1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
A Binary Search Tree (BST) stores values in the range 37 to 573. Consider the following sequence of keys.
I. 81, 537, 102, 439, 285, 376, 305
II. 52, 97, 121, 195, 242, 381, 472
III. 142, 248, 520, 386, 345, 270, 307
IV. 550, 149, 507, 395, 463, 402, 270
Which of the following statements is TRUE?
A
I, II and IV are inorder sequences of three different BSTs
B
I is a preorder sequence of some BST with 439 as the root
C
II is an inorder sequence of some BST where 121 is the root and 52 is a leaf
D
IV is a postorder sequence of some BST with 149 as the root
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
How many distinct BSTs can be constructed with 3 distinct keys?
A
4
B
5
C
6
D
9
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
You are given the postorder traversal, P, of a binary search tree on the n elements 1, 2,..........., n. You have to determine the unique binary search tree that has P as its postorder traversal. What is the time complexity of the most efficient algorithm for doing this?
A
O(Logn)
B
O(n)
C
O(nLogn)
D
none of the above, as the tree cannot be uniquely determined.
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the following sequence of nodes for the undirected graph given below.
1.a b e f d g c
2.a b e f c g d
3.a d g e b c f
4.a d b c g e f
A Depth First Search (DFS) is started at node a. The nodes are listed in the order they are first visited. Which all of the above is (are) possible output(s)? GATE CSE 2008 Data Structures - Graphs Question 18 English
A
1 and 3 only
B
2 and 3 only
C
2, 3 and 4 only
D
1 , 2 and 3
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