Is 6000 a perfect cube? If not, then by which smallest natural number should 6000 be divided so that the quotient is a perfect cube?
A
5
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B
6
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C
8
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D
60
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Solution
The correct option is B 6 6000 = 2×2×2×5×5×5×6 Hence, the factor 6 does not appear in the group of three So, if we divide the number by 6, then the quotient will be perfect cube. 60006=1000 which is a perfect cube.