Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Statement 1: When a node is split during inse...
Start Learning for Free
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.
Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.
Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.
- a)Statement 1 is true but statement 2 is false
- b)Statement 2 is true but statement 1 is false
- c)Both the statements are true
- d)Both the statements are false
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Statement 1: When a node is split during insertion, the middle key is ...
During the split, the middle key is retained in the right half node and also promoted to parent node. When a key is deleted from the leaf, it is retained in non-leaves, because it can be still a valid separator between keys in nodes below.
Free Test
FREE
| Start Free Test |
Community Answer
Statement 1: When a node is split during insertion, the middle key is ...
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in the right half-node.
Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.
Explanation:
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in the right half-node.
When a B-tree is full and a new key needs to be inserted, the node is split into two halves. The middle key is then promoted to the parent node. This process continues recursively until the root node is reached.
For example, let's say we have a B-tree with the following structure:
5
/ \
2,4 7,8
If we need to insert the key 6, we split the node containing 7,8 into two nodes:
5
/ \
2,4 7,8
\
6
In this case, the middle key 7 is promoted to the parent node, resulting in the following structure:
5,7
/ \
2,4 6,8
So, statement 1 is true.
Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.
When a key is deleted from a leaf node in a B-tree, it may create an imbalance in the tree. In order to maintain the B-tree properties, the key must also be deleted from the non-leaf nodes until the root node is reached.
For example, let's consider the same B-tree structure as before:
5,7
/ \
2,4 6,8
If we delete the key 6 from the leaf node, the tree becomes unbalanced:
5,7
/ \
2,4 8
In order to maintain the B-tree properties, the key 6 must also be deleted from the non-leaf node:
5
/ \
2,4 8
So, statement 2 is false.
Therefore, the correct answer is option A: Statement 1 is true but statement 2 is false.
Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.
Explanation:
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in the right half-node.
When a B-tree is full and a new key needs to be inserted, the node is split into two halves. The middle key is then promoted to the parent node. This process continues recursively until the root node is reached.
For example, let's say we have a B-tree with the following structure:
5
/ \
2,4 7,8
If we need to insert the key 6, we split the node containing 7,8 into two nodes:
5
/ \
2,4 7,8
\
6
In this case, the middle key 7 is promoted to the parent node, resulting in the following structure:
5,7
/ \
2,4 6,8
So, statement 1 is true.
Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.
When a key is deleted from a leaf node in a B-tree, it may create an imbalance in the tree. In order to maintain the B-tree properties, the key must also be deleted from the non-leaf nodes until the root node is reached.
For example, let's consider the same B-tree structure as before:
5,7
/ \
2,4 6,8
If we delete the key 6 from the leaf node, the tree becomes unbalanced:
5,7
/ \
2,4 8
In order to maintain the B-tree properties, the key 6 must also be deleted from the non-leaf node:
5
/ \
2,4 8
So, statement 2 is false.
Therefore, the correct answer is option A: Statement 1 is true but statement 2 is false.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer?
Question Description
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 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 Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer?.
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 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 Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect 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 Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Statement 1: When a node is split during insertion, the middle key is promoted to the parent as well as retained in right half-node.Statement 2: When a key is deleted from the leaf, it is also deleted from the non-leaf nodes of the tree.a)Statement 1 is true but statement 2 is falseb)Statement 2 is true but statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect 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
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup