From the given choices select the odd man out

2025

From the given choices select the odd man out

  1. A.

    10

  2. B.

    128

  3. C.

    30

  4. D.

    68

Show answer & explanation

Correct answer: B

In a numeric “odd one out” set built from prime factorisation, the values usually share a common structural feature — such as having several distinct prime factors — while exactly one value is built differently, most often as a single prime raised to a power. The way to solve it: find the prime factorisation of each number and compare how many DISTINCT primes each one uses.

  1. 10 = 2 × 5 → 2 distinct prime factors.

  2. 30 = 2 × 3 × 5 → 3 distinct prime factors.

  3. 68 = 22 × 17 → 2 distinct prime factors.

  4. 128 = 27 → only 1 distinct prime factor.

Three of the four values (10, 30, 68) are each built from two or more distinct primes; only 128 is built from a single prime (2) raised to a power, so 128 does not share the group's structure.

Cross-check: 128 is also the only value with no odd factor greater than 1 (every factor of 27 is itself a power of 2, so 1 is the sole odd one), and the only value that is not a two-digit number — both independent observations point to the same option.

Hence, 128 is the odd man out.

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