Question

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

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

• A. 8
• B. 18
• C. 9
• D. 3

Answer 1

Answer:

C. 9

9The value that will come in place of the question mark is 9.

1. Interchange the signs:
   Replace every division sign ($\div$) with a multiplication sign ($\times$), and every multiplication sign ($\times$) with a division sign ($\div$).
   $\text{Original Equation: } (6 \div 6) \times \sqrt[3]{8 \div 8} = ?$
   $\text{New Equation: } (6 \times 6) \div \sqrt[3]{8 \times 8} = ?$

2. Simplify the terms inside the parentheses and the cube root:

   • $(6 \times 6) = 36$

   • $\sqrt[3]{8 \times 8} = \sqrt[3]{64} = 4$

3. Perform the final division:
   $36 \div 4 = 9$