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Assertion and reason: constants

Exercise and reference answers

Questions
  1. Reason
    Direct and inverse lead to different equations entirely.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    A proportion problem needs the type identified before solving.
  2. Reason
    That constancy is what defines the proportion.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    The constant k never changes within one problem.
  3. Reason
    Quantity and cost rise together.
    Verdict
    Both are true; the reason does not explain the assertion.
    Assertion
    More workers finish a job sooner.

Explanation

The last round pairs true halves that do not explain one another. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.
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