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Question

Which of the following numbers is not a perfect cube?

A
343
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B
1331
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C
729
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D
625
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Solution

The correct option is D 625
343=7×7×7
1331=11×11×11
729=9×9×9
625=5×5×5×5
For a number to be a perfect cube, each of its factors must be repeated thrice. 343, 1331 and 729 are the perfect cubes of 7, 11 and 9 respectively, whereas 625 is not, as 5 is repeating 4 times which is not a triplet. ​
625 is not a perfect cube.

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