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Assertion: a shrunk representative fraction is obtained by dividing the nominal fraction by the shrinkage factor. Reason: the sheet has contracted since the drawing was made.

  • A.the assertion is true but the reason given for it is false
  • B.the assertion is false although the reason offered is a true statement in itself
  • C.both the assertion and the reason are true and the reason explains the assertion
  • D.both the assertion and the reason are true but the reason does not explain the assertion

Answer: B

Correct answer: the assertion is false although the reason offered is a true statement in itself

The reason is true - the sheet has contracted - but the arithmetic in the assertion is inverted. The shrunk fraction is obtained by multiplying by the shrinkage factor, which is less than one, so the fraction becomes smaller: 1/1000 at a factor of 0.975 gives about 1/1026. Dividing would make it larger, which is the wrong direction.

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