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Trees Questions

Home > Technical Aptitude > Data Structures > Trees > General Questions
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Elements in a tree can be indexed by its position under the ordering of the keys and the ordinal position of an element can be determined, both with good efficiency.


ATRUE

BFALSE

Answer: Option A

Explanation:

In a weight balanced tree we can even store the key information so as to use as a key value pair.

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What is the maximum height of an AVL tree with p nodes?


Ap

Blog(p)

Clog(p)/2

Dp/2

Answer: Option B

Explanation:

Consider height of tree to be 'he', then number of nodes which totals to p can be written in terms of height as N(he)=N(he-1)+1+N(he-2). since N(he) which is p can be written in terms of height as the beside recurrence relation which on solving gives N(he)= O(logp) as worst case height.

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Which of the following is not a random tree?


ATreap

BRandom Binary Tree

CUniform Spanning Tree

DAVL Tree

Answer: Option D

Explanation:

Treap, also known as random binary search tree, Random binary tree and Uniform spanning tree are all random tree. Random tree is a tree formed by a random process of addition and deletion of nodes. AVL tree is a self – balanced binary search tree.

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49
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8
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Is Top tree used for maintaining Dynamic set of trees called forest.


ATRUE

BFALSE

Answer: Option A

Explanation:

Top tree data structure is used to maintain a dynamic forest using link or cut operations. Top tree is a type of data structure which is based on unrooted dynamic binary tree and is used to solve path related problems.

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The average depth of a binary tree is given as?


AO(N)

BO(√N)

CO(N2)

DO(log N)

Answer: Option D

Explanation:

The average depth of a binary tree is given as O(√N). In case of a binary search tree, it is O(log N).

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The pre-order and in-order are traversals of a binary tree are T M L N P O Q and L M N T O P Q. Which of following is post-order traversal of the tree?


AL N M O Q P T

BN M O P O L T

CL M N O P Q T

DO P L M N Q T

Answer: Option A

Explanation:

The tree generated by using given pre-order and in-order traversal is
Thus, L N M O Q P T will be the post-order traversal.

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What are different ways of implementing free lists and which is simple among them?


Abest fit, first fit, worst fit, simple-first fit

Bbest fit, first fit, worst fit, simple-best fit

Cbest fit, first fit, worst fit, simple-worst fit

Dbest fit simple-best fit

Answer: Option A

Explanation:

The‭ ‬simplest form of memory management system can be called as first-fit.‭ ‬a device or system maintains a single‭ ‬list of free memory locations.‭ ‬When request to memory is sent,‭ ‬the list is searched and the first block that is large enough is returned.

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A binary tree is balanced if the difference between left and right subtree of every node is not more than ____


A1

B3

C2

Answer: Option A

Explanation:

Here is no explanation for this answer

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Which of the following is the simplest data structure that supports range searching?


AHeaps

Bbinary search trees

CAA-trees

DK-d trees

Answer: Option D

Explanation:

K-d trees are the simplest data structure that supports range searching and also it achieves the respectable running time.

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A node of the weight balanced tree has


Akey, left and right pointers, size

Bkey, value

Ckey, size

Dkey

Answer: Option A

Explanation:

As a weight balanced tree stores height of the subtrees, we need to use size as an additional attribute to every node. also value(for mappings) may be an optional attribute.

Workspace

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