Quantitative Aptitude Ques 1838

Question: Directions: In each of the following questions two equations are given. Solve these equations and give answer. [IBPS (SO) 2013]

I. $ 6x^{2}+77x+121=0 $ II. $ y^{2}+9y-22=0 $

Options:

A) If $ x<y $

B) If $ x>y $

C) If $ x=y $

D) If $ x\ge y $

E) If $ x\le y $

Show Answer

Answer:

Correct Answer: E

Solution:

  • I. $ 6x^{2}+77x+121=0 $

$ \Rightarrow $ $ 6x^{2}+66x+11x+121=0 $

$ \Rightarrow $ $ 6x(x+11)+11(x+11)=0 $

$ \Rightarrow $ $ (6x+11)(x+11)=0 $

$ \therefore $ $ x=-11, $ $ -\frac{11}{6} $ II. $ y^{2}+9y-22=0 $

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

$ \Rightarrow $ $ y(y+11)-2(y+11)=0 $
$ \Rightarrow $ $ (y-2)(y+11)=0 $

$ \therefore $ $ y=2, $ $ -11 $ Hence, $ x\le y $

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