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Find the odd one out: 27, 64, 125, 215
27
64
125
215
215
Identify the set as a series of cubes. Check if numbers follow the n cubed pattern (n³); if one does not, it is the odd one out.
Identify the set as a series of cubes. Check if numbers follow the n cubed pattern (n³); if one does not, it is the odd one out.
Analyze the pattern
Evaluate the given numbers to check if they are perfect cubes: 27 is 3 cubed (333), 64 is 4 cubed (444), 125 is 5 cubed (555), and 215 is not a perfect cube.
Identify the odd number
Since 27, 64, and 125 are perfect cubes of consecutive integers 3, 4, and 5 respectively, they belong to the same category. 215 does not fit this rule as 6 cubed is 216.
A: 27 is a perfect cube (3³), B: 64 is a perfect cube (4³), C: 125 is a perfect cube (5³).
D is correct because 27, 64, and 125 are perfect cubes of integers, whereas 215 is not a perfect cube.
For number classification questions, always check for prime numbers, squares, and cubes first as these are the most common patterns in competitive exams.
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