Question : Directions: Which two signs should be interchanged to make the given equation correct? 8 ÷ 2 × 7 – 5 + 2 = 1
Option 1: × and +
Option 2: + and –
Option 3: × and –
Option 4: + and =
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Correct Answer: × and +
Solution : Given: 8 ÷ 2 × 7 – 5 + 2 = 1
Let's check the options – First option: × and + Solving the L.H.S. of the equation – 8 ÷ 2 + 7 – 5 × 2 = 4 + 7 – 5 × 2 = 4 + 7 – 10 = 11 – 10 = 1 = R.H.S. Second option: + and – Solving the L.H.S. of the equation – 8 ÷ 2 × 7 + 5 – 2 = 4 × 7 + 5 – 2 = 28 + 5 – 2 = 31 ≠ 1 Third option: × and – Solving the L.H.S. of the equation – 8 ÷ 2 – 7 × 5 + 2 = 4 – 7 × 5 + 2 = 4 – 35 + 2 = –29 ≠ 1 Fourth option: + and = 8 ÷ 2 × 7 – 5 = 2 + 1 L.H.S. = 8 ÷ 2 × 7 – 5 = 4 × 7 – 5 = 28 – 5 = 23 R.H.S. = 2 + 1 = 3 23 ≠ 3
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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