Which of the following statements about the following binary tree is FALSE?…

Concept

A binary tree limits each node to at most two children. A binary search tree adds an ordering rule: every key in a left subtree is smaller than its ancestor key, and every key in a right subtree is larger. A complete binary tree fills every level before the last and places last-level nodes from left to right without gaps.

Application

1. Read the root and its first child pair: A is the root and B is its left child.

2. Apply BST ordering to that pair: a left child must be smaller than its parent, whereas B follows A alphabetically. Therefore the BST ordering rule is violated.

3. Check completeness: levels containing A; B, C; and D, E, F, G are full, while H, I, J, K, L occupy the leftmost positions of the last level.

4. Check the relations: J and K share the immediate parent E, and B lies on the path A → B → E → J.

Cross-check and contrast

• “It is a binary search tree” conflicts with the ordering rule at A and B.

• “It is a complete binary tree” agrees with the level-by-level left-filled layout.

• “J and K are siblings” agrees with their shared parent E.

• “B is an ancestor of J” agrees with the root-to-J path.

Result: the false statement is “It is a binary search tree.”