Find the odd one out from the given set of numbers. 14, 28, 35, 46, 56, 84

Question

Find the odd one out from the given set of numbers.

14, 28, 35, 46, 56, 84

1. A. 56
2. B. 84
3. C. 35
4. D. 46 (Correct answer)

Correct Answer

Option D — 46

Detailed Solution & Explanation

The correct answer is 46.

Key Points

• Test each number for divisibility by 7: 14 = 7 x 2, 28 = 7 x 4, 35 = 7 x 5, 56 = 7 x 8, 84 = 7 x 12.
• 46 is not a multiple of 7 — 7 x 6 = 42 and 7 x 7 = 49, so 46 falls between them.
• Every other number in the set is a multiple of 7, making 46 the odd one out.

Additional Information

• When a numeric odd-one-out set contains several small multiples, testing a common factor first is usually quicker than looking for parity or square patterns.
• A useful divisibility check for 7: double the last digit and subtract it from the remaining number — for 46, 4 - 12 = -8, which is not a multiple of 7.