Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct? 45 – 6 + 108 ÷ 12 × 14 = 5
Option 1: ÷ and –
Option 2: × and –
Option 3: + and ×
Option 4: + and –
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Correct Answer: + and ×
Solution : Given: 45 – 6 + 108 ÷ 12 × 14 = 5
On interchanging the symbols, we get – First option: ÷ and – 45 ÷ 6 + 108 – 12 × 14 = 5 Solving the L.H.S. of the equation – = 7.5 + 108 – 12 × 14 = 7.5 + 108 – 168 = –52.5 ≠ 5 Second option: × and – 45 × 6 + 108 ÷ 12 – 14 = 5 Solving the L.H.S. of the equation – = 45 × 6 + 9 – 14 = 270 + 9 – 14 = 265 ≠ 5 Third option: + and × 45 – 6 × 108 ÷ 12 + 14 = 5 Solving the L.H.S. of the equation – = 45 – 6 × 9 + 14 = 45 – 54 + 14 = 59 – 54 = 5 = R.H.S. Fourth option: + and – 45 + 6 – 108 ÷ 12 × 14 = 5 Solving the L.H.S. of the equation – = 45 + 6 – 9 × 14 = 45 + 6 – 126 = –75 ≠ 5
So, only the third option satisfies the equation. Hence, the third option is correct.
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