Question : Directions: Which two signs should be interchanged to make the given equation correct? 9 × 4 + 6 ÷ 3 – 5 = 39
Option 1: ÷ and –
Option 2: × and +
Option 3: – and +
Option 4: – and =
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Correct Answer: – and +
Solution : Given: 9 × 4 + 6 ÷ 3 – 5 = 39
On interchanging the symbols as given in the options, we get – First option: ÷ and – 9 × 4 + 6 – 3 ÷ 5 = 39 Solving the L.H.S. of the equation – = 9 × 4 + 6 – 0.6 = 36 + 6 – 0.6 = 41.4 ≠ 39 Second option: × and + 9 + 4 × 6 ÷ 3 – 5 = 39 Solving the L.H.S. of the equation – = 9 + 4 × 2 – 5 = 9 + 8 – 5 = 12 ≠ 39 Third option: – and + 9 × 4 – 6 ÷ 3 + 5 = 39 Solving the L.H.S. of the equation – = 9 × 4 – 2 + 5 = 36 – 2 + 5 = 39 = R.H.S. Fourth option: – and = 9 × 4 + 6 ÷ 3 = 5 – 39 Solving the L.H.S. of the equation – = 9 × 4 + 6 ÷ 3 = 9 × 4 + 2 = 36 + 2 = 38 R.H.S. = 5 – 39 = –34 38 ≠ –34
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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