SATHEE: Quantitative Aptitude Ques 2293

Quantitative Aptitude Ques 2293

Question: Directions: In the given question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer.

I. $ 2x^{2}-25x+77=0 $ II. $ 2y^{2}-23y+56=0 $

Options:

A) If $ x\ge y $

B) If $ x<y $

C) If $ x>y $

D) If $ x\le y $

E) relationship between x and y cannot be determined

Show Answer

Answer:

Correct Answer: E

Solution:

I. $ 2x^{2}-25x+77=0 $

$ \Rightarrow $ $ 2x^{2}-14x-11x+77=0 $

$ \Rightarrow $ $ 2x,(x-7)-11,(x-7)=0 $

$ \Rightarrow $ $ (x-7)(2x-11)=0\Rightarrow x=7, $ $ \frac{11}{2} $ II. $ 2y^{2}-23y+56=0 $

$ \Rightarrow $ $ 2y^{2}-16y-7y+56=0 $

$ \Rightarrow $ $ 2y,(y-8)-7,(y-8)=0 $

$ \Rightarrow $ $ (y-8)(2y-7)=0\Rightarrow y=8, $ $ \frac{7}{2} $ Hence, relationship between x and y cannot be determined.

Quantitative Aptitude Ques 2292

Quantitative Aptitude Ques 2294

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