SSC CGL 2024 PYQ — Question 55

The correct answer is Option 3 i.e. $48\over7$.

Given: $7x^2-9x+7\over x^2-x+1$

dividing numerator and denominator by x

⇒ ${7x-9+{7\over x}}\over {x-1+{1\over x}}$

⇒ ${7x+{7\over x}-9}\over {x+{1\over x}-1}$

⇒​​​​​​​ ${7({x+{1\over x}})-9}\over {x+{1\over x}-1}$

On putting the value of $x+{1\over x}=15$

⇒​​​​​​​ ${7\times15-9}\over {15-1}$

⇒​​​​​​​ ${105-9}\over {15-1}$

⇒​​​​​​​ $96\over 14$ = $48\over 7$