- Algorithms MCQ Questions and Answers – Fundamentals – Part 1
C omputer architecture MCQ questions and answers for the preparation of tests, exams, and certifications. So you will find questions about loops and conditionals, data structure, complexity, flowchart, pseudocode, and much more. This systematic learning method will easily prepare anyone to pass their exam.
1. What is an algorithm?
A A flowchart
B A flowchart or pseudocode
C A decision
D Step by step instructions used to solve a problem
2. What are the three algorithm constructions?
A Input, Output, Process
B Sequence, Selection, Repeat
C Input/Output, Decision, Repeat
D Loop, Input/Output, Process
- Repetition.
3. What is the difference between a flowchart and a pseudocode?
A A flowchart is a diagram while the pseudocode is written in a programming language (e.g. Pascal or Java)
B A flowchart is textual but the pseudocode is a diagram
C A flowchart is a schematic description of an algorithm, while pseudocode is a textual description of an algorithm.
D A flowchart and a pseudocode are the same
4. In a flowchart, an input or output instruction is represented by _____?
A A diamond
B Rectangle
C Parallelogram
5. In a flowchart, a calculation (process) is represented by _____?
6. To repeat a task, we use a ____?
B Condition
7. If ....... then ....... else ....... End If check ____?
A Only one condition
B Two conditions
C Three conditions
D Multiple conditions
8. REPEAT <processing> UNTIL <condition> is a ______?
A Positive loop
The following example uses the REPEAT UNTIL structure to read and validate a positive value:
9. A flowchart should represent the situation in which, for each grade, a student receives a “Good” or ” Average” the system will consider the grade and if it is equal to or greater than 12, assigns a “Good” grade, otherwise it assigns a “Passable” grade. Which of the following options will be used? A Input
10. What is a Flowchart?
A A way to design a text-based algorithm
B A specific programming language
C A diagram that represents a set of instructions
D A scheme of instructions
- Algorithms MCQ Questions and Answers – Fundamentals – Part 2
- Algorithms MCQ Questions and Answers – Fundamentals – Part 3
Algorithms MCQ – Data Structures & Complexity – Part 1
Algorithms mcq – data structures & complexity – part 2.
- Algorithms MCQ – Data Structures & Complexity – Part 3
Algorithms MCQ – Data Structures & Complexity – Part 4
- MS Word MCQ Questions and Answers – Part 6
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Algorithms MCQs (Multiple-Choice Questions) and Answers
Algorithms are the set of instructions that are used for solving specific tasks. Here, you will find the set of 50+ multiple-choice questions along with the answers and explanations on algorithms. These Algorithms MCQs are written for students as well as professionals to help them prepare for their examinations and interviews. Practice these Algorithms MCQs to learn and enhance your skills in Algorithms .
Algorithms MCQs with Answers and Explanations
Here are the top multiple-choice questions and answers on Algorithms:
1. The primary approach used by the Merge Sort algorithm is ____.
- Dynamic programming
- Greedy approach
- Divide-and-conquer
- Backtracking
Answer: C) Divide-and-conquer
Explanation:
Merge Sort follows the divide-and-conquer approach.
Divide-and-conquer - This approach divides the array into smaller subarrays, sorts each subarray, and then merges them back together.
Discuss this question
2. What is the best-case time complexity of the Merge Sort algorithm?
Answer: B) O(n log n)
Merge Sort has a best-case time complexity of O(n log n), the same as its average and worst-case complexities.
3. Which of the following is a disadvantage of the Merge Sort algorithm?
- It is not stable.
- It has a worst-case time complexity of O(n^2).
- It is not an in-place sorting algorithm.
- It cannot handle large datasets.
Answer: C) It is not an in-place sorting algorithm.
Merge Sort requires additional memory to store the merged subarrays. So, it is not an in-place sorting algorithm.
4. What is the space complexity of Merge Sort?
Answer: C) O(n)
Merge Sort requires additional space proportional to the size of the array being sorted, leading to a space complexity of O(n).
5. Which of the following is a real-world application of Merge Sort?
- Prim's algorithm
- Sorting large datasets
- Depth-first search
- None of the above
Answer: B) Sorting large datasets
Merge Sort is particularly useful for sorting large datasets.
6. What type of graph edges does Dijkstra's Algorithm not handle correctly?
- Parallel edges
- Negative weights
- Zero-weight edges
- All of the above
Answer: C) Zero-weight edges
Dijkstra's Algorithm fails with graphs with negative weight edges because it assumes that once a node's shortest path is found, it cannot be improved, which is not true in the presence of negative weights.
