Discrete Math Quiz: Tree Properties And Traversal
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Tree Properties And TraversalQuestion 1 of 1

A binary tree is constructed using the following rule: start with a root, then at each step, add two children to the leftmost node that currently has fewer than 2 children. After exactly 7 such addition steps, what is the maximum depth of any node in the resulting tree?

Depth 4 from construction pattern
Depth 5 through systematic building
Depth 6 via leftmost prioritization
Depth 3 from balanced development
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Discrete Math Quiz

Discrete Math Quiz: Tree Properties And Traversal

Practice Tree Properties And Traversal in Discrete Math with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Tree Properties And Traversal, giving you a quick way to practice the rules, question types, and explanations that matter most for Discrete Math.

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Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

A binary tree is constructed using the following rule: start with a root, then at each step, add two children to the leftmost node that currently has fewer than 2 children. After exactly 7 such addition steps, what is the maximum depth of any node in the resulting tree?

  1. Depth 4 from construction pattern
  2. Depth 5 through systematic building
  3. Depth 6 via leftmost prioritization
  4. Depth 3 from balanced development (correct answer)
Explanation: Starting with 1 node (root), each step adds 2 children to the leftmost incomplete node. Step 1: add children to root (3 nodes total). Step 2: add children to leftmost child of root (5 nodes). This process creates a breadth-first construction pattern. After 7 steps adding 14 nodes total, we have 15 nodes arranged in a nearly complete binary tree structure, giving maximum depth 3.