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 –
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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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