Question

What will come in the place of the question mark (?) in the following equation if ‘+’ and ‘×’ are interchanged and ‘−’ and ‘÷’ are interchanged? 12 × 18 ÷14 − 7 + 3 = ?

• A. 24
• B. 12
• C. 36
• D. 18

Answer 1

Answer:

A. 24

To solve the equation, let's first apply the sign interchanges as instructed:

• ‘+’ and ‘×’ swap places.

• ‘−’ and ‘÷’ swap places.

1. Rewrite the Equation with New Signs

Original: $12 \times 18 \div 14 - 7 + 3 = ?$
New: $\mathbf{12 + 18 - 14 \div 7 \times 3 = ?}$

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2. Solve Using BODMAS / PEMDAS Rules

• Step 1: Division ($\div$)
  $14 \div 7 = 2$
  The equation becomes: $12 + 18 - 2 \times 3$

• Step 2: Multiplication ($\times$)
  $2 \times 3 = 6$
  The equation becomes: $12 + 18 - 6$

• Step 3: Addition (+)
  $12 + 18 = 30$
  The equation becomes: $30 - 6$

• Step 4: Subtraction (-)
  $30 - 6 = 24$

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Final Answer

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