Question : The value of –7 ÷ [5 + 1 ÷ 2 – {4 + (4 of 2 ÷ 4) + (4 ÷ 4 of 2)}] is:
Option 1: $-\frac{7}{2}$
Option 2: $–7$
Option 3: $\frac{7}{2}$
Option 4: $7$
Correct Answer: $7$
Solution :
Given: $\frac{-7} { \left[5 + \frac{1}{2} - \left\{4 + \left(\frac{4}{\frac{2}{4}}\right) + \left(\frac{4}{\frac{4}{2}}\right) \right\}\right]}$
= $\frac{-7} { \left[5 + \frac{1}{2} - \left\{4 + \left(\frac{8}{4}\right) + \left(\frac{4}{8}\right) \right\}\right]}$
= $\frac{-7} { \left[5 + \frac{1}{2} - \left\{4 + 2 + \frac{1}{2} \right\}\right]}$
= $\frac{-7} { \left[5 + \frac{1}{2} - 6.5\right]}$
= $\frac{-7} { (5.5 - 6.5)}
$
= $\frac{-7}{-1}$
= $7$
Hence, the correct answer is $7$.
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