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Assertion: a mineral with a high Mohs number is proportionately harder than one with a low number. Reason: the Mohs scale runs from 1 to 10.

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

Answer: C

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

The reason is true and irrelevant: the scale does run from 1 to 10, but it is an ordinal scale, recording only which mineral scratches which. The intervals are not equal and are wildly unequal at the top - diamond at 10 is several times harder than corundum at 9, while the step from 4 to 5 is small. A Mohs number cannot be used in a proportion.

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