1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-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
A
nk
B
(n – 1)k + 1
C
n(k – 1) + 1
D
n(k – 1)
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-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:
A
2h – 1
B
2h – 1 + 1
C
2h – 1
D
2h
3
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-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?
A
9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95
B
9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29
C
29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95
D
95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29
4
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
A program P reads in 500 integers in the range [0, 100] representing the cores of 500 students. It then print the frequency of each score above 50. What would be the best way for P to store the frequencies?
A
An array of 50 numbers
B
An array of 100 numbers
C
An array of 500 numbers
D
A dynamically allocated array of 550 numbers