Question

What will come in the place of the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 16 × 4 ÷ 6 − 23 + 16 = ?

• A. 31
• B. 17
• C. 15
• D. 63

Answer 1

Answer:

A. 31

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: $16 \times 4 \div 6 - 23 + 16 = ?$
New: $\mathbf{16 \div 4 \times 6 + 23 - 16 = ?}$

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2. Solve Using BODMAS / PEMDAS Rules

• Step 1: Division ($\div$)
  $16 \div 4 = 4$
  The equation becomes: $4 \times 6 + 23 - 16$

• Step 2: Multiplication ($\times$)
  $4 \times 6 = 24$
  The equation becomes: $24 + 23 - 16$

• Step 3: Addition (+)
  $24 + 23 = 47$
  The equation becomes: $47 - 16$

• Step 4: Subtraction (-)
  $47 - 16 = 31$

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Final Answer

The number that will come in place of the question mark is 31.