IPMAT Indore (SA) PYQs

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 area enclosed by the curve $2|x| + 3|y| = 6$ is

If $|x+1| + (y+2)^2 = 0$ and $ax - 3ay = 1$, then the value of $a$ is