Equations And Inequations Ques 72
I. $\frac{(2)^{5}+(11)^{3}}{6}=x^{3}$
II. $4 y^{3}=-(589 \div 4)+5 y^{3}$
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) $\quad x \geq y$
(3) $x<y$
(4) $x \leq y$
(5) $x=y$ or the relationship cannot be established
(Bank Of Baroda PO Exam.13.03.2011)
Show Answer
Correct Answer: (1)
Solution: (1) I.
$$ x^{3}=\frac{32+1331}{6}=\frac{1363}{6} \approx 227.17 $$
II. $4 y^{3}-5 y^{3}=-\frac{589}{4}y^{3}$
$\Rightarrow y^{3}=\frac{589}{4} \approx 147$
Clearly, $x>y$