Number series (paired repetition, +12 progression) Sequence: 14 14 26 26 38 38 50 … Choose the next two numbers that correctly continue the pattern.

Introduction / Context:This quantitative aptitude problem asks you to recognize a repeating structure inside a number series. Many exam series alternate between repeating terms and stepwise increases. Identifying both the repeat rule and the increment size is the key.

Given Data / Assumptions:

• Observed sequence: 14, 14, 26, 26, 38, 38, 50, …
• The pattern appears to place numbers in pairs.
• The first element of each new pair increases by a constant amount.

Concept / Approach:Break the series into pairs and analyze the first item of each pair. If the first items form an arithmetic progression, the second item of each pair simply repeats the first.

Step-by-Step Solution:

Verification / Alternative check:First-of-pair subsequence is an arithmetic progression: 14, 26, 38, 50, 62 with common difference 12. Each value is duplicated, matching the given run.

Why Other Options Are Wrong:

• 60 72: Skips the repetition rule and adds an incorrect +10 step.
• 50 72: Correct first term, wrong second term (+22 instead of +12).
• 62 62: Ignores the required repeat of 50 first.
• 62 80: Jumps ahead by +12 twice without repeating 50.

Common Pitfalls:Missing the immediate repetition before moving to the next +12 value.

Final Answer:50 62