Question : Simplify the following:
18 × [24 ÷ 70 × {25 × 49 ÷ (5 × 7)}]
Option 1: 218
Option 2: 216
Option 3: 215
Option 4: 220
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Correct Answer: 216
Solution :
Given: 18 × [24 ÷ 70 × {25 × 49 ÷ (5 × 7)}]
= 18 × [24 ÷ 70 × {25 × 49 ÷ 35}]
= 18 × [24 ÷ 70 × {25 × $\frac{7}{5}$}]
= 18 × [24 ÷ 70 × 35]
= 18 × [$\frac{12}{35}$ × 35]
= 18 × [12]
= 216
Hence, the correct answer is 216.
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