Classification (number pairs – squares): Three pairs follow the pattern second number = first number^2; one pair violates the square relation. Identify the odd pair.

Difficulty: Easy

Correct Answer: 14-186

Explanation:


Introduction / Context:
Square relations are among the most frequent patterns in number classification tasks. Rapid recognition of n^2 values helps identify mistakes or deliberate distractors. In this problem, three pairs are correct square mappings while one is incorrect. Your job is to spot the incorrect mapping quickly and reliably.



Given Data / Assumptions:

  • Pairs: 11-121, 12-144, 13-169, 14-186.
  • Squares to recall: 11^2 = 121, 12^2 = 144, 13^2 = 169, 14^2 = 196.
  • Check consistency of each pair against the rule b = a^2.


Concept / Approach:
Compute squares for 11 through 14 and directly compare with the second number in each pair. Any mismatch signals the exception. Keeping a mental table of squares 1 through 25 makes these problems trivial.



Step-by-Step Solution:

11-121 → 11^2 = 121 (fits).12-144 → 12^2 = 144 (fits).13-169 → 13^2 = 169 (fits).14-186 → 14^2 = 196 (does not match 186; fails).


Verification / Alternative check:
Perform multiplication to confirm: 14*14 = 196. Since the pair lists 186, it is incorrect. There is no square integer that equals 186, confirming it as the outlier.



Why Other Options Are Wrong:

11-121, 12-144, and 13-169 all adhere to the square rule and therefore are not exceptions.


Common Pitfalls:
Mistyping or misreading nine and six in 196 as 186 is a common transcription trap. Verifying by explicit multiplication avoids such slips.



Final Answer:
14-186

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