Question : Directions: Which of the mathematical signs should be interchanged in the below equation, to make it mathematically correct? 45 – 5 + 96 ÷ 8 × 24 = 9
Option 1: + and –
Option 2: × and –
Option 3: ÷ and –
Option 4: + and ×
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Correct Answer: + and ×
Solution : Given: 45 – 5 + 96 ÷ 8 × 24 = 9
Replace the given symbols according to the options one by one with the original symbols in the given equation. First option: + and – 45 – 5 + 96 ÷ 8 × 24 = 9 ⇒ 45 + 5 – 96 ÷ 8 × 24 = 50 – 12 × 24 = 50 – 288 = –238 ≠ 9 Second option: × and – 45 – 5 + 96 ÷ 8 × 24 = 9 ⇒ 45 × 5 + 96 ÷ 8 – 24 = 225 + 12 – 24 = 213 ≠ 9 Third option: ÷ and – 45 – 5 + 96 ÷ 8 × 24 = 9 ⇒ 45 ÷ 5 + 96 – 8 × 24 = 9 + 96 – 192 = –90 ≠ 9 Fourth option: + and × 45 – 5 + 96 ÷ 8 × 24 = 9 ⇒ 45 – 5 × 96 ÷ 8 + 24 = 45 – 60 + 24 = 9
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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