IPMAT Indore (SA) PYQs

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

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 number of real solutions of the equation $x^2 - 10|x| - 56 = 0$ is