What will come in place of the question mark (?) in the following equation if ‘−’ and ‘+’ are interchanged and ‘÷’ and ‘×’ are interchanged? 

\(17+\sqrt[2]{9}\div \sqrt[2]{25}\times 5-10=?\)

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RPF Constable 2024 Official Paper (Held On 03 Mar, 2025 Shift 1)
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  1. 10
  2. 24
  3. 17
  4. 2

Answer (Detailed Solution Below)

Option 2 : 24
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BODMAS

Given equation: \(17+\sqrt[2]{9}÷ \sqrt[2]{25}× 5-10=?\)

According to the question, after '+' and '−' are interchanged and '×' and '÷' are interchanged:

\(17+\sqrt[2]{9}÷ \sqrt[2]{25}× 5-10=?\) ⇒ \(17-\sqrt[2]{9}× \sqrt[2]{25}÷ 5+10=?\)

⇒ \(17-\sqrt[2]{9}× \sqrt[2]{25}÷ 5+10=?\)

⇒ 17 - 3 × 5 ÷ 5 + 10 = ?

⇒ 17 - 3 × 1 + 10 = ? 

17 + 10 - 3 = ?

⇒ 27 - 3 = ?

⇒ 24 = ?

Hence, "Option 2" is the correct answer.

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