Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Postorder traversal of a given binary search ... Start Learning for Free
Postorder traversal of a given binary search tree, T produces the following sequence of keys
10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29
Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)
  • a)
    9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95
  • b)
    9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29
  • c)
    29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95
  • d)
    95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Postorder traversal of a given binary search tree, T produces the foll...
Understanding Postorder Traversal
The given postorder traversal sequence of the binary search tree (BST) is:
10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29.
In postorder traversal, the nodes are visited in the order of left subtree, right subtree, and then the root node.
Identifying the Root and Subtrees
- The last element in the postorder sequence is the root of the tree.
- Here, the root is 29.
- All elements before 29 belong to the left or right subtrees.
Building the Subtrees
- Elements less than 29 form the left subtree:
10, 9, 23, 22, 27, 25, 15.
- Elements greater than 29 form the right subtree:
50, 95, 60, 40.
In-Order Traversal Characteristics
- In-order traversal of a BST visits nodes in ascending order.
- Therefore, the left subtree is traversed first, followed by the root, and then the right subtree.
Evaluating the Options
- For option (a):
9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95
- This sequence is sorted in ascending order and valid for in-order traversal.
- For other options:
b) 9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29 (not sorted)
c) 29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95 (not sorted)
d) 95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29 (not sorted)
Conclusion
The only sequence that maintains the properties of an in-order traversal for the given BST is option (a). Therefore, the correct answer is option 'A'.
Free Test
Community Answer
Postorder traversal of a given binary search tree, T produces the foll...
Inorder traversal of a BST always gives elements in increasing order. Among all four options, a) is the only increasing order sequence.
Explore Courses for Computer Science Engineering (CSE) exam
Question Description
Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer?.
Solutions for Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Postorder traversal of a given binary search tree, T produces the following sequence of keys10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which one of the following sequences of keys can be the result of an in-order traversal of the tree T? (GATE CS 2005)a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev