IPMAT Indore 2025 (MCQ) PYQs

The number of triangles with integer sides and with perimeter 15 is:

The number of acute angled triangles whose sides are three consecutive positive integers and whose perimeter is at most 100 is

Let $\triangle ABC$ be a triangle with $AB = AC$ and $D$ be a point on $BC$ such that $\angle BAD = 30^\circ$. If $E$ is a point on $AC$ such that $AD = AE$, then $\angle CDE$ equals