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.
Verbal Reasoning
Classification
Difficulty: Easy
Choose an option
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A84
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B120
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C72
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D98
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ENone of these
Answer
Correct Answer: 98
Explanation
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:
84 → even; 8+4=12 → divisible by 3 → multiple of 6.120 → even; 1+2+0=3 → multiple of 6.72 → even; 7+2=9 → multiple of 6.98 → even; 9+8=17 (not multiple of 3) → not a multiple of 6.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).