Page 1 DC08 DATA STRUCTURES 1 TYPICAL QUESTIONS & ANSWERS PART I OBJECTIVE TYPE QUESTIONS Each Question carries 2 marks. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m, where n<=m, the expected number of collisions involving a particular key x is : (A) less than 1. (B) less than n. (C) less than m. (D) less than n/2. Ans:A Q.2 Let A be an adjacency matrix of a graph G. The th ij entry in the matrix K A , gives (A) The number of paths of length K from vertex Vi to vertex Vj. (B) Shortest path of K edges from vertex Vi to vertex Vj. (C) Length of a Eulerian path from vertex Vi to vertex Vj. (D) Length of a Hamiltonian cycle from vertex Vi to vertex Vj. Ans:B Q.3 The OS of a computer may periodically collect all the free memory space to form contiguous block of free space. This is called (A) Concatenation (B) Garbage collection (C) Collision (D) Dynamic Memory Allocation Ans:B Q.4 What is the following code segment doing? void fn( ){ char c; cin.get(c); if (c != ‘\n’) { fn( ); cout.put(c); } } (A) The string entered is printed as it is. (B) The string entered is printed in reverse order. (C) It will go in an infinite loop. (D) It will print an empty line. Ans:B Page 2 DC08 DATA STRUCTURES 1 TYPICAL QUESTIONS & ANSWERS PART I OBJECTIVE TYPE QUESTIONS Each Question carries 2 marks. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m, where n<=m, the expected number of collisions involving a particular key x is : (A) less than 1. (B) less than n. (C) less than m. (D) less than n/2. Ans:A Q.2 Let A be an adjacency matrix of a graph G. The th ij entry in the matrix K A , gives (A) The number of paths of length K from vertex Vi to vertex Vj. (B) Shortest path of K edges from vertex Vi to vertex Vj. (C) Length of a Eulerian path from vertex Vi to vertex Vj. (D) Length of a Hamiltonian cycle from vertex Vi to vertex Vj. Ans:B Q.3 The OS of a computer may periodically collect all the free memory space to form contiguous block of free space. This is called (A) Concatenation (B) Garbage collection (C) Collision (D) Dynamic Memory Allocation Ans:B Q.4 What is the following code segment doing? void fn( ){ char c; cin.get(c); if (c != ‘\n’) { fn( ); cout.put(c); } } (A) The string entered is printed as it is. (B) The string entered is printed in reverse order. (C) It will go in an infinite loop. (D) It will print an empty line. Ans:B DC08 DATA STRUCTURES 2 Q.5 You have to sort a list L consisting of a sorted list followed by a few “random” elements. Which of the following sorting methods would be especially suitable for such a task? (A) Bubble sort (B) Selection sort (C) Quick sort (D) Insertion sort Ans:D Q.6 B Trees are generally (A) very deep and narrow (B) very wide and shallow (C) very deep and very wide (D) cannot say Ans:D Q.7 A technique for direct search is (A) Binary Search (B) Linear Search (C) Tree Search (D) Hashing Ans:D Q.8 If a node having two children is deleted from a binary tree, it is replaced by its (A) Inorder predecessor (B) Inorder successor (C) Preorder predecessor (D) None of the above Ans:B Q.9 The searching technique that takes O (1) time to find a data is (A) Linear Search (B) Binary Search (C) Hashing (D) Tree Search Ans:C Q.10 A mathematical-model with a collection of operations defined on that model is called (A) Data Structure (B) Abstract Data Type (C) Primitive Data Type (D) Algorithm Ans:B Q.11 The number of interchanges required to sort 5, 1, 6, 2 4 in ascending order using Bubble Sort is (A) 6 (B) 5 (C) 7 (D) 8 Ans:B Q.12 The postfix form of the expression ( ) ( ) G / F E D C B A * - * * + is (A) * * - * + / FG E CD AB (B) / G F E CD AB * * - * + (C) / G F E CD AB * * - * + (D) / G F CDE AB * * - * + Page 3 DC08 DATA STRUCTURES 1 TYPICAL QUESTIONS & ANSWERS PART I OBJECTIVE TYPE QUESTIONS Each Question carries 2 marks. