Question : Directions: Which two signs should be interchanged to make the given equation correct? 7 × 2 + 4 – 6 ÷ 3 = 12
Option 1: × and –
Option 2: = and ×
Option 3: – and +
Option 4: – and =
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Correct Answer: – and +
Solution : Given: 7 × 2 + 4 – 6 ÷ 3 = 12
Let's check the options – First option: × and – 7 – 2 + 4 × 6 ÷ 3 = 12 L.H.S. = 7 – 2 + 4 × 2 = 7 – 2 + 8 = 15 – 2 = 13 ≠ 12 Second option: = and × 7 = 2 + 4 – 6 ÷ 3 × 12 L.H.S. = 7 R.H.S. = 2 + 4 – 6 ÷ 3 × 12 = 2 + 4 – 2 × 12 = 2 + 4 – 24 = 6 – 24 = –18 ≠ 7 Third option: – and + 7 × 2 – 4 + 6 ÷ 3 = 12 L.H.S. = 7 × 2 – 4 + 6 ÷ 3 = 7 × 2 – 4 + 2 = 14 – 4 + 2 = 12 = R.H.S. Fourth option: – and = 7 × 2 + 4 = 6 ÷ 3 – 12 L.H.S. = 7 × 2 + 4 = 14 + 4 = 18 R.H.S. = 6 ÷ 3 – 12 = 2 – 12 = –10 ⇒ 18 ≠ –10
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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