Equations And Inequations Ques 142

I. $\frac{15}{\sqrt{X}}-\frac{9}{\sqrt{X}}=(X)^{\frac{1}{2}}$

II. $y^{10}-(36)^{5}=0$

Directions : In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer If

(1) $\quad x>y$

(2) $\quad x \geq y$

(3) $x<y$

(4) $\quad x \leq y$

(5) $\quad x=y$ or the relationship cannot be established

(IDBI Bank Officer Exam.16.09.2012)

Show Answer

Correct Answer: (5)

Solution: (5) I. $\frac{15}{\sqrt{x}}-\frac{9}{\sqrt{x}}=\sqrt{x}$

$\Rightarrow \frac{6}{\sqrt{x}}=\sqrt{x} \Rightarrow x=6$

II. $y^{10}=(36)^{5}=\left(6^{2}\right)^{5}=6^{10}$

$\Rightarrow y=6$