# Data Structures :: Trees

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SHSTTON
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What are the number of nodes of left and right sub-tree of the binary tree if the data is inserted in the following order:\r\n 45, 15, 8, 5 6, 5, 65, 47, 12, 18, 10, 73, 50, 16, 61

A7 6

B6 7

C8 5

D5 8

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Explanation:

Here is no explanation for this answer

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SHSTTON
46
Solv. Corr.
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Solv. In. Corr.
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Consider the following code segment in C to traverse a binary tree using the preorder

typedef struct tree {
int info;
struct  *left;
struct  *right;
}node;

void preorder(node *tree)
{
if (t)
{
Statementl
Statement2
Statement3
}
}
The above Statements should be

Apreorder(tree->right); preorder(tree->left); printf("%d", tree->info);

Bpreorder(tree->left); preorder(tree->right); printf("%d", tree->info);

Cpreorder(tree->left); printf("%d", tree->info); preorder(tree->right);

Dprintf("%d", tree->info); preorder(tree->left); preorder(tree->right);

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Explanation:

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Solv. In. Corr.
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The worst case time complexity of AVL tree is better in comparison to binary search tree for

ASearch and Insert Operations

BSearch and Delete Operations

CInsert and Delete Operations

DSearch, Insert and Delete Operations

Explanation:

Search is O(log N) since AVL trees are always balanced. Insertion and deletions are also O(logn) where as in case of BST it is O(n).

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A full binary tree with 2n+1 nodes contain

An leaf nodes

Bn non-leaf nodes

C(n-1) leaf nodes

D(n-1) non-leaf nodes

Explanation:

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If a node in a BST has two children, then its inorder predecessor has

Ano left child

Bno right child

Ctwo children

Dno child

Explanation:

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A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is known as

Afull binary tree.

BAVL tree.

Dcomplete binary tree.

Explanation:

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A full binary tree with n leaves contains

An nodes.

B(log2 n)nodes.

C(2n-1) nodes.

D2^n nodes.

Explanation:

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The number of different directed trees with 3 nodes are

A2

B4

C3

D5

Explanation:

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One can convert a binary tree into its mirror image by traversing it in

Ainorder

Bpreorder

Cpostorder

Dany orde

Explanation:

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The number of leaf nodes in a complete binary tree of depth d is

A2^d

B[2^(d-1)]+1

C[2^(d+1)]+1

D(2^d)+1

Explanation:

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