Question : Directions: Which two signs should be interchanged to make the given equation correct?
8 = 5 – 31 + 12 ÷ 2 × 15
Option 1: + and ÷
Option 2: × and =
Option 3: ÷ and –
Option 4: – and +
Correct Answer: × and =
Solution :
Given:
8 = 5 – 31 + 12 ÷ 2 × 15
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
+ and ÷
⇒ 8 = 5 – 31 ÷ 12 + 2 × 15
Solving the R.H.S. of the equation –
= 5 – 2.58 + 30
= 32.42 ≠ 8
Second option:
× and =
⇒ 8 × 5 – 31 + 12 ÷ 2 = 15
Solving the L.H.S. of the equation –
= 8 × 5 – 31 + 6
= 40 – 31 + 6
= 15 = R.H.S.
Third option:
÷ and –
⇒ 8 = 5 ÷ 31 + 12 – 2 × 15
Solving the R.H.S. of the equation –
= 0.16 + 12 – 30
= –17.84 ≠ 8
Fourth option:
– and +
⇒ 8 = 5 + 31 – 12 ÷ 2 × 15
Solving the R.H.S. of the equation –
= 5 + 31 – 6 × 15
= 5 + 31 – 90
= 36 – 90
= –54 ≠ 8
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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