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SSC Scientific Assistant Time and Work — practice questions — page 2

Explore 41 free Time and Work questions in SSC Scientific Assistant 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 31–41 of 41.

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

Two are true, one is not

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Questions
  1. False statement
    Adding workers raises the worker-days
    Statements
    1. Worker-days measures the job
    2. Adding workers leaves worker-days unchanged
    3. Adding workers raises the worker-days
  2. False statement
    Halving the workforce halves the days
    Statements
    1. Halving the workforce halves the days
    2. Halving the workforce doubles the days
    3. Trebling the workforce cuts days to a third
  3. False statement
    Both cases are direct relations
    Statements
    1. A fixed job means an inverse relation
    2. Both cases are direct relations
    3. A fixed workforce means a direct relation
The false line makes the job change when it should not. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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Flip and pair: what is held fixed, and what follows

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Matching pairs
  1. A
    Job fixed
    B
    workers and days vary inversely
  2. A
    Workforce fixed
    B
    job size and days vary directly
  3. A
    Workers × days
    B
    the total work
  4. A
    More hands
    B
    fewer days
Two rows cover every version of the question. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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As the number of workers on a job increases, the time taken to finish it:

  1. Increases in the same ratio
  2. Stays the same
  3. First rises, then falls
  4. Decreases
Show answer and solution

Correct answer: D. Decreases

1. Two quantities are in inverse proportion when one rises as the other falls. 2. As the number of workers increases, the time taken to finish the job decreases. 3. Doubling the workers halves the time, so the product of workers and days stays constant. 4. That constant product is the total work to be done. 5. Option A describes direct proportion, which is the opposite relationship. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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More Quantitative Aptitude topics

MensurationMultiplicationNumber PropertiesSimple InterestSquares And RootsPercentagesNumber SystemRatio and Proportion