7. The data structure primarily used to implement Dijkstra's Algorithm is ____.
- Priority Queue
- Linked List
Answer: C) Priority Queue
A Priority Queue efficiently extracts the minimum distance vertex and updates the shortest paths in Dijkstra's Algorithm.
8. The best-case time complexity of Dijkstra's Algorithm is ______.
- O(V + E log V)
Answer: D) O(E log V)
When using an adjacency list along with a priority queue, the time complexity of Dijkstra's Algorithm is O (E log V), where:
- E is the number of edges
- V is the number of vertices.
9. One of the best applications of Dijkstra's Algorithm is_____.
- Google Maps
- Predicting weather patterns
- Sorting a list of numbers
Answer: A) Google Maps
Dijkstra's algorithm finds shortest paths in Google Maps.
10. Which of the following problems cannot be solved using Dijkstra's Algorithm?
- Shortest path in a city map
- Optimal network routing
- Handling graphs with negative weight cycles
- Efficient airline route planning
Answer: C) Handling graphs with negative weight cycles
Dijkstra's Algorithm does not work correctly with graphs with negative weight cycles.
11. What is the primary goal of Kruskal's Algorithm?
- To find the shortest path between two vertices
- To find the minimum spanning tree for a connected weighted graph
- To sort all edges of a graph in descending order
- To traverse a graph using a depth-first search
Answer: B) To find the minimum spanning tree for a connected weighted graph
Kruskal's Algorithm is designed to find a subset of the edges that form a tree including every vertex, where the total weight of all the edges in the tree is minimised.
12. In Kruskal's algorithm, first sort all graph edges in increasing order.
- Can't say anything
- Your choice
Answer: A) True
In Kruskal's algo, the first step is sorting all the edges of the graph in increasing order.
13. The time complexity of Kruskal’s algorithm is ____.
- O (E log E)
- O (V log V)
Answer: A) O (E log E)
The time complexity of Kruskal’s algorithm is O (E log E) , where E stands for edges.
14. Kruskal algorithm is considered a _____.
- Greedy algorithm
- Brute force approach
- Two-pointer approach
Answer: A) Greedy algorithm
Kruskal's Algorithm is considered a greedy algorithm because it makes decisions at each step based on the immediate best choice without considering the global optimal solution.
15. What happens if adding an edge creates a cycle in the spanning tree?
- The edge is added to the spanning tree
- The algorithm restarts
- The edge is discarded
- The edge's weight is increased
Answer: C) The edge is discarded
If an edge creates a cycle in the spanning tree, it is discarded to ensure the tree remains acyclic.
16. Which data structure is primarily used in Breadth-First Search (BFS) to keep track of the vertices to be visited?
Answer: B) Queue
BFS uses a queue data structure to maintain the order in which nodes are to be visited.
17. What is the time complexity of Breadth-First Search (BFS) in a graph with ð‘‰V vertices and EE edges?
Answer: C) O(V + E)
The time complexity of BFS is O(V + E) because it visits each vertex and each edge once.
18. In BFS, what condition indicates the presence of a cycle in an undirected graph?
- If a node is visited twice during traversal.
- If the graph is connected.
- If the graph has more edges than vertices.
- If a node has no adjacent nodes.
Answer: A) If a node is visited twice during traversal.
In an undirected graph, if BFS encounters a node that has already been visited (and it is not the immediate parent node), it indicates the presence of a cycle.
19. Fill in the blank: BFS is particularly useful for finding the ____ in an unweighted graph.
- Shortest path
- Longest path
- Minimal spanning tree
- Maximum flow
Answer: A) Shortest path
BFS is used to find the shortest path in an unweighted graph because it explores all nodes at the present "depth" level before moving on to nodes at the next depth level.
20. Which of the following is NOT an application of Breadth-First Search (BFS)?
- Shortest path finding in an unweighted graph
- Topological sorting in a directed acyclic graph
- Level order traversal of a binary tree
- Finding the minimum spanning tree
Answer: D) Finding the minimum spanning tree
BFS is not used to find the minimum spanning tree. Algorithms like Kruskal's and Prim's are used for finding the minimum spanning tree.
21. What is the time complexity of the Karatsuba algorithm for multiplying two binary strings?
Answer: B) O(n^1.59)
The Karatsuba algorithm uses divide-and-conquer to reduce the number of required multiplications, leading to an O time complexity (n^1.59).
22. True or False: The Karatsuba algorithm can be applied to any numerical base, not just binary.
The Karatsuba algorithm is a general multiplication technique that can be applied to numbers in any base, though it's often demonstrated with binary numbers.
23. The classical method of binary multiplication has a time complexity of ____.
Answer: B) O(n^2)
The classical method of binary multiplication involves iterating through each bit of the second number and performing shifts and additions, so a time complexity of O(n^2).
