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If "÷" denotes "multiplied by", "+" denotes "subtracted from", "-" denotes "added to" and "x" denotes "divided by", then which of the following equation is true?

  • A.16 + 19 x 21 - 5 = 201
  • B.5 x 6 + 4 ÷ 3 = 37/6
  • C.6 x 3 + 12 ÷ 3 = 21
  • D.18 x 6 ÷ 8 - 12 = 36

Answer: D

Correct answer: 18 x 6 ÷ 8 - 12 = 36

Replace every symbol by the operation it denotes: \( \div \to \times \), \( + \to \) subtracted from, \( - \to \) added to, \( \times \to \div \).

The correct option becomes \( 18 \div 6 \times 8 + 12 \), and by BODMAS \[ 18 \div 6 \times 8 + 12 = 24 + 12 = \mathbf{36} \]

The others fail: \( 5 \times 6 + 4 \div 3 \) becomes \( 12 - \tfrac{5}{6} = \tfrac{67}{6} \), not \( \tfrac{37}{6} \); and \( 6 \times 3 + 12 \div 3 \) becomes \( 36 - 2 = 34 \), not 21.

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