If = ×, @ = −, = +, then evaluate: 9 2 @ 3 1

Question

If = ×, @ = −, = +, then evaluate: 9 2 @ 3 1

1. A. 18
2. B. 14
3. C. 16 (Correct answer)
4. D. 17

Correct Answer

Option C — 16

Detailed Solution & Explanation

The correct answer is 16.

Key Points

• Substitute the symbols: # = ×, @ = −, $ = +.
• The expression 9 # 2 @ 3 $ 1 becomes 9 × 2 − 3 + 1. By BODMAS, 9 × 2 = 18, then 18 − 3 + 1 = 16.
• Replace every symbol first, then apply BODMAS (multiplication before addition/subtraction) — evaluating left-to-right without precedence would give the wrong value.