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m, where n<=m, the expected number of collisions involving a particular key x is : (A) less than 1. (B) less than n. (C) less than m. (D) less than n/2. Ans:A Q.2 Let A be an adjacency matrix of a graph G. The th ij entry in the matrix K A , gives (A) The number of paths of length K from vertex Vi to vertex Vj. (B) Shortest path of K edges from vertex Vi to vertex Vj. (C) Length of a Eulerian path from vertex Vi to vertex Vj. (D) Length of a Hamiltonian cycle from vertex Vi to vertex Vj. Ans:B Q.3 The OS of a computer may periodically collect all the free memory space to form contiguous block of free space. This is called (A) Concatenation (B) Garbage collection (C) Collision (D) Dynamic Memory Allocation Ans:B Q.4 What is the following code segment doing? void fn( ){ char c; cin.get(c); if (c != ‘\n’) { fn( ); cout.put(c); } } (A) The string entered is printed as it is. (B) The string entered is printed in reverse order. (C) It will go in an infinite loop. (D) It will print an empty line. Ans:B DC08 DATA STRUCTURES 2 Q.5 You have to sort a list L consisting of a sorted list followed by a few “random” elements. Which of the following sorting methods would be especially suitable for such a task? (A) Bubble sort (B) Selection sort (C) Quick sort (D) Insertion sort Ans:D Q.6 B Trees are generally (A) very deep and narrow (B) very wide and shallow (C) very deep and very wide (D) cannot say Ans:D Q.7 A technique for direct search is (A) Binary Search (B) Linear Search (C) Tree Search (D) Hashing Ans:D Q.8 If a node having two children is deleted from a binary tree, it is replaced by its (A) Inorder predecessor (B) Inorder successor (C) Preorder predecessor (D) None of the above Ans:B Q.9 The searching technique that takes O (1) time to find a data is (A) Linear Search (B) Binary Search (C) Hashing (D) Tree Search Ans:C Q.10 A mathematical-model with a collection of operations defined on that model is called (A) Data Structure (B) Abstract Data Type (C) Primitive Data Type (D) Algorithm Ans:B Q.11 The number of interchanges required to sort 5, 1, 6, 2 4 in ascending order using Bubble Sort is (A) 6 (B) 5 (C) 7 (D) 8 Ans:B Q.12 The postfix form of the expression ( ) ( ) G / F E D C B A * - * * + is (A) * * - * + / FG E CD AB (B) / G F E CD AB * * - * + (C) / G F E CD AB * * - * + (D) / G F CDE AB * * - * + DC08 DATA STRUCTURES 3 Ans: A Q.13 The complexity of multiplying two matrices of order m*n and n*p is (A) mnp (B) mp (C) mn (D) np Ans:A Q.14 Merging 4 sorted files containing 50, 10, 25 and 15 records will take____time (A) O (100) (B) O (200) (C) O (175) (D) O (125) Ans:A Q.15 For an undirected graph with n vertices and e edges, the sum of the degree of each vertex is equal to (A) 2n (B) (2n-1)/2 (C) 2e (D) e 2 /2 Ans:C Q.16 In worst case Quick Sort has order (A) O (n log n) (B) O (n 2 /2) (C) O (log n) (D) O (n 2 /4) Ans:B Q.17 A full binary tree with 2n+1 nodes contain (A) n leaf nodes (B) n non-leaf nodes (C) n-1 leaf nodes (D) n-1 non-leaf nodes Ans:B Q.18 If a node in a BST has two children, then its inorder predecessor has (A) no left child (B) no right child (C) two children (D) no child Ans:B Q.19 A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is known as (A) full binary tree. (B) AVL tree. (C) threaded tree. (D) complete binary tree. Ans:A Q.20 A linear list of elements in which deletion can be done from one end (front) and insertion can take place only at the other end (rear) is known as a (A) queue. (B) stack. Page 4 DC08 DATA STRUCTURES 1 TYPICAL QUESTIONS & ANSWERS PART I OBJECTIVE TYPE QUESTIONS Each Question carries 2 marks. