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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
Suppose the BST has been unsuccessfully searched for key 273. Which all of the above sequences list nodes in the order in which we could have encountered them in the search?
A
II and III only
B
I and III only
C
III and IV only
D
III only
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
The following three are known to be the preorder, inorder and postorder sequences of a binary tree. But it is not known which is which. MBCAFHPYK KAMCBYPFH MABCKYFPH Pick the true statement from the following.
A
I and II are preorder and inorder sequences, respectively
B
I and III are preorder and postorder sequences, respectively
C
II is the inorder sequence, but nothing more can be said about the other two sequences
D
II and III are the preorder and inorder sequences, respectively
3
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
4
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.
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