Question : Simplify the following expression.
120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}]
Option 1: $\frac{120}{61}$
Option 2: $\frac{61}{120}$
Option 3: $3$
Option 4: $-3$
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Correct Answer: $3$
Solution :
120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 + 3}]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {8 + 3}]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of 11]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 44]
= 120 ÷ 15 of 4 + [11 × $\frac{1}{11}$]
= 120 ÷ 15 of 4 + 1
= 120 ÷ 60 + 1
= 2 + 1
= 3
Hence, the correct answer is $3$.
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