Q. Check whether 24x3y2 is a perfect cube or not. If not, find the smallest number by which it should be divided to make it a perfect cube. Also, find the cube root of the perfect cube number so obtained.
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The smallest number with which 1188 should be divided to get a perfect cube is
Question
A
44
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B
54
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C
24
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Solution
The correct option is A 44
By prime factorisation,
311883396313224422211
1188=3×3×3×2×2×11
=33×22×11
=33×44
If we divide the given number by 44, the
resultant will be a perfect cube.
118844 = 27 =
33
Suggest Corrections
14
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