Question : Directions: Which of the mathematical signs should be interchanged in the below equation, to make it mathematically correct?
10 + 54 ÷ 9 – 4 × 60 = 116
Option 1: – and ×
Option 2: ÷ and ×
Option 3: + and ×
Option 4: + and –
Correct Answer: + and ×
Solution :
Given:
10 + 54 ÷ 9 – 4 × 60 = 116
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
– and ×
10 + 54 ÷ 9 – 4 × 60 = 116
⇒ 10 + 54 ÷ 9 × 4 – 60
⇒ 10 + 6 × 4 – 60
⇒ –26 ≠ 116
Second option:
÷ and ×
10 + 54 ÷ 9 – 4 × 60 = 116
⇒ 10 + 54 × 9 – 4 ÷ 60
⇒ 10 + 54 × 9 – 0.06
⇒ 10 + 486 – 0.06
⇒ 495.94 ≠ 116
Third option:
+ and ×
10 + 54 ÷ 9 – 4 × 60 = 116
⇒ 10 × 54 ÷ 9 – 4 + 60
⇒ 10 × 6 – 4 + 60
⇒ 116 = 116
Fourth option:
+ and –
10 + 54 ÷ 9 – 4 × 60 = 116
⇒ 10 – 54 ÷ 9 + 4 × 60
⇒ 10 – 6 + 240
⇒ 244 ≠ 116
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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