Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:
Option 1: $7$
Option 2: $\frac{7}{2}$
Option 3: $-7$
Option 4: $-\frac{7}{2}$
Correct Answer: $-7$
Solution :
7 ÷ [5 + 1 ÷ 2 – {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}]
= 7 ÷ [5 + 1 ÷ 2 – {4 + (8 ÷ 4) + (5 ÷ 10)}]
= 7 ÷ [5 + 1 ÷ 2 – {4 + 2 + 0.5}]
= 7 ÷ [5 + 1 ÷ 2 – 6.5]
= 7 ÷ [5 + 0.5 – 6.5]
= 7 ÷ [–1]
= –7
Hence, the correct answer –7.
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