CAT (QA) PYQs

The number of distinct pairs of integers $(m, n)$ satisfying $|1 + mn| < |m + n| < 5$ is

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

How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits?