Identify the odd number: Among 39, 69, 57, and 117, exactly one is a multiple of 19. Choose that number.
Verbal Reasoning
Classification
Difficulty: Medium
Choose an option
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A39
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B69
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C57
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D117
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ENone of these
Answer
Correct Answer: 57
Explanation
Introduction / Context:Targeted-divisor checks (like 19) often produce a unique outlier in a small set.
Given Data / Assumptions:
- Candidates: 39, 69, 57, 117.
- We test divisibility by 19.
Concept / Approach:Compare with nearby multiples: 19, 38, 57, 76, 95, 114, 133, …
Step-by-Step Solution:
57 = 19 * 3 → multiple of 19.39 = 3 * 13 → not a multiple of 19.69 = 3 * 23 → not a multiple of 19.117 = 9 * 13 → not a multiple of 19 (note: 19 * 6 = 114).Verification / Alternative check:Dividing each by 19: only 57/19 = 3 is an integer.
Why Other Options Are Wrong:They are not multiples of 19; 117 is close (114 is 19 * 6) but not equal.
Common Pitfalls:Choosing numbers near a multiple of 19 (e.g., 117) instead of exact multiples.
Final Answer:57 is the only multiple of 19 and hence the odd number.