Quantitative Aptitude Ques 1707

Question: If the square root of x is the cube root of y, then the relation between x and y is

Options:

A) $ x^{3}=y^{2} $

B) $ x^{2}=y^{3} $

C) $ x=y $

D) $ x^{6}=y^{5} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given, $ \sqrt{x}=\sqrt[3]{y} $
    $ \Rightarrow $ $ {x^{\frac{1}{2}}}={y^{\frac{1}{3}}} $ On taking power of 6 both sides, $ {{({x^{\frac{1}{2}}})}^{6}}={{({y^{\frac{1}{3}}})}^{6}}\Rightarrow x^{3}=y^{2} $
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