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In a min-heap, which of the following statements is true?

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Question: In a min-heap, which of the following statements is true?

Options:

  1. The parent node is always greater than its children
  2. The parent node is always less than its children
  3. All nodes are in sorted order
  4. The smallest element is at the bottom

Correct Answer: The parent node is always less than its children

Solution: 

In a min-heap, the parent node is always less than or equal to its children, ensuring that the smallest element is at the root.

In a min-heap, which of the following statements is true?

Practice Questions

Q1
In a min-heap, which of the following statements is true?
  1. The parent node is always greater than its children
  2. The parent node is always less than its children
  3. All nodes are in sorted order
  4. The smallest element is at the bottom

Questions & Step-by-Step Solutions

In a min-heap, which of the following statements is true?
  • Step 1: Understand what a min-heap is. A min-heap is a special type of binary tree where the parent node is always less than or equal to its children.
  • Step 2: Recognize that in a min-heap, the smallest element is always at the top, or root, of the tree.
  • Step 3: Remember that this property applies to every parent-child relationship in the min-heap.
  • Min-Heap Properties – In a min-heap, each parent node is less than or equal to its child nodes, which guarantees that the smallest element is always at the root.
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