Question : Direction: The following equation is incorrect. Which two signs should be interchanged to correct the equation?
12 + 10 – 28 ÷ 7 × 4 = 48
Option 1: ÷ and –
Option 2: + and ÷
Option 3: – and +
Option 4: × and –
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Correct Answer: × and –
Solution : Given:
12 + 10 – 28 ÷ 7 × 4 = 48
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and –
= 12 + 10 ÷ 28 – 7 × 4
= 12 + 0.35 – 7 × 4
= 12 + 0.35 – 28
= –15.65 ≠ 48
Second option:
+ and ÷
= 12 ÷ 10 – 28 + 7 × 4
= 1.2 – 28 + 28
= 1.2 ≠ 48
Third option:
– and +
= 12 – 10 + 28 ÷ 7 × 4
= 12 – 10 + 4 × 4
= 12 – 10 + 16
= 18 ≠ 48
Fourth option:
× and –
= 12 + 10 × 28 ÷ 7 – 4
= 12 + 10 × 4 – 4
= 12 + 40 – 4
= 52 – 4
= 48 (This satisfies the R.H.S. of the given equation)
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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