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.

Difficulty: Easy

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.

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