Question : Directions: By Interchanging which two signs the equation will be correct? 6 – 10 × 8 ÷ 5 + 7 = 15
Option 1: + and –
Option 2: ÷ and –
Option 3: + and ÷
Option 4: × and ÷
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Correct Answer: + and –
Solution : Given: 6 – 10 × 8 ÷ 5 + 7 = 15
Let's check the given options – First option: + and – On interchanging the mathematical signs, we get – 6 + 10 × 8 ÷ 5 – 7 = 15 Solving the L.H.S. of the given equation – = 6 + 10 × 8 ÷ 5 – 7 = 6 + 16 – 7 = 22 – 7 = 15 = R.H.S. Second option: ÷ and – On interchanging the mathematical signs, we get – 6 ÷ 10 × 8 – 5 + 7 = 15 Solving the L.H.S. of the given equation – = 6 ÷ 10 × 8 – 5 + 7 = 4.8 – 5 + 7 = 11.8 – 5 = 6.8 ≠ 15 Third option: + and ÷ On interchanging the mathematical signs, we get – 6 – 10 × 8 + 5 ÷ 7 = 15 Solving the L.H.S. of the given equation – = 6 – 10 × 8 + 5 ÷ 7 = 6 – 10 × 8 + 0.71 = 6 – 80 + 0.71 = 6.71 – 80 = –73.29 ≠ 15 Fourth option: × and ÷ On interchanging the mathematical signs, we get – 6 – 10 ÷ 8 × 5 + 7 = 15 Solving the L.H.S. of the given equation – = 6 – 10 ÷ 8 × 5 + 7 = 6 – 6.25 + 7 = 13 – 6.25 = 6.75 ≠ 15
So, only the first option satisfies the given equation. Hence, the first option is correct.
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