Quantitative Aptitude Ques 2206

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

I. $ x^{2}-72=x $
II. $ y^{2}=64 $

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: B

Solution:

  • I. $ x^{2}-x-72=0 $

$ \Rightarrow $ $ x^{2}-9x+8x-72=0 $
$ \Rightarrow $ $ x(x-9)+8(x-9=0 $

$ \Rightarrow $ $ (x+8)(x-9)=0 $
$ \Rightarrow $ $ x=9, $ $ -8 $ II. $ y^{2}=64 $
$ \Rightarrow $ $ y=\sqrt{64} $

$ \therefore $ $ y=\pm 8 $ Hence, $ x\ge y $