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Which of the following is the odd one out: 121, 144, 169, 198?
121
144
169
198
198
Always check for perfect squares first in a set of three-digit numbers; usually, three options will follow a square pattern while one will not.
Always check for perfect squares first in a set of three-digit numbers; usually, three options will follow a square pattern while one will not.
Analyze the number properties
Examine the numbers 121, 144, 169, and 198 to identify mathematical relationships such as prime factors or powers.
Categorize the numbers
Observe that 121 is 11 squared, 144 is 12 squared, and 169 is 13 squared. The number 198 is not a perfect square.
A: 121 is a perfect square (11²), B: 144 is a perfect square (12²), C: 169 is a perfect square (13²).
D is correct because it is the only number in the set that is not a perfect square, whereas the others are squares of consecutive integers 11, 12, and 13.
When dealing with number classification questions, first check for square, cube, and prime number properties before looking for arithmetic operations.