Question

What will come in the place of ‘?’ in the following equation, if ‘÷’ and ‘–’ are interchanged and ‘×’ and ‘+’ are interchanged? 36 × 104 − 13 + 8 ÷ 38 = ?

• A. 42
• B. 72
• C. 52
• D. 62

Answer 1

Answer:

D. 62

The number that will come in place of ‘?’ is 62.

1. Rewrite the equation with interchanged signs:

• Change × to + and + to ×

• Change − to ÷ and ÷ to −

The new mathematical expression becomes:
$36 + 104 \div 13 \times 8 - 38 = ?$

2. Solve using the order of operations (BODMAS):

• Step 1: Division ($\div$)
  $104 \div 13 = 8$
  The equation becomes:
  $36 + 8 \times 8 - 38 = ?$

• Step 2: Multiplication ($\times$)
  $8 \times 8 = 64$
  The equation becomes:
  $36 + 64 - 38 = ?$

• Step 3: Addition ($+$)
  $36 + 64 = 100$
  The equation becomes:
  $100 - 38 = ?$

• Step 4: Subtraction ($-$)
  $100 - 38 = 62$

The final value replacing the question mark is 62.