Q. Given 0-1 knapsack problem and fractional knapsack problem and the following statements :

S1 : 0-1 knapsack is efficiently solved using Greedy algorithm.
S2 : Fractional knapsack is efficiently solved using Dynamic programming.

Which of the following is true ?

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Q. Consider the following sequence of operations :

(i) Pointer p1 is set to point at a new heap-dynamic variable.
(ii) Pointer p2 is assigned p1’s value.
(iii) The heap dynamic variable pointed to by p1 is explicitly de-allocated, but p2 is not changed by the operation.

This situation leads to which of the following :

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Q. Cyclometric complexity of a flow graph G with n vertices and e edges is

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Q. For a B-tree of height h and degree t, the total CPU time used to insert a node is

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Q. The time complexity to build a heap with a list of n numbers is

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Q. The value of postfix expression:

8 3 4 + - 3 8 2 / + * 2 $ 3+ is

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Q. Consider the following statements for priority queue:

S1: It is a data structure in which the intrinsic ordering of the elements does determine the result of its basic operations.
S2: The elements of a priority queue may be complex structures that are ordered on one or several fields.

Which of the following is correct?

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Q. Give as good a big-O estimate as possible for the following functions:

(nlogn+n^2)(n^3+2) and (n!+2^n)(n^3+log(n^2+ 1))

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Q. In any n-element heap, the number of nodes of height h is

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Q. A vertex cover of an undirected graph G(V, E) is a subset V1 ⊆ V vertices such that

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Q. Suppose you want to delete the name that occurs before “Vivek” in an alphabetical listing. Which of the following data structures shall be most efficient for this operation?

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Q. The postfix expression AB+CD–* can be evaluated using a

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Q. The post order traversal of a binary tree is DEBFCA. Find out the preorder traversal.

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Q. The number of colours required to properly colour the vertices of every planer graph is

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Q. A binary search tree is a binary tree :

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Q. The Inorder traversal of the tree will yield a sorted listing of elements of tree in

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Q. Which of the following data structure is linear type ?

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Q. To represent hierarchical relationship between elements, which data structure is suitable?

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Q. Consider the following pseudo code segment :

K:=0
 for i1:= l to n
  for i2:= 1 to i1
   :
   :
   :
    for im:= 1 to im–1
     K:= K+1

The value of K after the execution of this code shall be

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Q. Number of binary trees formed with 5 nodes are

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