**Question Bank of Data Structure: Set 3**

*Q.1 Given a set of input representing the nodes of a binary tree, write a non recursive algorithm that must be able to output the three traversal orders.*

*Q.2 Make a Binary Search Tree for the following sequence of numbers 45, 36, 76, 23, 89, 115, 98, 39, 41, 56, 69, 48. Traverse the tree in Pre-order, In-order and Post-order.*

*Q.3 Two Binary Trees are similar if they are both empty or if they are both nonempty and left and right sub trees are similar. Explain.*

*Q.4 The degree of a node is the number of children it has. Show that in any binary tree, the number of leaves are one more than the number of nodes of degree 2.*

*Q.5 Taking a suitable example explains how a general tree can be represented as a Binary Tree.*

*Q.6 What is the maximum total number of nodes in a tree that has N levels?*

*Q.7 Write the non-recursive algorithm to traverse a tree in preorder.*

*Q.8 Write a Binary Search program.*

*Q.9 What are expression trees? Represent the following expression using a tree.*

*Q.10 How do you rotate a Binary Tree? Explain right and left rotations with the help of an example.*

*Q.11 Taking a suitable example explains how a general tree can be represented as a Binary Tree.*

*Q.12 How many different binary trees and binary search trees can be made from three nodes that contain the key values 1, 2 & 3?*

*Q.13 How will in-order, pre-order and post-order traversals print the elements of a tree?*

*Q.14 Which one is faster? A binary search of an ordered set of elements in an array or a sequential search of the elements.*

*Q.15 Write a non recursive algorithm to traverse a binary tree in in-order.*

*Q16 Construct a binary tree whose nodes in in-order and pre-order are given as follows: In-order : 10, 15, 17, 18, 20, 25, 30, 35, 38, 40, 50, Pre-order: 20, 15, 10, 18, 17, 30, 25, 40, 35, 38, 50*

*Q.17 Given the following in-order and pre-order traversal reconstruct a binary tree, In-order sequence D, G, B, H, E, A, F, I, C, Pre-order sequence A, B, D, G, E, H, C, F, I*

*Q.18 Make a Binary Search Tree for the following sequence of numbers. 45,32,90,34,68,72,15,24,30,66,11,50,10 Traverse the Binary Search Tree created in Pre-order, In-order and Post-order.*

*Q.19 What is a Binary Tree? What is the maximum number of nodes possible in a Binary Tree of depth d.*

*Q.20 Construct a complete binary tree with depth 3 for this tree which is maintained in memory using linked representation.*

*Q.21 Prove the hypothesis that “A tree having ‘m’ nodes has exactly (m–1) edges or branches”.*

*Q.22 Construct the binary tree for the following sequence of nodes in pre-order and in-order respectively. Pre-order : G, B, Q, A, C, K, F, P, D, E, R, H, In-order: Q, B, K, C, F, A, G, P, E, D, H, R*

*Q.23 What is a height balanced tree? Explain how the height is balanced after addition/deletion of nodes in it?*

*Q.24 Let a binary tree ‘T’ be in memory. Write a procedure to delete all terminal nodes of the tree.*

*Q.25 Consider the following eight numbers 50, 33, 44, 22, 77, 35, 60 and 40. Display the construction of the binary by inserting the above numbers in the given order.*

*Q. 26 Explain the following terms with respect to Binary trees (i) Strictly Binary Tree (ii) Complete Binary Tree (iii) Almost Complete Binary Tree.*

*Thanks*

*Mukesh Rajput*

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Thanks

Mukesh Rajput