In this number analogy, 14 is related to 16. Using the same pattern, which number should complete the analogy 14 : 16 :: 22 : ?

Introduction / Context:
This question is a simple numerical analogy based on adding a constant value. The pair 14 : 16 immediately hints at a small difference between the two numbers. Identifying this difference and applying it consistently to the second number in the analogy allows us to find the correct answer quickly.

Given Data / Assumptions:
First pair: 14 : 16. Second pair: 22 : ?. All numbers are integers. The pattern is likely a simple addition or subtraction.

Concept / Approach:
We start by computing the difference between 14 and 16. Seeing that this difference is 2 suggests that the transformation is add 2. To maintain the analogy, the same operation of adding 2 must be applied to 22. Because the question is straightforward, the main challenge is just to avoid overcomplicating the pattern.

Step-by-Step Solution:
Step 1: Compute the difference in the first pair. 16 - 14 = 2. Step 2: Interpret the rule. The second number is obtained by adding 2 to the first number. Step 3: Apply this rule to 22. 22 + 2 = 24. Step 4: Match the result with the options. 24 appears as option C, so it is the candidate answer.

Verification / Alternative check:
We can check whether any other simple interpretation might fit both pairs. For example, if we tried adding 12 or subtracting any constant, such operations would not align with 14 to 16. The only natural and consistent transformation is add 2. Therefore, applying add 2 to 22 gives 24, and no other option can be justified without breaking the rule observed in the first pair.

Why Other Options Are Wrong:
26 results from adding 4 to 22, which does not match the difference between 14 and 16. 29 is 7 more than 22, and nothing in the first pair indicates an addition of 7. 28 is 6 more than 22, so it fails to preserve the add 2 pattern. 20 is less than 22 by 2 and would correspond to subtracting 2 rather than adding 2.

Common Pitfalls:
Some candidates overthink simple analogies and search for complex patterns such as multiplication or combined operations. In exams, it is wise to check small constant differences first. If a clean and obvious rule such as adding 2 explains the first pair perfectly, it is usually the intended pattern. Learning to spot and apply such simple relationships quickly can save valuable time.

Final Answer:
The number that correctly completes the analogy is 24.