SATHEE: Quantitative Aptitude Ques 1638

Quantitative Aptitude Ques 1638

Question: Directions: In the following questions, two equations numbered I and II have been given. You have to solve both the equations and mark the correct answer. [SBI (PO) 2015]

I. $ 2x^{2}+23x+63=0 $ II. $ 4y^{2}+19y+21=0 $

Options:

A) lf $ x<y $

B) If $ x>y $

C) If $ x\ge y $

D) If $ x\le y $

E) If relationship between x and y cannot be established

Show Answer

Answer:

Correct Answer: A

Solution:

[a] I. $ 2x^{2}+23x+63=0 $

$ \Rightarrow $ $ 2x^{2}+14x+9x+63=0 $

$ \Rightarrow $ $ 2x,(x+7)+9,(x+7)=0 $

$ \Rightarrow $ $ (x+7)(2x+9)=0\Rightarrow x=-7,, $ $ -\frac{9}{2} $ II. $ 4y^{2}+19y+21=0 $

$ \Rightarrow $ $ 4y^{2}+12y+7y+21=0 $

$ \Rightarrow $ $ 4y,(y+3)+7,(y+3)=0 $

$ \Rightarrow $ $ (y+3)(4y+7)=0\Rightarrow y=-3,, $ $ -\frac{7}{4} $ Hence, $ y>x $

Quantitative Aptitude Ques 1637

Quantitative Aptitude Ques 1639

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