in 6 hours while an outlet empties it in 8 hours. With both open the tank fills in:Read the answer and worked solution →A can finish a job in 20 days. After working 5 days he leaves. The fraction of work left is:Read the answer and worked solution →For a fixed amount of work, the product of the number of workers and the days taken is:Read the answer and worked solution →

Worked practice questions

Order the reasoning: why more hands finish sooner

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Steps
  1. The job is a fixed amount of work
  2. Each worker contributes at the same rate
  3. More workers contribute more per day
  4. So the fixed work is used up in fewer days
  5. Workers and days therefore vary inversely
The argument behind every time and work question. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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Assertion and reason: sharing the work

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Questions
  1. Reason
    It measures the job itself, which does not change.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Worker-days stays the same however the workforce is arranged.
  2. Reason
    Workers and days multiply to a constant for a fixed job.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Halving the workforce doubles the days needed.
  3. Reason
    Work and days vary directly when the workforce is held fixed.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Doubling the job doubles the days, with the workforce unchanged.
The reason must genuinely explain the assertion. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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Complete the two-way rule

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Missing parts
  1. Answer
    inversely
    Choices
    1. inversely
    2. directly
    3. randomly
  2. Answer
    directly
    Choices
    1. directly
    2. inversely
    3. randomly
Complete the statement
With the job fixed, workers and days vary {0}. With the workforce fixed, the size of the job and the days vary {1}.
Hold the workforce fixed and the relationship flips to direct. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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