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.