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Question:

The value of

54 ÷ 16 of 3 × [12 ÷ 4 of {6 × 3 ÷ (11 − 2)}] ÷ (12 ÷ 8 × 2) is:

Explanation:

54 ÷ 16 of 3 × [12 ÷ 4 of {6 × 3 ÷ (11 − 2)}] ÷ (12 ÷ 8 × 2)

= 54 ÷ 16 of 3 × [12 ÷ 4  of  {6 × 3 ÷ 9}] ÷ $\left(\frac{12}{8}\times 2\right)$

= 54 ÷ 16 of 3 × [12 ÷ 4 of $\left\{6\times \frac{3}{9}\right\}$] ÷ 3

= 54 ÷ 16 of 3 × [12 ÷ 4  of 2] ÷ 3

= 54 ÷ 16 of 3 × [12 ÷ 8] ÷ 3

= 54 ÷ 16 of 3 × $\frac{12}{8}$ ÷ 3

= 54 ÷ 48 × $\frac{12}{8}$ ÷ 3

= $\frac{54}{48}$ × $\frac{12}{8\times 3}$

= $\frac{9}{16}$

Hence, the correct answer is Option D