Question : Directions: Which two signs should be interchanged, to make the given equation correct? 8 + 9 ÷ 5 × 4 – 2 = 7
Option 1: = and +
Option 2: – and =
Option 3: ÷ and –
Option 4: + and –
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Correct Answer: ÷ and –
Solution : Given: 8 + 9 ÷ 5 × 4 – 2 = 7
Replace the given symbols in the options one by one with the original symbols in the given equation. Let's check the given options – First Option: = and + 8 + 9 ÷ 5 × 4 – 2 = 7 ⇒ 8 = 9 ÷ 5 × 4 – 2 + 7 Solving the R.H.S. of the equation – = 1.8 × 4 – 2 + 7 = 7.2 – 2 + 7 = 12.2 ≠ 8 Second option: – and = 8 + 9 ÷ 5 × 4 – 2 = 7 ⇒ 8 + 9 ÷ 5 × 4 = 2 – 7 Solving the L.H.S. of the equation – = 8 + 1.8 × 4 = 8 + 7.2 = 15.2 Solving the R.H.S. of the equation – = 2 – 7 = –5 L.H.S ≠ R.H.S Third option: ÷ and – 8 + 9 ÷ 5 × 4 – 2 = 7 ⇒ 8 + 9 – 5 × 4 ÷ 2 = 7 Solving the L.H.S. of the equation – = 8 + 9 – 5 × 2 = 8 + 9 – 10 = 7 Fourth option: + and – 8 + 9 ÷ 5 × 4 – 2 = 7 ⇒ 8 – 9 ÷ 5 × 4 + 2 = 7 Solving the L.H.S. of the equation – = 8 – 1.8 × 4 + 2 = 8 – 7.2 + 2 = 2.8 ≠ 7
So, only the third option satisfies the given equation. Hence, the third option is correct.
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