Which of the following statement(s) is/are TRUE for any binary search tree (BST) having $n$ distinct integers?

The height of any rooted tree is defined as the maximum number of edges in the path from the root node to any leaf node.

Suppose a Min-Heap $T$ stores 32 keys. The height of $T$ is ________ (Answer in integer)

Which one of the following sequences when stored in an array at locations $$A[1],....,A[10]$$ forms a max-heap?

Suppose a binary search tree with 1000 distinct elements is also a complete binary tree. The tree is stored using the array representation of binary heap trees. Assuming that the array indices start with 0, the 3^rd largest element of the tree is stored at index ___________.