SATHEE: Quantitative Aptitude Ques 29

Quantitative Aptitude Ques 29

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. $ 6x^{2}+13x+5=0 $
II. $ 9y^{2}+22y+8=0 $

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: E

Solution:

I. $ 6x^{2}+13x+5=0 $

$ \Rightarrow $ $ 6x^{2}+3x+10x+5=0 $

$ \Rightarrow $ $ 3x,(2x+1)+5,(2x+1)=0 $

$ \Rightarrow $ $ (3x+5)(2x+1)=0 $ $ x=\frac{-1}{2}, $ $ \frac{-5}{3} $ II. $ 9y^{2}+22y+8=0 $

$ \Rightarrow $ $ 9y^{2}+18y+4y+8=0 $

$ \Rightarrow $ $ 9y,(y+2)+4,(y+2)=0 $

$ \Rightarrow $ $ (9y+4)(y+2)=0 $
$ \Rightarrow $ $ y=-2, $ $ \frac{-4}{9} $

$ \therefore $ Relation cannot be determined.

Quantitative Aptitude Ques 28

Quantitative Aptitude Ques 30

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