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Assertion and reason

Exercise and reference answers

Questions
  1. Reason
    Speed and time are in inverse proportion, so their product is constant.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Doubling the speed halves the time for a fixed distance.
  2. Reason
    Quantity and cost are in direct proportion, so their ratio is constant.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Doubling the quantity of sugar doubles the cost.
  3. Reason
    Workers and time are inversely proportional.
    Verdict
    The assertion is false and the reason is true.
    Assertion
    More workers means more time to finish a job.

Explanation

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