IBPS PO Quantitative Aptitude: Quadratic Equations and Cubes questions with solutions

Q1. In each question, two equations numbered (I) and (II) are given. Solve both equations and mark the appropriate answer. I. $x^2 - 15x + 56 = 0$ II. $y = \sqrt[3]{512}$

1. If x=y or no relation can be established
2. If x>y
3. If x<y
4. If x>=y

Answer: If x>y

Equation I factors as $(x-7)(x-8)=0$, so $x$ can be 7 or 8. Equation II gives $y=\sqrt[3]{512}=8$. Since one value of $x$ is equal to $y$ and the other is less than or equal to $y$, the intended comparison from the given options is not consistent; however, based on the provided answer key, the marked option is 'If x>y'.