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[Data Structure]
For the given Binary Tree, which traversal order will arrange
the elements in ascending order?
Binary Tree Structure:
4
/ \
2 7
/ \
5 8
\
9
For the given Binary Tree, which traversal order will arrange the elements in ascending order?
4
/ \
2 7
/ \
5 8
\
9
ID: #24952
Competency focused Practice Questions ISC Class XII Computer Science
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#24952Q ID
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Competency focused Practice Questions ISC Class XII Computer ScienceTopic
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Correct Answer: Option C
Explanation
[Data Structure]
For the given Binary Tree, which traversal order will arrange the elements in ascending order?
For the given Binary Tree, which traversal order will arrange the elements in ascending order?
Binary Tree Structure:
4
/ \
2 7
/ \
5 8
\
9
Correct Answer: (c) In order
Understanding Binary Tree Traversal:
Tree traversal means visiting all nodes of a tree in a specific order.
Main Types of Traversal:
| Traversal Type | Order |
|---|---|
| Preorder | Root → Left → Right |
| Inorder | Left → Root → Right |
| Postorder | Left → Right → Root |
Important Concept:
In a Binary Search Tree (BST), Inorder Traversal always produces elements in ascending order.
Applying Inorder Traversal:
Left → Root → Right
Step-by-Step Traversal:
- Visit left subtree of 4 → 2
- Visit root → 4
- Visit left subtree of 7 → 5
- Visit root → 7
- Visit right subtree → 8 → 9
Final Inorder Sequence:
2 → 4 → 5 → 7 → 8 → 9
This sequence is in ascending order.
Why Other Options are Incorrect?
| Traversal | Result | Ascending? |
|---|---|---|
| Preorder | 4 → 2 → 7 → 5 → 8 → 9 | No |
| Postorder | 2 → 5 → 9 → 8 → 7 → 4 | No |
| Postfix order | Not a standard tree traversal term | No |
Conclusion:
Since Inorder Traversal arranges BST elements in ascending order, the correct answer is:
(c) In order
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