IPMAT Indore 2019 (MCQ) PYQs

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

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 ______

The sum of the squares of all the roots of the equation $x^{2}+|x+4|+|x-4|-35=0$ is