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In a max-heap, which of the following is true about the root node?

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Question: In a max-heap, which of the following is true about the root node?

Options:

  1. It is the smallest element
  2. It is the largest element
  3. It can be any element
  4. It is the second largest element

Correct Answer: It is the largest element

Solution: 

In a max-heap, the root node is always the largest element, as the heap property ensures that each parent node is greater than or equal to its children.

In a max-heap, which of the following is true about the root node?

Practice Questions

Q1
In a max-heap, which of the following is true about the root node?
  1. It is the smallest element
  2. It is the largest element
  3. It can be any element
  4. It is the second largest element

Questions & Step-by-Step Solutions

In a max-heap, which of the following is true about the root node?
  • Step 1: Understand what a max-heap is. A max-heap is a special type of binary tree where each parent node is greater than or equal to its child nodes.
  • Step 2: Identify the root node. The root node is the topmost node in the max-heap.
  • Step 3: Apply the max-heap property. Since the root node is a parent node, it must be greater than or equal to its children.
  • Step 4: Conclude that the root node is the largest element in the max-heap because it is greater than or equal to all other nodes.
  • Max-Heap Property – In a max-heap, the value of each parent node is greater than or equal to the values of its children, ensuring that the largest element is always at the root.
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