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Select the option that does NOT belong to the same category as the others:
125, 216, 343, 521
125
216
343
521
521
Identify if the numbers are perfect cubes. All options except one will follow the same mathematical power property.
Identify if the numbers are perfect cubes. All options except one will follow the same mathematical power property.
Analyze the properties of the given numbers
Calculate the cube roots of the given numbers: 125 = 5 cubed, 216 = 6 cubed, 343 = 7 cubed, and 521 is not a perfect cube.
Categorize the numbers
125, 216, and 343 form a group of perfect cubes (5┬│, 6┬│, 7┬│ respectively), whereas 521 does not satisfy this condition.
A: 125 is 5 cubed (valid cube); B: 216 is 6 cubed (valid cube); C: 343 is 7 cubed (valid cube).
D is correct because 125, 216, and 343 are all perfect cubes, while 521 is not a perfect cube.
In number classification questions, always check for powers (squares/cubes), prime numbers, and divisibility rules first as they cover 80% of exam patterns.
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