Quantitative Aptitude Ques 144

Question: The least possible value of A for which $ 90\times A $ is a perfect cube, is

Options:

A) 200

B) 300

C) 500

D) 600

Show Answer

Answer:

Correct Answer: B

Solution:

  • Given number $ =90\times A $ On factorising $ =90\times A, $ we have $ 3\times 3\times 2\times 5\times A=3^{2}\times 2\times 5\times A $ The least value of A for which the given number is a perfect cube $ =3\times 2^{2}\times 5^{2} $ $ =3\times 4\times 25=300 $

$ \therefore $ Least possible value of A = 300

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