Question : Directions: By interchanging which two signs the equation will be correct? 15 + 5 ÷ 2 – 9 × 3 = 22
Option 1: + and –
Option 2: × and ÷
Option 3: × and –
Option 4: ÷ and +
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Correct Answer: × and ÷
Solution : Given: 15 + 5 ÷ 2 – 9 × 3 = 22
Let's check the options – First option: + and – On interchanging the mathematical signs, we get – = 15 – 5 ÷ 2 + 9 × 3 = 15 – 2.5 + 9 × 3 = 15 – 2.5 + 27 = 39.5 ≠ 22 Second option: × and ÷ On interchanging the mathematical signs, we get – = 15 + 5 × 2 – 9 ÷ 3 = 15 + 5 × 2 – 3 = 15 + 10 – 3 = 22 Third option: × and – On interchanging the mathematical signs, we get – = 15 + 5 ÷ 2 × 9 – 3 = 15 + 2.5 × 9 – 3 = 15 + 22.5 – 3 = 34.5 ≠ 22 Fourth option: ÷ and + On interchanging the mathematical signs, we get – = 15 ÷ 5 + 2 – 9 × 3 = 3 + 2 – 9 × 3 = 3 + 2 – 27 = –22 ≠ 22
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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