Quantitative Aptitude Ques 583

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

I. $ 3x^{2}-17x+22=0 $ II. $ 5y^{2}-21y+22=0 $

Options:

A) If $ x\ge y $

B) If $ x\le y $

C) If $ x>y $

D) If $ x<y $

E) If relationship between x and y cannot be established

Show Answer

Answer:

Correct Answer: A

Solution:

  • I. $ 3x^{2}-17x+22=0 $

$ \Rightarrow $ $ 3x^{2}-6x-11x+22=0 $

$ \Rightarrow $ $ 3x,(x-2)-11,(x-2)=0 $

$ \Rightarrow $ $ x=\frac{11}{3}, $ 2 II. $ 5y^{2}-21y+22=0 $

$ \Rightarrow $ $ 5y^{2}-10y-11y+22=0 $

$ \Rightarrow $ $ 5y,(y-2)-11,(y-2)=0 $

$ \Rightarrow $ $ y=\frac{11}{5}, $ 2

$ \therefore $ $ x\ge y $