Odd-one-out (number properties) Which word does NOT belong with the others? Choose the single best answer.

Difficulty: Easy

Correct Answer: three

Explanation:


Introduction / Context:
This question tests recognition of simple number properties. Four items are even integers when written as words, while one is an odd integer. Identifying parity (even versus odd) is a fundamental arithmetic skill, often used in quick odd-one-out problems.


Given Data / Assumptions:

  • Options (as words): two, three, six, eight, ten
  • Interpret each word as the corresponding integer.
  • Exactly one should violate the common property shared by the rest.


Concept / Approach:
Check parity of each number. Even numbers are divisible by 2 without remainder. Odd numbers yield a remainder of 1 when divided by 2. Find the lone odd among otherwise even numbers.


Step-by-Step Solution:

two → 2 is even (2 / 2 = 1 remainder 0).three → 3 is odd (3 / 2 = 1 remainder 1).six → 6 is even (6 / 2 = 3 remainder 0).eight → 8 is even (8 / 2 = 4 remainder 0).ten → 10 is even (10 / 2 = 5 remainder 0).Only 'three' is odd, so it does not belong with the others.


Verification / Alternative check:
Consider secondary properties: two is prime, three is prime, while six, eight, and ten are composite. That comparison yields two primes, not one. However, parity produces a single unique outlier (only one odd), which serves as the decisive criterion in this set.


Why Other Options Are Wrong:

  • Two: even.
  • Six: even.
  • Eight: even.
  • Ten: even.


Common Pitfalls:
Overthinking with properties like primality or factors. The cleanest, most uniform distinction is parity, and only 'three' differs in that respect. Choose the simplest rule that yields a unique outlier.


Final Answer:
three

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