SSC CGL 2022 PYQ — Question 69

The correct answer is Option 4. i.e. $-{{7} \over y^2}$

Given:

$x+{{y^2} \over x}=5$    ....(i)

Explanation:

According to the given question, ${{x^2+2x+y^2} \over x^3-5x^2 }$

Taking x common from the numerator and denominator, we get

⇒ ${{x+2+{y^2 \over x}} \over x^2-5x }$  

Using equation (i), we get

⇒ ${5 + 2} \over (-y^2)$  = $- 7 \over y^2$

Hence the required value is $- 7 \over y^2$.