Identify the odd number: Among 26, 34, 72, and 46, three are not divisible by 3, while one is divisible by 3. Pick the number that is a multiple of 3.
Verbal Reasoning
Classification
Difficulty: Easy
Choose an option
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A26
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B34
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C72
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D46
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ENone of these
Answer
Correct Answer: 72
Explanation
Introduction / Context:This item separates numbers based on divisibility by 3. The single multiple of 3 is the odd one out against three non-multiples.
Given Data / Assumptions:
- Options: 26, 34, 72, 46.
- Digit-sum rule for 3: sum of digits multiple of 3 → number divisible by 3.
Concept / Approach:Compute digit sums quickly and apply the rule.
Step-by-Step Solution:
26 → 2 + 6 = 8 → not divisible by 3.34 → 3 + 4 = 7 → not divisible by 3.72 → 7 + 2 = 9 → divisible by 3.46 → 4 + 6 = 10 → not divisible by 3.Verification / Alternative check:Direct division confirms 72/3 = 24 (integer). The others do not yield integers when divided by 3.
Why Other Options Are Wrong:They are not divisible by 3, matching the majority characteristic.
Common Pitfalls:Seeing “even” and assuming divisibility by 3; parity is irrelevant to divisibility by 3.
Final Answer:72 is the only multiple of 3 and thus the odd number.