SATHEE: Quantitative Aptitude Ques 932

Quantitative Aptitude Ques 932

Question: Directions: In the following questions, two equations I and II are given. You have to solve both the equation and give answer.

I. $ \frac{13}{\sqrt{x}}+\frac{9}{\sqrt{x}}=\sqrt{x} $ II. $ y^{4}-\frac{{{(13\times 2)}^{9/2}}}{\sqrt{y}}=0 $

Options:

A) If $ x>y $

B) If $ x\ge y $

C) If $ x<y $

D) If $ x\le y $

E) If $ x=y $ or the relationship cannot be established

Show Answer

Answer:

Correct Answer: C

Solution:

I. $ \frac{13}{\sqrt{x}}+\frac{9}{\sqrt{x}}=\sqrt{x} $

$ \Rightarrow $ $ 22=(\sqrt{x})(\sqrt{x}) $

$ \Rightarrow $ $ x=22 $ II. $ y^{4}-\frac{{{(13\times 2)}^{9/2}}}{\sqrt{y}}=0 $

$ \Rightarrow $ $ {y^{4+\frac{1}{2}}}={{(26)}^{9/2}} $

$ \Rightarrow $ $ {y^{9/2}}={{(26)}^{9/2}} $
$ \Rightarrow $ $ y=26 $

$ \therefore $ $ y>x $

Quantitative Aptitude Ques 931

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