In a certain code language, the operators are interchanged as follows: '+' means division (/), '−' means multiplication (*), '÷' means addition (+), and '×' means subtraction (-). Using this decoding, find the correct value of: 36×12+4÷6+2−3 = ?

Introduction / Context:
This question tests symbol interchanging in arithmetic expressions. The printed operators do not carry their usual meaning, so you must first decode them and then evaluate using standard precedence. Accuracy depends on correct replacement at each operator position.

Given Data / Assumptions:

• '+' means division (/).
• '−' means multiplication (*).
• '÷' means addition (+).
• '×' means subtraction (-).
• After decoding, use normal precedence (*/ before + and -).

Concept / Approach:
Rewrite the expression by replacing each operator with its decoded operation, maintaining the original operator positions. Then compute the final value normally.

Step-by-Step Solution:
Original: 36×12+4÷6+2−3 Decode operator by operator: × becomes - : 36 - 12 ... + becomes / : ... 12 / 4 ... ÷ becomes + : ... 4 + 6 ... + becomes / : ... 6 / 2 ... − becomes * : ... 2 * 3 So decoded expression is: 36 - 12 / 4 + 6 / 2 * 3 Compute: 12 / 4 = 3 Compute: 6 / 2 = 3 Compute: 3 * 3 = 9 Now: 36 - 3 + 9 = 42

Verification / Alternative check:
After decoding, the middle part becomes -3 + 9 = +6, so 36 + 6 = 42. This quick simplification confirms the computed result.

Why Other Options Are Wrong:
18: often from treating + as + instead of /. 6: from reducing the expression incorrectly. 2: from decoding only one operator or ignoring precedence. 12: from incorrect handling of the final multiplication.

Common Pitfalls:
Mixing up which operator maps to which, evaluating before decoding fully, and ignoring multiplication/division precedence are common mistakes.

Final Answer:
42