IIM-K (BMSAT) 2025 (QA) PYQs

If $x ∈ (a, b)$ satisfies the inequality $\dfrac{x - 3}{x^2 + 3x + 2} \geq 1$, then the largest possible value of $b - a$ is

The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% is

The set of values of $x$ which satisfy the inequality $0.7^{(2x^2 - 3x + 4)} < 0.343$ is