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Choose the odd one out from the following: (12, 144), (13, 169), (14, 198), (15, 225)
(12, 144)
(13, 169)
(14, 198)
(15, 225)
(14, 198)
Quick Trick: Identify the relationship: The second number in each pair is the square of the first number (n, n squared).
Identify the relationship: The second number in each pair is the square of the first number (n, n squared).
Analyze the number relationship
Examine the pattern for each pair: (12, 144) is 12 squared = 144; (13, 169) is 13 squared = 169; (14, 198) is 14 squared = 196 (not 198); (15, 225) is 15 squared = 225.
Identify the outlier
Pairs A, B, and D follow the rule n: n squared. Pair C fails this rule because 14 squared is 196, whereas the given value is 198.
A: 12 squared equals 144, which follows the pattern. B: 13 squared equals 169, which follows the pattern. D: 15 squared equals 225, which follows the pattern.
C is correct because the second number in the pair (14, 198) should be 196 (14 squared) instead of 198 to maintain consistency with the other options.
For number-based odd-one-out questions, always test for squares, cubes, and prime numbers first as these are the most common underlying patterns in competitive exams.