Question : Directions: Which two signs must be interchanged to correct the following equation? 35 + 7 × 12 – 6 ÷ 2 = 6
Option 1: – and ×
Option 2: – and ÷
Option 3: + and ×
Option 4: × and ÷
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Correct Answer: – and ×
Solution : Given: 35 + 7 × 12 – 6 ÷ 2 = 6
Let's check the options – First options: – and × 35 + 7 – 12 × 6 ÷ 2 = 6 On solving the L.H.S. of the given equation – = 35 + 7 – 12 × 6 ÷ 2 = 35 + 7 – 12 × 3 = 35 + 7 – 36 = 6 Second option: – and ÷ 35 + 7 × 12 ÷ 6 – 2 = 6 On solving the L.H.S. of the given equation – = 35 + 7 × 12 ÷ 6 – 2 = 35 + 7 × 2 – 2 = 35 + 14 – 2 = 47 ≠ 6 Third option: + and × 35 × 7 + 12 – 6 ÷ 2 = 6 On solving the L.H.S. of the given equation – = 35 × 7 + 12 – 6 ÷ 2 = 35 × 7 + 12 – 3 = 245 + 12 – 3 = 254 ≠ 6 Fourth option: × and ÷ 35 + 7 ÷ 12 – 6 × 2 = 6 On solving the L.H.S. of the given equation – = 35 + 7 ÷ 12 – 6 × 2 = 35 + 0.58 – 6 × 2 = 35 + 0.58 – 12 = 23.58 ≠ 6
So, the first option satisfies the equation. Hence, the first option is correct.
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