Quantitative Aptitude Ques 881

Question: Directions: In the following questions two equations numbered I and II are given. You have to solve both the equation and given answer. [Bank of Baroda (PO) 2011]

I. $ \sqrt{1225}x+\sqrt{4900}=0 $ II. $ {{(81)}^{\frac{1}{4}}}y+{{(343)}^{\frac{1}{3}}}=0 $

Options:

A) If $ x>y $

B) If $ x\ge y $

C) If $ x<y $

D) If $ x\le y $

E) If $ x=y $ or the relationship cannot be established

Show Answer

Answer:

Correct Answer: A

Solution:

  • I. $ \sqrt{1225}x+\sqrt{4900}=0 $

$ \Rightarrow $ $ 35x+70=0 $

$ \Rightarrow $ $ x=-2 $ II. $ {{(81)}^{\frac{1}{4}}}y+{{(343)}^{\frac{1}{3}}}=0 $

$ \Rightarrow $ $ {{(3^{4})}^{\frac{1}{4}}}y+{{(7^{3})}^{\frac{1}{3}}}=0 $

$ \Rightarrow $ $ 3y+7=0 $

$ \Rightarrow $ $ y=-\frac{7}{3} $

$ \therefore $ $ x>y $