CAT (QA) PYQs

The number of integers n that satisfy the inequalities $|n -60| < |n-100| <| n-20|$ is

If $x$ and $y$ are non-negative integers such that $x+9=z, y+1=z$ and $x+y<z+5$, then the maximum possible value of $2 x+y$ ?

All the values of x satisfying the inequality $\frac{1}{x+5} \leq \frac{1}{2 x-3}$ are