1
GATE CSE 2005
+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
2
GATE CSE 2005
+2
-0.6
How many distinct binary search trees can be created out of 4 distinct keys?
A
5
B
14
C
24
D
42
3
GATE CSE 2005
+2
-0.6
A binary search tree contains the numbers 1, 2, 3, 4, 5, 6, 7, 8. When the tree is traversed in pre-order and the values in each node printed out, the sequence of values obtained is 5, 3, 1, 2, 4, 6, 8, 7. If the tree is traversed in post-order, the sequence obtained would be
A
8, 7, 6, 5, 4, 3, 2, 1
B
1, 2, 3, 4, 8, 7, 6, 5
C
2, 1, 4, 3, 6, 7, 8, 5
D
2, 1, 4, 3, 7, 8, 6, 5
4
GATE CSE 2005
+2
-0.6
A Priority-Queue is implemented as a Max-Heap. Initially, it has 5 elements. The level-order traversal of the heap is given below: 10, 8, 5, 3, 2 Two new elements ”1‘ and ”7‘ are inserted in the heap in that order. The level-order traversal of the heap after the insertion of the elements is:
A
10, 8, 7, 5, 3, 2, 1
B
10, 8, 7, 2, 3, 1, 5
C
10, 8, 7, 1, 2, 3, 5
D
10, 8, 7, 3, 2, 1, 5
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization
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