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Find the odd number out in the sequence: 6, 9, 15, 21, 24, 28, 30.

Difficulty: Easy

Correct Answer: 28

Explanation:

Problem restatement
From 6, 9, 15, 21, 24, 28, 30, determine the single term that does not share the common divisibility property.


Given data

  • Sequence: 6, 9, 15, 21, 24, 28, 30

Concept / Approach
Most terms look like multiples of 3. Use the sum-of-digits test for divisibility by 3.


Step-by-step validation
6 → 6 (sum 6) → divisible by 3 9 → 9 (sum 9) → divisible by 3 15 → 1+5=6 → divisible by 3 21 → 2+1=3 → divisible by 3 24 → 2+4=6 → divisible by 3 28 → 2+8=10 → not divisible by 3 30 → 3+0=3 → divisible by 3

Exactly one term (28) is not divisible by 3.


Verification / Alternative
Direct division confirms: 28 ÷ 3 = 9 remainder 1 (not a multiple of 3).


Common pitfalls

  • Relying on evenness: several terms are even, so parity does not isolate a unique outlier.

Final Answer
28

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