SSC CGL 2023 PYQ — Question 58

The correct answer is Option 4 i.e. $\frac{43}{9}$.

⇒$\left ( 3y-\frac{3}{y} \right )=5,$

⇒ $3( y-\frac{1}{y} ) = 5$

⇒ $( y-\frac{1}{y} ) = {5\over3}$

Squaring both sides

⇒ $( y-\frac{1}{y})^2 = ({5\over3})^2$

⇒ ${( y^2 + {1\over y^2} - {2\times y\times{1\over y}}}) = {25\over9}$

⇒ ${( y^2 + {1\over y^2} - {2}}) = {25\over9}$

⇒ ${( y^2 + {1\over y^2} }) = {25\over9} +2$

⇒ ${( y^2 + {1\over y^2} }) = {{25 + 18}\over9 }$

⇒ ${( y^2 + {1\over y^2} }) = {{43}\over9 }$