The least possible value of A for which 90 times A is a perfect cube is ........

Quantitative Aptitude ( CCS) Number System

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The least possible value of A for which 90×A is a perfect cube is

200

300

500

600

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Explanation:

Write the factors of 90 = 2 x 3 x 3 x 5
Now make triplet of each factor.
We need two 2’s, one 3 and two 5’s for this.
Value of A will be = 2 x 2 x 3 x 5 x 5 = 300
Multiply A with given factors to find perfect cube = 2 x 3 x 3 x 5 x 300 = 27000
To find least perfect square make pairs of each factor and to find least perfect cube make triplets of each factor.