Equations And Inequations Ques 118

I. $x^{3}-468=1729$

II. $y^{2}-1733+1564=0$

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: (2)

Solution: (2) I. $x^{3}=1729+468=2197$

$$ \therefore x=\sqrt[3]{2197}=13 $$

II. $y^{2}=1733-1564=169$

$$ \therefore y=\sqrt{169}= \pm 13 $$

Clearly, $x \geq y$