GATE CSE 2006 | Trees Question 58 | Data Structures

GATE CSE 2006

MCQ (Single Correct Answer)

-0.6

Suppose that we have numbers between 1 and 100 in a binary search tree and want to search for the number 55. Which of the following sequences CANNOT be the sequence of nodes examined?

{10, 75, 64, 43, 60, 57, 55}

{90, 12, 68, 34, 62, 45, 55}

{9, 85, 47, 68, 43, 57, 55}

{79, 14, 72, 56, 16, 53, 55}

GATE CSE 2005

MCQ (Single Correct Answer)

-0.6

Postorder traversal of a given binary search tree T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an inorder traversal of the tree T?

9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95

9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29

29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95

95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29

GATE CSE 2005

MCQ (Single Correct Answer)

-0.6

In a complete k-ary tree, every internal node has exactly k children. The number of leaves in such a tree with n internal nodes is

(n – 1)k + 1

n(k – 1) + 1

n(k – 1)

GATE CSE 2005

MCQ (Single Correct Answer)

-0.6

In a binary tree, for every node the difference between the number of nodes in the left and right subtrees is at most 2. If the height of the tree is h > 0, then the minimum number of nodes in the tree is:

2^{h – 1}

2^{h – 1} + 1

2^h – 1

2^h

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