Question : Directions: By interchanging which two signs the given equation will be correct? 39 – 3 ÷ 13 + 16 × 8 = 17
Option 1: × and –
Option 2: + and –
Option 3: ÷ and –
Option 4: × and ÷
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Correct Answer: × and –
Solution : Given: 39 – 3 ÷ 13 + 16 × 8 = 17
Let's check the options – First option: × and – 39 – 3 ÷ 13 + 16 × 8 = 17 On interchanging the mathematical signs, we get – ⇒ 39 × 3 ÷ 13 + 16 – 8 = 17 ⇒ 9 + 16 – 8 ⇒ 25 – 8 ⇒ 17 Second option: + and – 39 – 3 ÷ 13 + 16 × 8 = 17 On interchanging the mathematical signs, we get – ⇒ 39 + 3 ÷ 13 – 16 × 8 = 17 ⇒ 39 + 0.23 – 16 × 8 ⇒ 39 + 0.23 – 128 ⇒ – 88.77 ≠ 17 Third option: ÷ and – 39 – 3 ÷ 13 + 16 × 8 = 17 On interchanging the mathematical signs, we get – ⇒ 39 ÷ 3 – 13 + 16 × 8 = 17 ⇒ 13 – 13 + 16 × 8 ⇒ 13 – 13 + 128 ⇒ 128 ≠ 17 Fourth option: × and ÷ 39 – 3 ÷ 13 + 16 × 8 = 17 On interchanging the mathematical signs, we get – ⇒ 39 – 3 × 13 + 16 ÷ 8 = 17 ⇒ 39 – 3 × 13 + 2 ⇒ 39 – 39 + 2 ⇒ 2 ≠ 17
Here, only the first option satisfies the R.H.S. of the equation. Hence, the first option is correct.
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