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The value of \(52 \times 3 \div 4 + \sqrt{441} \div 7 \times 3 + 5 - 32 \div 8 \times 12\) is :

  • A.0
  • B.5
  • C.15
  • D.21

Answer: B

The value is 5.

Work out the root, then division and multiplication from left to right, then addition and subtraction (BODMAS):

\[ \begin{aligned} 52 \times 3 \div 4 &= 156 \div 4 = 39 \\ \sqrt{441} \div 7 \times 3 &= 21 \div 7 \times 3 = 9 \\ 32 \div 8 \times 12 &= 4 \times 12 = 48 \\ 39 + 9 + 5 - 48 &= 5 \end{aligned} \]

A common slip is to compute 8 × 12 first in the last term, giving 32 ÷ 96; division and multiplication must be done in order from left to right.

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