Equations And Inequations Ques 140
I. $\frac{12}{\sqrt{x}}-\frac{23}{\sqrt{x}}=5 \sqrt{x}$
II. $\frac{\sqrt{y}}{12}-\frac{5 \sqrt{y}}{12}=\frac{1}{y}$
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: (1)
Solution: (1) I. $12-23=5 \sqrt{x} \times \sqrt{x}$
$\Rightarrow-11=5 x \Rightarrow x=\frac{-11}{5}$
II. $\frac{\sqrt{y}-5 \sqrt{y}}{12}=\frac{1}{\sqrt{y}}$
$\Rightarrow-4 \sqrt{y} \times \sqrt{y}=-4y=12$
$\Rightarrow-4 y=12 \Rightarrow y=-3$
Clearly, $x>y$
BETA
