Equations And Inequations Ques 155

I. $x^{3}=(\sqrt[3]{216})^{3}$

II. $6 y^{2}=150$

Directions : In each of the following questions equation I and equation II have been given. You have to solve both of these equations and give answer If

(1) $x<y$

(2) $x>y$

(3) $x \leq y$

(4) $x \geq y$

(5) $x=y$ or no relation between two can be established.

(Corporation Bank Specialist Officer (Marketing) Exam. 22.02.2014)

Show Answer

Correct Answer: (2)

Solution: (2) I. $x^{3}=(216)^{\frac{1}{3} \times 3}=216$

$\Rightarrow x=\sqrt[3]{216}=6$

II. $6 y^{2}=150$

$\Rightarrow y^{2}=\frac{150}{6}=25$

$\Rightarrow y=\sqrt{25}= \pm 5$

Clearly, $x>y$