Quantitative Aptitude Ques 2376

Question: Directions: In the given questions two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. [NICL (AO) 2014]

I. $ 2x^{2}+9x+7=0 $
II. $ 2y^{2}+9y+10=0 $

Options:

A) $ x\ge y $

B) $ x<y $

C) $ x>y $

D) $ x\le y $

E) relationship between x and y cannot be determined

Show Answer

Answer:

Correct Answer: E

Solution:

  • I. $ 2x^{2}+9x+7=0 $

$ \Rightarrow $ $ 2x^{2}+2x+7x+7=0 $

$ \Rightarrow $ $ 2x,(x+1)+7,(x+1)=0 $

$ \Rightarrow $ $ (x+1)(2x+7)=0\Rightarrow x=-1, $ $ -\frac{7}{2} $ II. $ 2y^{2}+9y+10=0 $

$ \Rightarrow $ $ 2y^{2}+5y+4y+10=0 $

$ \Rightarrow $ $ y,(2y+5)+2,(2y+5)=0 $

$ \Rightarrow $ $ (2y+5)(y+2)=0 $ $ y-\frac{5}{2}, $ $ -,2 $

$ \therefore $ Relationship between x and y can’t be determined.