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
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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