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Question

What is the smallest number with which 1188 should be divided to get a perfect cube?

A
54
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B
24
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C
27
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D
44
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Solution

The correct option is C 27

311883396313224422211

Prime factor of 1188 = 3 × 3 × 3 × 2 × 2 ×11

For perfect cube number the factors should be forming the triplet. Here 3 is forming the triplet but 2 and 11 does not.

That implies if we divide the given number by 44, the resultant will be perfect cube.
118844 = 27 = 33


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