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Which of the following is NOT a characteristic of a binary search tree (BST)?

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Question: Which of the following is NOT a characteristic of a binary search tree (BST)?

Options:

  1. Left subtree contains only nodes with values less than the parent node.
  2. Right subtree contains only nodes with values greater than the parent node.
  3. Both subtrees must be binary trees.
  4. All nodes must have two children.

Correct Answer: All nodes must have two children.

Solution: 

A binary search tree does not require all nodes to have two children; it can have zero, one, or two children.

Which of the following is NOT a characteristic of a binary search tree (BST)?

Practice Questions

Q1
Which of the following is NOT a characteristic of a binary search tree (BST)?
  1. Left subtree contains only nodes with values less than the parent node.
  2. Right subtree contains only nodes with values greater than the parent node.
  3. Both subtrees must be binary trees.
  4. All nodes must have two children.

Questions & Step-by-Step Solutions

Which of the following is NOT a characteristic of a binary search tree (BST)?
  • Step 1: Understand what a binary search tree (BST) is. A BST is a type of data structure that stores values in a way that makes searching for them efficient.
  • Step 2: Learn the main characteristics of a BST. In a BST, for any given node, all values in the left subtree are less than the node's value, and all values in the right subtree are greater.
  • Step 3: Recognize that a node in a BST can have zero, one, or two children. This means that not every node needs to have two children; it can have none or just one.
  • Step 4: Identify the question's focus. The question asks which option is NOT a characteristic of a BST.
  • Step 5: Conclude that the statement about nodes not needing to have two children is true and is a characteristic of a BST.
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