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Assertion: the apex of a complete cone must be located to develop its frustum. Reason: the two arcs bounding the pattern are concentric about that apex.

  • 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: C

Correct answer: both the assertion and the reason are true and the reason explains the assertion

Both are true and the reason gives the mechanism. The frustum’s pattern is the region between two arcs, and both are struck from the apex of the complete cone - so that point must be located, by extending the sloping sides in the elevation until they meet, before the pattern can be drawn at all.

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