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

\(\rm (6\div6)\times \sqrt[3]{8\div 8}=?\)

This question was previously asked in
RPF Constable 2024 Official Paper (Held On 02 Mar, 2025 Shift 3)
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  1. 9
  2. 18
  3. 3
  4. 8

Answer (Detailed Solution Below)

Option 1 : 9
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BODMAS

Given: (6 ÷ 6) × \(\sqrt[3]{8 \div 8}\) = ? 

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

(6 ÷ 6) × \(\sqrt[3]{8 \div 8}\) = ? ⇒ (6 × 6) ÷ \(\sqrt[3]{8 \times 8}\) = ?

⇒ (6 × 6) ÷ \(\sqrt[3]{8 \times 8}\) = ?

⇒ 36 ÷ \(\sqrt[3]{64}\) = ?

⇒ 36 ÷ 4 = ?

⇒ 9 = ?

Hence, "Option 1" is the correct answer.

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