Q. Which of the following statement is false ?

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Q. The algorithm that will efficiently sort an array that is nearly sorted except for the interchange of some adjacent pairs of numbers like : { 1, 3, 2, 5, 4, 6} is:

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Q. The following lists are the degrees of all the vertices of a graph:

(i) 1, 2, 3, 4, 5                (ii) 3, 4, 5, 6, 7
(iii) 1, 4, 5, 8, 6              (iv) 3, 4, 5, 6

then, which of the above sequences are graphic?

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Q. What item is at the root after the following sequence of insertions into an empty splay tree:
1, 11, 3, 10, 8, 4, 6, 5, 7, 9, 2 ?

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Q. Suppose we are implementing quadratic probing with a Hash function, Hash (y)=X mode 100. If an element with key 4594 is inserted and the first three locations attempted are already occupied, then the next cell that will be tried is:

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Q. Weighted graph:

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Q. What operation is supported in constant time by the doubly linked list, but not by the singly linked list?

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Q. How much extra space is used by heap sort?

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Q. Binary search algorithm employs the strategy of

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Q. Dangling-else ambiguity can be eliminated by

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Q. If n represents the dimension of cube and K, the radix (no. of nodes along each dimensions) then the number of nodes N of a k-ary n-cube network is:

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Q. The postfix form of the expression (A+B)*C-D/E is:

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Q. The number of nodes in a complete binary tree of height n:

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Q. Data abstraction means:

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Q. The solution of recurrence relation:

T(n) = 2T(sqrt(n)) + lg (n)

is

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Q. The elements 42,25,30,40,22,35,26 are inserted one by one in the given order into a max-heap. The resultant max-heap is sorted in an array implementation as

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Q. Consider the following postfix expression with single digit operands:

623∗/42∗+68∗−

The top two elements of the stack after the second ∗ is evaluated, are:

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Q. A binary search tree is constructed by inserting the following numbers in order:

60, 25, 72, 15, 30, 68, 101, 13, 18, 47, 70, 34

The number of nodes in the left subtree is

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Q. In a ternary tree, the number of internal nodes of degree 1, 2, and 3 is 4, 3, and 3 respectively. The number of leaf nodes in the ternary tree is

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Q. Match List-I with List-II and choose the correct answer from the code given below:

List I (Graph Algorithm) List II (Time Complexity)
(a) Dijkstra’s algorithm (i) O(E lg E)
(b) Kruskal’s algorithm (ii) Θ(V3)
(c) Floyd-Warshall algorithm (iii) O(V2)
(d) Topological sorting (iv) Θ(V+E)

where V and E are the number of vertices and edges in graph respectively.

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