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Assertion and reason: workers and time

Exercise and reference answers

Questions
  1. Reason
    Workers and time are inversely proportional for a fixed job.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Trebling the workforce cuts the time to a third.
  2. Reason
    That product measures the total work, which does not change.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    The product of workers and days stays constant.
  3. Reason
    More workers share the same fixed job.
    Verdict
    The assertion is false and the reason is true.
    Assertion
    Adding workers increases the days needed.

Explanation

The reason must genuinely explain the assertion. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.
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