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Assertion and reason: sharing the work

Exercise and reference answers

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.

Explanation

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