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If one third of one fourth of a number is 15, then three-tenth of that number is

  • A.35
  • B.45
  • C.20
  • D.54

Answer: D

Three-tenth of the number is 54.

One third of one fourth is one twelfth, so

\[ \begin{aligned} \tfrac{1}{12}x &= 15 \Rightarrow x = 180 \\ \tfrac{3}{10} \times 180 &= 54 \end{aligned} \]

45 is three times 15, which skips finding the number. 35 and 20 do not follow from 180. A quick check: one fourth of 180 is 45 and one third of 45 is 15, as stated.

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