Decode the operators (L = ×, M = ÷, P = +, Q = −) and evaluate the coded expression: 16 P 24 M 8 Q 6 M 2 L 3

Introduction / Context:
Operator-coding questions replace arithmetic signs with letters. We must first decode the letters to their true operators, then evaluate the expression with standard precedence (multiplication and division before addition and subtraction).

Given Data / Assumptions:

• Mappings: L = ×, M = ÷, P = +, Q = −.
• Expression: 16 P 24 M 8 Q 6 M 2 L 3.
• No hidden parentheses beyond those implied by precedence.

Concept / Approach:
Translate letter-operators into standard signs, compute division and multiplication first, then perform the remaining additions/subtractions left-to-right.

Step-by-Step Solution:
Decode: 16 + 24 ÷ 8 − 6 ÷ 2 × 3.Compute divisions and multiplications: 24 ÷ 8 = 3; 6 ÷ 2 = 3; then 3 × 3 = 9.Now evaluate: 16 + 3 − 9 = 19 − 9 = 10.

Verification / Alternative check:
Re-ordering operations incorrectly (e.g., doing +/− before ×/÷) would yield a different number; recomputation with precedence confirms 10.

Why Other Options Are Wrong:
They correspond to common mistakes such as ignoring precedence or mis-decoding one of the letters.

Common Pitfalls:
Performing 6 ÷ 2 × 3 as 6 ÷ (2 × 3) (it is actually left-to-right within equal precedence: (6 ÷ 2) × 3).

Final Answer:
10.