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A scale 15 cm long has been constructed to read a maximum of 6 m. Its representative fraction is

  • A.1/15
  • B.1/400
  • C.1/90
  • D.1/40

Answer: D

Correct answer: 1/40

The representative fraction is the drawing length over the actual length in the same units: \[ \frac{15\ \mathrm{cm}}{600\ \mathrm{cm}} = \frac{1}{40}. \] Forgetting to convert the 6 m to centimetres gives 1/0.4, and inverting the ratio gives 40, both of which are dimensionally impossible for a reducing scale.

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