Equations And Inequations Ques 94
I. $\left(x^{\frac{7}{5}} \div 9\right)=169 \div x^{\frac{3}{5}}$
II. $y^{\frac{1}{4}} \times y^{\frac{1}{4}} \times 7=273 \div y^{\frac{1}{2}}$
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: (4)
Solution: (4) I. $\frac{x^{7 / 5}}{9}=\frac{169}{x^{3 / 5}}$
$\Rightarrow x^{7 / 5} \times x^{3 / 5}=9 \times 169$
$\Rightarrow x^{\frac{7}{5}+\frac{3}{5}}=9 \times 169$
$\Rightarrow x^{2}=9 \times 169$
$\Rightarrow x= \pm(3 \times 13)= \pm 39$
II. $y^{\frac{1}{4}} \times y^{\frac{1}{4}} \times 7=\frac{273}{y^{\frac{1}{2}}}$
$\Rightarrow y^{\frac{1}{4}+\frac{1}{4}+\frac{1}{2}}=\frac{273}{7}$
$\Rightarrow y=39$
Clearly, $x \leq y$
BETA