24. Which of the following is NOT a step in the Karatsuba algorithm?
- Divide the input strings into halves
- Recursively compute the product of the halves
- Multiply the smaller strings directly without recursion
- Combine the results using shifts and additions
Answer: C) Multiply the smaller strings directly without recursion
The Karatsuba algorithm involves recursive multiplication of the halves. Direct multiplication without recursion is not a part of the Karatsuba method but could be part of the base case handling.
25. The space complexity of the Karatsuba algorithm is _____.
Answer: A) O(n)
The space complexity of the Karastuba algorithm is O(n).
26. What is the primary purpose of the Floyd-Warshall algorithm?
- To find the shortest path from a single source to all other nodes
- To find the shortest path from a single source to a single destination
- To find the shortest paths between all pairs of nodes
- To find the longest paths between all pairs of nodes
Answer: C) To find the shortest paths between all pairs of nodes
The Floyd-Warshall algorithm finds the shortest paths between all pairs of nodes in a weighted graph.
27. The Floyd-Warshall algorithm can handle graphs with which type of edge weights?
- Only positive edge weights
- Only negative edge weights
- Both positive and negative edge weights
- Only zero edge weights
Answer: C) Both positive and negative edge weights
The Floyd-Warshall algorithm can handle graphs with positive and negative edge weights but does not work correctly with graphs containing negative cycles.
28. True or False: The Floyd-Warshall algorithm works for both directed and undirected graphs.
The Floyd-Warshall algorithm can be applied to both directed and undirected weighted graphs.
29. The time complexity of the Floyd-Warshall algorithm is ______.
Answer: C) O(V^3)
The Floyd-Warshall algorithm has a time complexity of O(V^3) due to its three nested loops over the graph vertices.
30. Which of the following statements is true about the Floyd-Warshall algorithm?
- It uses a greedy approach.
- It uses dynamic programming.
- It only works with unweighted graphs.
- It can only find the shortest path for a single source.
Answer: B) It uses dynamic programming.
The Floyd-Warshall algorithm follows a dynamic programming approach to find the shortest paths between all pairs of nodes.
31. Why is the Floyd-Warshall algorithm better suited for dense graphs rather than sparse graphs?
- It has a lower time complexity for dense graphs.
- It runs in constant time for dense graphs.
- It ignores the number of edges in the graph.
- It performs the same regardless of graph density.
Answer: C) It ignores the number of edges in the graph.
The Floyd-Warshall algorithm runs in O(V^3) time regardless of the number of edges.
32. The Floyd-Warshall algorithm does not work correctly for graphs with ______.
- Positive cycles
- Negative cycles
- Directed edges
Answer: C) Negative cycles
The Floyd-Warshall algorithm does not work correctly for graphs containing negative cycles, as the presence of such cycles can lead to incorrect shortest-path calculations.
33. Which of the following is the time complexity of the naive recursive implementation of the LCS problem?
Answer: C) O(2^(m+n))
The naive recursive implementation has an exponential time complexity because it explores all possible subsequences.
34. The Dynamic Programming approach to LCS has an auxiliary space complexity of O(1).
Answer: B) False
The auxiliary space complexity of the standard dynamic programming approach to LCS is O(m * n), where m and n are the lengths of the input strings.
35. The optimal substructure property of the LCS problem indicates that the problem can be broken down into ____.
- Smaller unrelated problems
- Subproblems that can be solved independently
- Overlapping subproblems
- Subproblems that build on the solutions of smaller subproblems
Answer: D) Subproblems that build on the solutions of smaller subproblems
Optimal substructure means the problem can be solved by using the solutions to its subproblems optimally.
36. In the context of the LCS problem, which approach uses a 2D array to store the lengths of common subsequences?
- Greedy Algorithm
- Divide and Conquer
- Dynamic Programming (Bottom-Up)
Answer: C) Dynamic Programming (Bottom-Up)
The bottom-up dynamic programming approach uses a 2D array to store the lengths of common subsequences.
37. What is the auxiliary space complexity of the space-optimized bottom-up approach for LCS?
Answer: B) O(n)
The space-optimized approach uses two arrays of size n, where n is the length of one of the strings.
38. In the LCS problem, if the last characters of the input strings are the same, the LCS length can be derived as 1 + LCS of ____.
- Remaining parts of both strings
- One string with the last character removed and the other string unchanged
- Both strings unchanged
- Remaining part of the first string and unchanged second string
Answer: A) Remaining parts of both strings
If the last characters are the same, we add 1 to the LCS length of the remaining parts of both strings.