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m, where n<=m, the expected number of collisions involving a particular key x is : (A) less than 1. (B) less than n. (C) less than m. (D) less than n/2. Ans:A Q.2 Let A be an adjacency matrix of a graph G. The th ij entry in the matrix K A , gives (A) The number of paths of length K from vertex Vi to vertex Vj. (B) Shortest path of K edges from vertex Vi to vertex Vj. (C) Length of a Eulerian path from vertex Vi to vertex Vj. (D) Length of a Hamiltonian cycle from vertex Vi to vertex Vj. Ans:B Q.3 The OS of a computer may periodically collect all the free memory space to form contiguous block of free space. This is called (A) Concatenation (B) Garbage collection (C) Collision (D) Dynamic Memory Allocation Ans:B Q.4 What is the following code segment doing? void fn( ){ char c; cin.get(c); if (c != ‘\n’) { fn( ); cout.put(c); } } (A) The string entered is printed as it is. (B) The string entered is printed in reverse order. (C) It will go in an infinite loop. (D) It will print an empty line. Ans:B DC08 DATA STRUCTURES 2 Q.5 You have to sort a list L consisting of a sorted list followed by a few “random” elements. Which of the following sorting methods would be especially suitable for such a task? (A) Bubble sort (B) Selection sort (C) Quick sort (D) Insertion sort Ans:D Q.6 B Trees are generally (A) very deep and narrow (B) very wide and shallow (C) very deep and very wide (D) cannot say Ans:D Q.7 A technique for direct search is (A) Binary Search (B) Linear Search (C) Tree Search (D) Hashing Ans:D Q.8 If a node having two children is deleted from a binary tree, it is replaced by its (A) Inorder predecessor (B) Inorder successor (C) Preorder predecessor (D) None of the above Ans:B Q.9 The searching technique that takes O (1) time to find a data is (A) Linear Search (B) Binary Search (C) Hashing (D) Tree Search Ans:C Q.10 A mathematical-model with a collection of operations defined on that model is called (A) Data Structure (B) Abstract Data Type (C) Primitive Data Type (D) Algorithm Ans:B Q.11 The number of interchanges required to sort 5, 1, 6, 2 4 in ascending order using Bubble Sort is (A) 6 (B) 5 (C) 7 (D) 8 Ans:B Q.12 The postfix form of the expression ( ) ( ) G / F E D C B A * - * * + is (A) * * - * + / FG E CD AB (B) / G F E CD AB * * - * + (C) / G F E CD AB * * - * + (D) / G F CDE AB * * - * + DC08 DATA STRUCTURES 3 Ans: A Q.13 The complexity of multiplying two matrices of order m*n and n*p is (A) mnp (B) mp (C) mn (D) np Ans:A Q.14 Merging 4 sorted files containing 50, 10, 25 and 15 records will take____time (A) O (100) (B) O (200) (C) O (175) (D) O (125) Ans:A Q.15 For an undirected graph with n vertices and e edges, the sum of the degree of each vertex is equal to (A) 2n (B) (2n-1)/2 (C) 2e (D) e 2 /2 Ans:C Q.16 In worst case Quick Sort has order (A) O (n log n) (B) O (n 2 /2) (C) O (log n) (D) O (n 2 /4) Ans:B Q.17 A full binary tree with 2n+1 nodes contain (A) n leaf nodes (B) n non-leaf nodes (C) n-1 leaf nodes (D) n-1 non-leaf nodes Ans:B Q.18 If a node in a BST has two children, then its inorder predecessor has (A) no left child (B) no right child (C) two children (D) no child Ans:B Q.19 A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is known as (A) full binary tree. (B) AVL tree. (C) threaded tree. (D) complete binary tree. Ans:A Q.20 A linear list of elements in which deletion can be done from one end (front) and insertion can take place only at the other end (rear) is known as a (A) queue. (B) stack. DC08 