Question : Directions: Which two signs should be interchanged to make the given equation correct? 13 – 25 = 5 + 4 ÷ 12
Option 1: + and =
Option 2: – and =
Option 3: + and –
Option 4: ÷ and =
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Correct Answer: ÷ and =
Solution : Given: 13 – 25 = 5 + 4 ÷ 12
On interchanging the symbols as given in the options, we get – First option: + and = 13 – 25 + 5 = 4 ÷ 12 L.H.S. = 13 – 25 + 5 = – 7 R.H.S. = 4 ÷ 12 = 0.33 L.H.S. ≠ R.H.S. Second option: – and = 13 = 25 – 5 + 4 ÷ 12 L.H.S. = 13 R.H.S. = 25 – 5 + 4 ÷ 12 = 25 – 5 + 0.33 = 20.33 L.H.S. ≠ R.H.S. Third option: + and – 13 + 25 = 5 – 4 ÷ 12 L.H.S. = 13 + 25 = 38 R.H.S. = 5 – 4 ÷ 12 = 5 – 0.33 = 4.67 L.H.S. ≠ R.H.S. Fourth option: ÷ and = 13 – 25 ÷ 5 + 4 = 12 L.H.S. = 13 – 25 ÷ 5 + 4 = 13 – 5 + 4 = 12 R.H.S. = 12 L.H.S. = 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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