Question : Directions: Which two numbers should be interchanged to make the given equation correct? 12 × 4 – 8 + 9 ÷ 3 = 32
Option 1: 4 and 9
Option 2: 12 and 3
Option 3: 12 and 9
Option 4: 32 and 12
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Correct Answer: 12 and 9
Solution : Given: 12 × 4 – 8 + 9 ÷ 3 = 32
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 4 and 9 ⇒ 12 × 9 – 8 + 4 ÷ 3 = 32 Solving the L.H.S. of the equation – = 12 × 9 – 8 + 1.34 = 108 – 8 + 1.34 = 101.34 ≠ 32 Second option: 12 and 3 ⇒ 3 × 4 – 8 + 9 ÷ 12 = 32 Solving the L.H.S. of the equation – = 3 × 4 – 8 + 0.75 = 12 – 8 + 0.75 = 4.75 ≠ 32 Third option: 12 and 9 ⇒ 9 × 4 – 8 + 12 ÷ 3 = 32 Solving the L.H.S. of the equation – = 9 × 4 – 8 + 4 = 36 – 8 + 4 = 32 = R.H.S. Fourth option: 32 and 12 ⇒ 32 × 4 – 8 + 9 ÷ 3 = 12 Solving the L.H.S. of the equation – = 32 × 4 – 8 + 3 = 128 – 8 + 3 = 123 ≠ 12
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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