DATA STRUCTURES 4 (C) tree. (D) linked list. Ans:A Q.21 What is the postfix form of the following prefix expression -A/B*C$DE (A) ABCDE$*/- (B) A-BCDE$*/- (C) ABC$ED*/- (D) A-BCDE$*/ Ans:A Q.22 A full binary tree with n leaves contains (A) n nodes. (B) n log 2 nodes. (C) 2n –1 nodes. (D) n 2 nodes. Ans:C Q.23 A sort which relatively passes through a list to exchange the first element with any element less than it and then repeats with a new first element is called (A) insertion sort. (B) selection sort. (C) heap sort. (D) quick sort. Ans:D Q.24 Which of the following sorting algorithms does not have a worst case running time of ( ) 2 n O ? (A) Insertion sort (B) Merge sort (C) Quick sort (D) Bubble sort Ans:B Q.25 An undirected graph G with n vertices and e edges is represented by adjacency list. What is the time required to generate all the connected components? (A) O (n) (B) O (e) (C) O (e+n) (D) O ( ) 2 e Ans:C Q.26 Consider a linked list of n elements. What is the time taken to insert an element after an element pointed by some pointer? (A) O (1) (B) O ( ) n log 2 (C) O (n) (D) O ( ) n log n 2 Ans:A Q.27 The smallest element of an array’s index is called its (A) lower bound. (B) upper bound. (C) range. (D) extraction. Page 5 DC08 DATA STRUCTURES 1 TYPICAL QUESTIONS & ANSWERS PART I OBJECTIVE TYPE QUESTIONS Each Question carries 2 marks. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m, where n<=m, the expected number of collisions involving a particular key x is : (A) less than 1. (B) less than n. (C) less than m. (D) less than n/2. Ans:A Q.2 Let A be an adjacency matrix of a graph G. The th ij entry in the matrix K A , gives (A) The number of paths of length K from vertex Vi to vertex Vj. (B) Shortest path of K edges from vertex Vi to vertex Vj. (C) Length of a Eulerian path from vertex Vi to vertex Vj. (D) Length of a Hamiltonian cycle from vertex Vi to vertex Vj. Ans:B Q.3 The OS of a computer may periodically collect all the free memory space to form contiguous block of free space. This is called (A) Concatenation (B) Garbage collection (C) Collision (D) Dynamic Memory Allocation Ans:B Q.4 What is the following code segment doing? void fn( ){ char c; cin.get(c); if (c != ‘\n’) { fn( ); cout.put(c); } } (A) The string entered is printed as it is. (B) The string entered is printed in reverse order. (C) It will go in an infinite loop. (D) It will print an empty line. Ans:B DC08 DATA STRUCTURES 2 Q.5 You have to sort a list L consisting of a sorted list followed by a few “random” elements. Which of the following sorting methods would be especially suitable for such a task? (A) Bubble sort (B) Selection sort (C) Quick sort (D) Insertion sort Ans:D Q.6 B Trees are generally (A) very deep and narrow (B) very wide and shallow (C) very deep and very wide (D) cannot say Ans:D Q.7 A technique for direct search is (A) Binary Search (B) Linear Search (C) Tree Search (D) Hashing Ans:D Q.8 If a node having two children is deleted from a binary tree, it is replaced by its (A) Inorder predecessor (B) Inorder successor (C) Preorder predecessor (D) None of the above Ans:B Q.9 The searching technique that takes O (1) time to find a data is (A) Linear Search (B) Binary Search (C) Hashing (D) Tree Search Ans:C Q.10 A mathematical-model with a collection of operations defined on that model is called (A) Data Structure (B) Abstract Data Type (C) Primitive Data Type (D) Algorithm Ans:B Q.11 The number of interchanges required to sort 5, 1, 6, 2 4 in ascending order using Bubble Sort is (A) 6 (B) 5 (C) 7 (D) 8 Ans:B Q.12 The postfix form of the expression ( ) ( ) G / F E D C B A * - * * + is (A) * * - * + / FG