Quantitative Aptitude Ques 28

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

I. $ {{(x+y)}^{2}}=784 $
II. $ 92551=92567-y $

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. $ {{(x+y)}^{2}}=784 $

$ \Rightarrow $ $ x+y=\sqrt{784}=28 $

$ \Rightarrow $ $ x+16=28 $
$ \Rightarrow $ $ x=12 $ II. $ 92551=92567-y $

$ \Rightarrow $ $ y=92551-92551\Rightarrow y=16 $

$ \therefore $ $ x<y $