Quantitative Aptitude Ques 684

Question: Directions: In each of the following questions two equations are given. You have to solve them and give answer. [SBI Associate (PO) 2007]

I. $ p^{2}+12p+35=0 $
II. $ 2q^{2}+22q+56=0 $

Options:

A) If $ p<q $

B) If $ p>q $

C) If $ p\le q $

D) If $ p\ge q $

E) If $ p=q $

Show Answer

Answer:

Correct Answer: C

Solution:

  • I. $ p^{2}+12p+35=0 $

$ \Rightarrow $ $ p^{2}+7p+5p+35=0 $

$ \Rightarrow $ $ p(p+7)+5(p+7)=0 $

$ \Rightarrow $ $ (p+7)(p+5)=0 $

$ \Rightarrow $ $ p=-,5, $ $ -7 $ II. $ 2q^{2}+22q+56=0 $

$ \Rightarrow $ $ q^{2}+11q+28=0 $

$ \Rightarrow $ $ q^{2}+7q+4q+28=0 $

$ \Rightarrow $ $ q(q+7)+4(q+7)=0 $

$ \Rightarrow $ $ q=-,4, $ $ -7 $

$ \therefore $ $ p\le q $

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