IPMAT Indore 2025 (SA) PYQs

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

The area enclosed by $2|x|+3|y| \leq 6$ is ____________ sq. units.

Given that $f(x)=|x|+2|x-1|+|x-2|+|x-4|+|x-6|+2|x-10|, x \in(-\infty, \infty)$ the minimum value of $f(x)$ is _________.