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
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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