Find the odd number: Among 12, 24, 42, and 32, three are multiples of 6 while one is not. Identify the number that is not divisible by 6.

Introduction / Context:
Many classification items rely on common divisibility. Here, most numbers are multiples of 6 (i.e., divisible by both 2 and 3). The non-multiple is the odd one out.

Given Data / Assumptions:

• Candidates: 12, 24, 42, 32.
• Multiple of 6 ⇔ divisible by 2 and by 3.

Concept / Approach:
Check evenness (divisible by 2) and the digit-sum rule for 3. A number must satisfy both to be a multiple of 6.

Step-by-Step Solution:

Verification / Alternative check:
Direct division: 12/6 = 2, 24/6 = 4, 42/6 = 7, whereas 32/6 is not an integer.

Why Other Options Are Wrong:
They are exact multiples of 6 and thus fit the dominant property.

Common Pitfalls:
Stopping after checking evenness; remember a multiple of 6 must also pass divisibility by 3.

Final Answer:
32 is not a multiple of 6 and is the odd number.