1
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
The numbers 1, 2, ........, n are inserted in a binary search tree in some order. In the resulting tree, the right subtree of the root contains p nodes. The first number to be inserted in the tree must be
A
p
B
p + 1
C
n – p
D
n – p + 1
2
GATE CSE 2005
MCQ (Single Correct Answer)
+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
3
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)
4
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