Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
72 ÷ 4 × 64 + 8 – 24 = 80
Option 1: ÷ and ×
Option 2: – and +
Option 3: ÷ and +
Option 4: – and ×
Correct Answer: ÷ and +
Solution :
Given:
72 ÷ 4 × 64 + 8 – 24 = 80
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and ×
=
72 × 4 ÷ 64 + 8 – 24
=
72 × 0.0625 + 8 – 24
=
4.5 + 8 – 24
= –11.5 ≠ 80
Second option:
– and +
=
72 ÷ 4 × 64 – 8 + 24
=
18 × 64 – 8 + 24
=
1152 – 8 + 24
= 1168 ≠ 80
Third option:
÷ and +
=
72 + 4 × 64 ÷ 8 – 24
=
72 + 4 × 8 – 24
=
72 + 32 – 24
= 80 = R.H.S.
Fourth option:
– and ×
=
72 ÷ 4 – 64 + 8 × 24
=
18 – 64 + 8 × 24
=
18 – 64 + 192
= 146
≠ 80
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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