CAT (QA) PYQs

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

$f(x) = \frac{x^2+2x-15}{x^2-7x-18}$ is negative if and only if

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?