E CD AB (B) / G F E CD AB * * - * + (C) / G F E CD AB * * - * + (D) / G F CDE AB * * - * + DC08 DATA STRUCTURES 3 Ans: A Q.13 The complexity of multiplying two matrices of order m*n and n*p is (A) mnp (B) mp (C) mn (D) np Ans:A Q.14 Merging 4 sorted files containing 50, 10, 25 and 15 records will take____time (A) O (100) (B) O (200) (C) O (175) (D) O (125) Ans:A Q.15 For an undirected graph with n vertices and e edges, the sum of the degree of each vertex is equal to (A) 2n (B) (2n-1)/2 (C) 2e (D) e 2 /2 Ans:C Q.16 In worst case Quick Sort has order (A) O (n log n) (B) O (n 2 /2) (C) O (log n) (D) O (n 2 /4) Ans:B Q.17 A full binary tree with 2n+1 nodes contain (A) n leaf nodes (B) n non-leaf nodes (C) n-1 leaf nodes (D) n-1 non-leaf nodes Ans:B Q.18 If a node in a BST has two children, then its inorder predecessor has (A) no left child (B) no right child (C) two children (D) no child Ans:B Q.19 A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is known as (A) full binary tree. (B) AVL tree. (C) threaded tree. (D) complete binary tree. Ans:A Q.20 A linear list of elements in which deletion can be done from one end (front) and insertion can take place only at the other end (rear) is known as a (A) queue. (B) stack. DC08 DATA STRUCTURES 4 (C) tree. (D) linked list. Ans:A Q.21 What is the postfix form of the following prefix expression -A/B*C$DE (A) ABCDE$*/- (B) A-BCDE$*/- (C) ABC$ED*/- (D) A-BCDE$*/ Ans:A Q.22 A full binary tree with n leaves contains (A) n nodes. (B) n log 2 nodes. (C) 2n –1 nodes. (D) n 2 nodes. Ans:C Q.23 A sort which relatively passes through a list to exchange the first element with any element less than it and then repeats with a new first element is called (A) insertion sort. (B) selection sort. (C) heap sort. (D) quick sort. Ans:D Q.24 Which of the following sorting algorithms does not have a worst case running time of ( ) 2 n O ? (A) Insertion sort (B) Merge sort (C) Quick sort (D) Bubble sort Ans:B Q.25 An undirected graph G with n vertices and e edges is represented by adjacency list. What is the time required to generate all the connected components? (A) O (n) (B) O (e) (C) O (e+n) (D) O ( ) 2 e Ans:C Q.26 Consider a linked list of n elements. What is the time taken to insert an element after an element pointed by some pointer? (A) O (1) (B) O ( ) n log 2 (C) O (n) (D) O ( ) n log n 2 Ans:A Q.27 The smallest element of an array’s index is called its (A) lower bound. (B) upper bound. (C) range. (D) extraction. DC08 DATA STRUCTURES 5 Ans:A Q.28 In a circular linked list (A) components are all linked together in some sequential manner. (B) there is no beginning and no end. (C) components are arranged hierarchically. (D) forward and backward traversal within the list is permitted. Ans:B Q.29 A graph with n vertices will definitely have a parallel edge or self loop of the total number of edges are (A) more than n (B) more than n+1 (C) more than (n+1)/2 (D) more than n(n-1)/2 Ans: D Q.30 The minimum number of multiplications and additions required to evaluate the polynomial P = 4x 3 +3x 2 -15x+45 is (A) 6 & 3 (B) 4 & 2 (C) 3 & 3 (D) 8 & 3 Ans: C Q.31 The maximum degree of any vertex in a simple graph with n vertices is (A) n–1 (B) n+1 (C) 2n–1 (D) n Ans: A Q.32 The data structure required for Breadth First Traversal on a graph is (A) queue (B) stack (C) array (D) tree Ans: A Q.33 The quick sort algorithm exploit _________ design technique (A) Greedy (B) Dynamic programming (C) Divide and Conquer (D) Backtracking Ans: C Q.34 The number of different directed trees with 3 nodes are (A) 2 (B) 3 (C) 4 (D) 5 Ans: BRead More

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