Identify the odd number: Among 84, 120, 72, and 98, three are divisible by 6 (by 2 and by 3) while one is not. Choose the non-multiple of 6.

Introduction / Context:A number is a multiple of 6 if it is even and divisible by 3. We separate the one that fails this combined criterion.

Given Data / Assumptions:

• Set: 84, 120, 72, 98.
• Digit-sum rule for 3 and parity for 2.

Concept / Approach:Apply the two checks: evenness and divisibility by 3.

Step-by-Step Solution:

Verification / Alternative check:Direct division by 6 yields integer results for 84, 120, 72, but not for 98.

Why Other Options Are Wrong:They satisfy both conditions and are multiples of 6.

Common Pitfalls:Stopping after checking evenness only; divisibility by 3 is also required.

Final Answer:98 is the odd number (not a multiple of 6).