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Question

Which of these is not a perfect cube?


A

343

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B

1331

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C

512

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D

81

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Solution

The correct option is D

81


By prime factorization, we have

343=7×7×71331=11×11×11 512=8×8×8 81=3×3×3×3

For a number to be a perfect cube ,each of its factors must be repeated thrice.
343, 1331 and 512 are the perfect cubes of 7, 11 and 8 respectively, whereas 81 is not, as 3 is repeating 4 times which is not a triplet.

81 is not a perfect cube.


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