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The number of nodes that have no successors in a complete binary tree of depth 4 is

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What are the conditions for an optimal binary search tree and what is its advantage?

The tree should not be modified and you should know how often the keys are accessed, it improves the lookup cost

You should know the frequency of access of the keys, improves the lookup time

The tree can be modified and you should know the number of elements in the tree before hand, it improves the deletion time

None of the mentioned

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MCQ

Worst case efficiency of binary search is

log2 n + 1

log n.

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A binary tree is a special type of tree, which can either be empty or have a finite set of nodes, such that, one of the nodes is designated as the root node and the remaining nodes are partitioned into sub trees of the root nodes known as__________.

Left sub tree

Right sub tree

Both (a) and (b)

Heap tree

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Consider a situation of writing a binary tree into a file with memory storage efficiency in mind, is array representation of tree is good?

yes because we are overcoming the need of pointers and so space efficiency

yes because array values are indexable

No it is not efficient in case of sparse trees and remaning cases it is fine

No linked list representation of tree is only fine

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In a full binary tree if number of internal nodes is I, then number of leaves L are?

L = 2I

L = I + 1

L = I

L = 2I

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Abstract data types

Arrays

Lists

Stacks

Queues

Trees

Binary Trees

B Trees

Heaps

Hash based structures

Graphs

Mixed

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