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

Q1. In the given question, two equations numbered I and II are given. Solve both equations and mark the appropriate answer. I. \(x^2 - 11x = 0\) II. \(y^3 = 1728\)

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y

Answer: x < y

From I, \(x(x-11)=0\), so \(x=0\) or \(x=11\). From II, \(y=12\) because \(12^3=1728\). Since the relevant comparison is with the larger possible value of x, we get \(11<12\), so \(x<y\).

Q2. Solve both equations and mark the appropriate answer: I. 16 = 300x + 4800 II. y^2 + y - 272 = 0

1. x = y or relationship between x and y cannot be established
2. x < y
3. x b7 y
4. x d7 y

Answer: x = y or relationship between x and y cannot be established

From 16 = 300x + 4800, x is a fixed negative value. The quadratic equation gives two possible values of y, one positive and one negative. Since y is not unique, a definite comparison with x cannot be established.