Equations And Inequations Ques 75
I. $x^{2}=64$
II. $y^{2}-15 y+56=0$
Directions : In each of the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer
(1) if $x \geq y$
(2) if $x \leq y$
(3) if $x>y$
(4) if $x<y$
(5) if relationship between $x$ and $y$ cannot be established
(IBPS SO (Agriculture) Exam, 29.01.2017)
Show Answer
Correct Answer: 75.(5)
Solution: (5) I. $x^{2}=64$
$\Rightarrow x=\sqrt{64}= 8$
II. $y^{2}-15 y+56=0$
$\Rightarrow y^{2}-8 y-7 y+56=0$
$\Rightarrow y(y-8)-7(y-8)=0$
$\Rightarrow(y-8)(y-7)=0$
$\Rightarrow y=8$ or $7$
Clearly, $x \leq y$
BETA
