Question

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

$(5 - 4) \div (81 + 9) \times (52 + 4) = ?$

• A. 5040
• B. 24
• C. 16
• D. 9

Answer 1

Answer:

C. 16

The value that will come in place of the question mark is 16.

1. Interchange the signs:

   • Swap ÷ and +

   • Swap − and ×

   $\text{Original Equation: } (5 - 4) \div (81 + 9) \times (52 + 4) = ?$
   $\text{New Equation: } (5 \times 4) + (81 \div 9) - (52 \div 4) = ?$

2. Solve the parentheses first (BODMAS rule):

   • $(5 \times 4) = 20$

   • $(81 \div 9) = 9$

   • $(52 \div 4) = 13$

3. Complete the addition and subtraction:
   $20 + 9 - 13$
   $29 - 13 = 16$