Question : Directions: Which two numbers should be interchanged to make the given equation correct? 8 × 3 – 12 ÷ 6 + 18 = 33
Option 1: 18 and 33
Option 2: 12 and 33
Option 3: 8 and 3
Option 4: 12 and 18
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Correct Answer: 12 and 18
Solution : Given: 8 × 3 – 12 ÷ 6 + 18 = 33
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 18 and 33 ⇒ 8 × 3 – 12 ÷ 6 + 33 = 18 Solving the L.H.S. of the equation – = 8 × 3 – 2 + 33 = 24 – 2 + 33 = 55 ≠ 18 Second option: 12 and 33 ⇒ 8 × 3 – 33 ÷ 6 + 18 = 12 Solving the L.H.S. of the equation – = 8 × 3 – 5.5 + 18 = 24 – 5.5 + 18 = 36.5 ≠ 12 Third option: 8 and 3 ⇒ 3 × 8 – 12 ÷ 6 + 18 = 33 Solving the L.H.S. of the equation – = 3 × 8 – 2 + 18 = 24 – 2 + 18 = 40 ≠ 33 Fourth option: 12 and 18 ⇒ 8 × 3 – 18 ÷ 6 + 12 = 33 Solving the L.H.S. of the equation – = 8 × 3 – 3 + 12 = 24 – 3 + 12 = 33 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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