Question

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

$17 \times 22 \div 11 \div 28 - 14 + 3 = ?$

• A. 14
• B. 22
• C. 17
• D. 7

Answer 1

Answer:

B. 22

The value that will come in place of the question mark is 22.

1. Interchange the signs:

   • Swap − and ÷

   • Swap + and ×

   $\text{Original Equation: } 17 \times 22 \div 11 \div 28 - 14 + 3 = ?$
   $$\text{New Equation: } 17 + 22 - 11 - 28 \div 14 \times 3 = ?$

2. Perform Division first (BODMAS rule):

   • $28 \div 14 = 2$

   The equation becomes:
   $17 + 22 - 11 - 2 \times 3 = ?$

3. Perform Multiplication next:

   • $2 \times 3 = 6$

   The equation becomes:
   $17 + 22 - 11 - 6 = ?$

4. Solve addition and subtraction from left to right:

   • $17 + 22 = 39$

   • $39 - 11 = 28$

   • $28 - 6 = 22$