In a certain code language, "+" represents multiplication, "-" represents addition, "x" represents division and "÷" represents subtraction. What is the value of 27 x 3 ÷ 30 + 5 - 125 when evaluated according to these coded operations?

Introduction / Context:
This question is very similar in structure to other coded arithmetic problems. Each familiar symbol in the expression represents a different operation from its usual meaning. To obtain the correct value of the expression 27 x 3 ÷ 30 + 5 - 125, you must first translate each symbol into its true operation and then evaluate the resulting expression with standard precedence rules.

Given Data / Assumptions:
- "+" represents multiplication.
- "-" represents addition.
- "x" represents division.
- "÷" represents subtraction.
- The coded expression is 27 x 3 ÷ 30 + 5 - 125.
- After decoding, we respect the usual arithmetic order: division and multiplication before addition and subtraction.

Concept / Approach:
The process again follows two phases. First, decode each symbol using the mapping provided by the question. Second, evaluate the decoded numeric expression carefully. Because the operators are reassigned, reading the expression without decoding leads to a completely different and incorrect result. Strict attention to the new meanings and to operator precedence is needed.

Step-by-Step Solution:
Step 1: Original coded expression: 27 x 3 ÷ 30 + 5 - 125. Step 2: According to the mapping, "x" becomes division, "÷" becomes subtraction, "+" becomes multiplication, and "-" becomes addition. Step 3: Rewrite the expression with true operations: 27 ÷ 3 - 30 * 5 + 125. Step 4: Apply operator precedence. First compute 27 ÷ 3 = 9. Step 5: Next compute 30 * 5 = 150. Step 6: Now process the remaining operations left to right: 9 - 150 + 125 = (9 - 150) + 125 = -141 + 125 = -16.

Verification / Alternative check:
We can quickly re verify each substitution. The symbol between 27 and 3 is "x", so we use division. The symbol between 3 and 30 is "÷", so we use subtraction. Between 30 and 5 is "+", so we use multiplication. Finally, between 5 and 125 is "-", so we use addition. Plugging these into the numeric calculation consistently gives -16. No alternative reading of the symbols matches the mappings from the question.

Why Other Options Are Wrong:
- Option 69 might arise if someone mistakenly treats some operations as ordinary plus or minus without decoding correctly.
- Option 67 is another example of calculation error or misapplied precedence when combining 9, 150, and 125.
- Option -15 suggests an arithmetic slip such as miscalculating -141 + 125.

Common Pitfalls:
Typical errors include decoding only part of the expression, forgetting to use multiplication where required, or not applying the standard operation order. A few candidates also attempt to evaluate the coded expression directly as it appears, which completely ignores the intended trick of the question. The safe habit is always to rewrite the entire expression with true operators before touching the numbers.

Final Answer:
After decoding each symbol and evaluating carefully, the value of the expression is -16.