SATHEE: Quantitative Aptitude Ques 683

Quantitative Aptitude Ques 683

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. $ 12p^{2}-7p=-1 $
II. $ 6p^{2}-7q+2=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: A

Solution:

I. $ 12p^{2}-7p+1=0 $

$ \Rightarrow $ $ 12p^{2}-4p-3p+1=0 $

$ \Rightarrow $ $ 4p,(3p-1)-1,(3p-1)=0 $

$ \Rightarrow $ $ (4p-1)(3p-1) $
$ \Rightarrow $ $ p=\frac{1}{4}, $ $ \frac{1}{3} $ II. $ 6q^{2}-7q+2=0 $

$ \Rightarrow $ $ 6q^{2}-4q-3q+2=0 $

$ \Rightarrow $ $ 2q(3q-2)-1(3q-2)=0 $

$ \Rightarrow $ $ (2q-1)(3q-2)=0 $

$ \Rightarrow $ $ q=\frac{1}{2}, $ $ \frac{2}{3} $

$ \therefore $ $ p<q $

Quantitative Aptitude Ques 682

Quantitative Aptitude Ques 684

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