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A technician reports a grain at 25 per cent moisture without stating the basis. The ambiguity matters because

  • A.Wet basis values are always larger
  • B.20 per cent wet basis is 25 per cent dry basis
  • C.The two bases agree above 20 per cent
  • D.Only the dry basis is used in trade

Answer: B

Correct answer: 20 per cent wet basis is 25 per cent dry basis

The two bases give materially different numbers for the same sample, so "25 per cent" is ambiguous without the basis. The conversion makes it concrete:

\[ M_{db} = \frac{M_{wb}}{1 - M_{wb}} = \frac{0.20}{0.80} = 0.25 \]

So a reading of 25 per cent could mean the grain is at 25 per cent wet basis, or at 20 per cent wet basis quoted on the dry basis - and those differ enough to decide whether the lot is safe to store. The first option has the inequality backwards, the third is false since the gap widens with moisture, and the fourth is wrong because trade uses the wet basis.

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