Find the odd number: Among 18, 30, 26, and 24, three are multiples of 6 while one is not. Identify the non-multiple of 6.
Verbal Reasoning
Classification
Difficulty: Easy
Choose an option
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A18
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B30
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C26
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D24
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ENone of these
Answer
Correct Answer: 26
Explanation
Introduction / Context:The majority are divisible by 6 (i.e., by both 2 and 3). The outlier fails divisibility by 3.
Given Data / Assumptions:
- Options: 18, 30, 26, 24.
- Multiple of 6 ⇔ divisible by 2 and by 3.
Concept / Approach:Apply digit-sum test for 3 and check evenness.
Step-by-Step Solution:
18 → even; 1 + 8 = 9 → multiple of 6.30 → even; 3 + 0 = 3 → multiple of 6.24 → even; 2 + 4 = 6 → multiple of 6.26 → even; 2 + 6 = 8 → not divisible by 3 → not a multiple of 6.Verification / Alternative check:Direct division shows only 26/6 is non-integer.
Why Other Options Are Wrong:They satisfy divisibility by both 2 and 3.
Common Pitfalls:Equating evenness with being a multiple of 6; the 3-test is also required.
Final Answer:26 is the odd number.