In this aptitude reasoning question on small integers, find the odd number out from the series: 6, 8, 5, 10, 4, 14.

Difficulty: Easy

Correct Answer: 5

Explanation:


Introduction / Context:
This question tests basic number classification skills. The series given is 6, 8, 5, 10, 4 and 14, and you are asked to identify which number is least like the others. Instead of looking for a complicated numerical pattern, this problem is built around a very simple property: whether a number is even or odd.


Given Data / Assumptions:

  • Series: 6, 8, 5, 10, 4, 14.
  • You must pick one number as the odd man out.
  • We consider basic properties such as parity (even or odd).
  • No advanced operations like squares or cubes are required.


Concept / Approach:
The easiest and most natural way to tackle this question is to check whether each number is even or odd. Even numbers are divisible by 2, while odd numbers are not. If most numbers in the series are even and only one number is odd, then that odd number becomes the odd one out in the logical sense as well.


Step-by-Step Solution:
Step 1: Test 6 for parity.6 / 2 = 3 with no remainder, so 6 is an even number.Step 2: Test 8 for parity.8 / 2 = 4 with no remainder, so 8 is also even.Step 3: Test 5 for parity.5 / 2 leaves a remainder of 1, so 5 is an odd number.Step 4: Test 10, 4 and 14 similarly.10, 4 and 14 are all divisible by 2 with no remainder, so they are even numbers.Step 5: Compare the classification.Only 5 is odd; all the other numbers are even. Hence 5 is the odd one out.


Verification / Alternative check:
You can also confirm this visually by listing the numbers into two groups. Even group: 6, 8, 10, 4, 14. Odd group: 5. Since one number sits alone in the odd group, it is clearly the one that does not share the key property of being even, which dominates the series. This simple parity-based classification is standard in many basic aptitude questions.


Why Other Options Are Wrong:
8: Even number, shares the main property with 6, 10, 4 and 14.
10: Also an even number, fits the majority pattern.
4: Even as well and therefore belongs to the same group of numbers that are divisible by 2.


Common Pitfalls:
Sometimes learners search for complicated patterns involving multiplication or differences and overlook the most basic properties. When numbers are small and simple, always check parity, divisibility by 3 or 5, and other basic characteristics before trying advanced logic. This not only saves time in exams but also reduces errors caused by overthinking straightforward problems.


Final Answer:
The odd number out in the series is 5, because it is the only odd number whereas all the other numbers are even.

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