Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  A Binary Search Tree (BST) stores values in t... Start Learning for Free
A Binary Search Tree (BST) stores values in the range
 37 to 573. Consider the following sequence of keys.
I. 81, 537, 102, 439, 285, 376, 305
II. 52, 97, 121, 195, 242, 381, 472
III. 142, 248, 520, 386, 345, 270, 307
IV. 550, 149, 507, 395, 463, 402, 270
Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?
a)II and III only
b)I and III only
c)III and IV only
d)III only
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A Binary Search Tree (BST) stores values in the range37 to 573. Consid...
To determine which of the given sequences list nodes in the order in which we could have encountered them in the search for the key 273 in a Binary Search Tree (BST), we need to understand the properties of a BST and how the search process works.

Binary Search Tree (BST) Properties:
1. The left subtree of a node contains only nodes with keys lesser than the node's key.
2. The right subtree of a node contains only nodes with keys greater than the node's key.
3. Both the left and right subtrees must also be binary search trees.

Search Process in a BST:
1. Start at the root node.
2. If the key being searched is equal to the current node's key, the search is successful.
3. If the key being searched is less than the current node's key, move to the left child node.
4. If the key being searched is greater than the current node's key, move to the right child node.
5. Repeat steps 2-4 until either the key is found or a null child is encountered, indicating an unsuccessful search.

Analyzing the Given Sequences:
I. 81, 537, 102, 439, 285, 376, 305
II. 52, 97, 121, 195, 242, 381, 472
III. 142, 248, 520, 386, 345, 270, 307
IV. 550, 149, 507, 395, 463, 402, 270

In order for a sequence to list nodes in the order we could have encountered them in the search for the key 273, it must follow the BST search process. Let's analyze each sequence:

I. 81, 537, 102, 439, 285, 376, 305
- This sequence does not follow the BST search process. It jumps from 81 to 537 without exploring the left subtree of the root node.

II. 52, 97, 121, 195, 242, 381, 472
- This sequence follows the BST search process and could be encountered during the search for key 273. It explores the left subtree of the root node and reaches nodes in increasing order.

III. 142, 248, 520, 386, 345, 270, 307
- This sequence follows the BST search process and could be encountered during the search for key 273. It explores the right subtree of the root node and reaches nodes in decreasing order.

IV. 550, 149, 507, 395, 463, 402, 270
- This sequence does not follow the BST search process. It jumps from 550 to 149 without exploring the right subtree of the root node.

Based on the analysis, only sequences II and III list nodes in the order we could have encountered them in the search for the key 273 in a BST. Therefore, the correct answer is option 'D' - III only.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. Can you explain this answer?
Question Description
A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. 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 A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. 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 A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. 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 A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A Binary Search Tree (BST) stores values in the range37 to 573. Consider the following sequence of keys.I. 81, 537, 102, 439, 285, 376, 305II. 52, 97, 121, 195, 242, 381, 472III. 142, 248, 520, 386, 345, 270, 307IV. 550, 149, 507, 395, 463, 402, 270Q.Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?a)II and III onlyb)I and III onlyc)III and IV onlyd)III onlyCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev