Question : Directions: Which of the following interchange of signs would make the given equation correct? 13 + 26 × 2 – 5 ÷ 4 = 6
Option 1: ÷ and +
Option 2: + and –
Option 3: × and –
Option 4: × and ÷
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Correct Answer: × and ÷
Solution : Given: 13 + 26 × 2 – 5 ÷ 4 = 6
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷ and + = 13 ÷ 26 × 2 – 5 + 4 = 1 – 5 + 4 = 0 ≠ 6 Second option: + and – = 13 – 26 × 2 + 5 ÷ 4 = 13 – 52 + 1.25 = –37.75 ≠ 6 Third option: × and – = 13 + 26 – 2 × 5 ÷ 4 = 39 – 2.50 = 36.50 ≠ 6 Fourth option: × and ÷ = 13 + 26 ÷ 2 – 5 × 4 = 13 + 13 – 20 = 6 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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