Equations And Inequations Ques 126

I. $\frac{9}{\sqrt{x}}+\frac{19}{\sqrt{x}}=\sqrt{x}^3$

II. $y^{5}-\frac{(2 \times 14)^{11 / 2}}{\sqrt{y}}=0$

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) $x>y$

(2) $x \geq y$

(3) $x<y$

(4) $x \leq y$

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

(Indian Overseas Bank PO Exam. 22.05.2011)

Show Answer

Correct Answer: 5

Solution: (5) I. $9+19=\sqrt{x} \times \sqrt{x}$

$\Rightarrow x=28$

II. $y^{5} \times y^{\frac{1}{2}}=y^{\frac{11}{2}}$

$\Rightarrow y^{\frac{11}{2}}=(28)^{\frac{11}{2}}$

$\Rightarrow y=28$