Quantitative Aptitude Ques 930

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

I. $ {{(625)}^{1/4}}x+\sqrt{1225}=155 $ II. $ \sqrt{196}y+13=279 $

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: A

Solution:

  • I. $ {{(625)}^{1/4}}x+\sqrt{1225}=155 $

$ \Rightarrow $ $ {{[{{(5)}^{4}}]}^{1/4}}x+35=155 $

$ \Rightarrow $ $ 5x=155-35 $ $ 5x=120 $
$ \Rightarrow $ $ x=24 $ II. $ \sqrt{196}y+13=279 $

$ \Rightarrow $ $ 14y=279-13 $

$ \Rightarrow $ $ 14y=266 $
$ \Rightarrow $ $ y=19 $

$ \therefore $ $ x>y $