Question

What will come in the place of the question mark (?) in the following equation if ‘2’ and ‘5’ are interchanged and ‘9’ and ‘3’ are interchanged? 2 – 12 ÷ 9 × 3 + 5 =?

• A. -19
• B. -29
• C. -11
• D. 3

Answer 1

Answer:

B. -29

The correct value that will come in place of the question mark is -29.

---

1. Original Equation:
   $2 - 12 \div 9 \times 3 + 5 = ?$

2. Applying the Interchanges:

   • Swap ‘2’ and ‘5’

   • Swap ‘9’ and ‘3’

   (Note: The '2' inside the number 12 remains unchanged as the instruction specifies interchanging the independent numbers/values).New Equation:
   $5 - 12 \div 3 \times 9 + 2 = ?$

3. Solving via BODMAS Rule:

   • Division ($\div$): $12 \div 3 = 4$
     $5 - 4 \times 9 + 2 = ?$

   • Multiplication ($\times$): $4 \times 9 = 36$
     $5 - 36 + 2 = ?$

   • Addition & Subtraction ($+$ / $-$):
     $5 + 2 - 36$
     $7 - 36 = \mathbf{-29}$