Quantitative Aptitude Ques 516

Question: Directions: In the following questions two equations numbered I and II are given. You have to solve both the equations and give 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) $ x\le y $

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

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] $ x^{2}-72=x $

$ \Rightarrow $ $ x^{2}-x-72=0 $

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

$ \Rightarrow $ $ x,(x-9)+8,(x-9)=0 $

$ \Rightarrow $ $ (x-9),(x+8)=0 $

$ \Rightarrow $ $ x=9, $ $ -,8 $ II. $ y^{2}=64 $

$ \Rightarrow $ $ y=\sqrt{64}=\pm ,8 $

$ \therefore $ $ x\ge y $