IPMAT Indore (SA) PYQs

The number of pairs $(x, y)$ of integers satisfying the inequality $|x - 5| + |y - 5| \leq 6$ is:

The minimum value of $f(x)=|3-x|+|2+x|+|5-x|$ is equal to __________.

If $a, b, c$ are three distinct natural numbers, all less than $100$, such that $|a - b| + |b - c| = |c - a|$, then the maximum possible value of $b$ is ______