Question

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

$17 + \sqrt{9} \div \sqrt{25} \times 5 - 10 = ?$

• A. 17
• B. 10
• C. 24
• D. 2

Answer 1

Answer:

C. 24

The value that will come in place of the question mark is 24.

1. Interchange the signs:

   • Swap + and −

   • Swap ÷ and ×

   $\text{Original Equation: } 17 + \sqrt[2]{9} \div \sqrt[2]{25} \times 5 - 10 = ?$
   $\text{New Equation: } 17 - \sqrt[2]{9} \times \sqrt[2]{25} \div 5 + 10 = ?$

2. Simplify the square roots ($\sqrt[2]{\dots}$):

   • $\sqrt[2]{9} = 3$

   • $\sqrt[2]{25} = 5$

   Now substitute these values back into the equation:
   $17 - 3 \times 5 \div 5 + 10 = ?$

3. Compute using BODMAS rules (Division and Multiplication first):

   • Perform division: $5 \div 5 = 1$

   • Perform multiplication: $3 \times 1 = 3$

   The equation is now:
   $17 - 3 + 10 = ?$

4. Complete the addition and subtraction from left to right:

   • $17 - 3 = 14$

   • $14 + 10 = 24$