Classification – Four-digit numbers (first equals last): in three numbers the first and last digits are equal; one number breaks this symmetry. Find the odd one out. Options: 3463, 5725, 6514, 8948.

Introduction / Context:Digit-pattern classifications frequently check positional symmetry. A simple equality between first and last digits can define the majority pattern.

Given Data / Assumptions:

• 3463 → first digit 3, last digit 3 → equal.
• 5725 → 5 and 5 → equal.
• 8948 → 8 and 8 → equal.
• 6514 → 6 and 4 → not equal.

Concept / Approach:Test first–last digit equality for each number and select the one that fails.

Step-by-Step Solution:Mark 3463, 5725, 8948 as symmetric at ends.Mark 6514 as asymmetric at ends.Therefore, 6514 is the odd one out.

Verification / Alternative check:Read digits carefully; the center digits are irrelevant in this rule.

Why Other Options Are Wrong:3463/5725/8948: Each satisfies the first=last rule.

Common Pitfalls:Accidentally checking first=second or other non-specified comparisons; the rule concerns the extreme positions only.

Final Answer:6514