Choose the odd number: Among 15, 27, 37, and 39, three are multiples of 3 while one is not. Identify the non-multiple of 3.

Difficulty: Easy

Correct Answer: 37

Explanation:

Introduction / Context:This set separates multiples of 3 from a single non-multiple, which is the odd item.

Given Data / Assumptions:

  • Numbers: 15, 27, 37, 39.
  • Divisibility-by-3 via digit-sum rule.

Concept / Approach:Apply the digit-sum rule quickly, then confirm the outlier.

Step-by-Step Solution:

15 → 1 + 5 = 6 → multiple of 3.27 → 2 + 7 = 9 → multiple of 3.39 → 3 + 9 = 12 → multiple of 3.37 → 3 + 7 = 10 → not a multiple of 3.

Verification / Alternative check:37 is prime; 15, 27, and 39 are all divisible by 3 directly.

Why Other Options Are Wrong:They are consistent multiples of 3.

Common Pitfalls:Assuming “ends with 7” implies special divisibility; use the proper rule.

Final Answer:37 is not divisible by 3 and is the odd number.

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