39. The LCS length of the strings 'ABC' and 'CBA' is 2?
The LCS length of "ABC" and "CBA" is 1. There are common subsequences of length 1.
40. What type of algorithm is Prim's algorithm?
- Dynamic Programming
Answer: C) Greedy
Prim's algorithm is a greedy algorithm that builds the MST by selecting the minimum weight edges at each step.
41. Prim's algorithm starts with an arbitrary vertex and grows the MST by adding the ____ edge that connects a vertex in the MST to a vertex outside the MST.
Answer: D) Lightest
At each step, Prim's algorithm selects the minimum weight edge that connects the MST to a vertex outside the MST.
42. Prim's algorithm can produce different MSTs depending on the starting vertex?
The choice of the starting vertex can lead to different MSTs, although all will have the same total weight.
43. In Prim's algorithm, what data structure is commonly used to efficiently select the minimum weight edge?
A priority queue helps in efficiently selecting the edge with the minimum weight at each step.
44. The complexity of Prim's algorithm when using an adjacency list and a binary heap is ____.
Answer: B) O(E log V)
When using an adjacency list with a binary heap, Prim's algorithm runs in O(E log V) time.
45. Prim's algorithm guarantees the same MST irrespective of the starting node?
While the total weight of the MST will be the same, the structure of the MST can vary depending on the starting vertex.
46. In Prim's algorithm, what is the initial key value assigned to the starting vertex?
Answer: C) 0
The starting vertex is given a key value of 0 to ensure it is picked first.
47. In the adjacency matrix representation, the time complexity of Prim's algorithm is ____.
Answer: C) O(V^2)
When using an adjacency matrix, the time complexity of Prim's algorithm is O(V^2) due to the need to check all edges for the minimum weight edge selection.
48. What is the primary purpose of Kadane's Algorithm?
- To find the shortest path in a graph
- To find the largest sum of a contiguous subarray
- To sort an array
- To find the minimum sum of a contiguous subarray
Answer: B) To find the largest sum of a contiguous subarray
Kadane's Algorithm is used to find the subarray with the largest sum within a given array.
49. The time complexity of Kadane's algorithm is ____.
Answer: A) 0(n)
The time complexity of Kadane’s algorithm is O(n).
50. For a given array, what will be the maximum contiguous array sum? int n[]={ -2, -3, 4, -1, -2, 1, 5, -3 };
Answer: C) 7
51. Kadane's Algorithm can be used to find the smallest sum contiguous subarray by negating the elements of the array.
By negating all elements in the array, Kadane's Algorithm can be used to find the smallest sum contiguous subarray.
52. Which of the following statements is true about Kadane's Algorithm?
- It finds the maximum sum of any subarray in O(N^2) time.
- It requires additional space proportional to the size of the array.
- It finds the maximum sum of a contiguous subarray in O(N) time.
- It cannot handle arrays with all negative numbers.
Answer: C) It finds the maximum sum of a contiguous subarray in O(N) time.
Kadane's Algorithm efficiently finds the maximum sum of a contiguous subarray with a linear time complexity, O(N).
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- Data Structures and Algorithms
Data Structures and Algorithms Multiple Choice Questions (MCQs) and Answers
Master Data Structures and Algorithms with Practice MCQs. Explore our curated collection of Multiple Choice Questions. Ideal for placement and interview preparation, our questions range from basic to advanced, ensuring comprehensive coverage of Data Structures and Algorithms. Begin your placement preparation journey now!
Q1 Which of the following is a characteristic of an efficient algorithm?
Uses minimal CPU time
Uses minimal memory
Is easy to implement
All of the above
Report a Problem!
Q2 The process of breaking a complex problem into smaller, more manageable parts is known as what?
Decomposition
Abstraction
Encapsulation
Inheritance
Q3 What is the primary purpose of pseudocode?
To document algorithms in natural language
To compile and execute algorithms
To debug code
To optimize algorithms
Q4 In algorithm analysis, what does asymptotic complexity refer to?
The complexity in the best case
The complexity in the worst case
The complexity in the average case
The behavior of an algorithm as the input size grows
Q5 What will be the output of the following pseudocode if the input is 5? function factorial(n): if n == 1 return 1 else return n * factorial(n-1)
None of the above
Q6 Consider the following algorithm for calculating the nth Fibonacci number: function fib(n): if n <= 1 return n else return fib(n-1) + fib(n-2). What is the time complexity of this algorithm?
Q7 An algorithm supposed to calculate the sum of numbers from 1 to n returns a higher value than expected. What is the most likely mistake?
Starting the loop from 0
Not initializing the sum variable
Adding n twice
Q8 Given an algorithm that always returns the first element in a sorted list instead of the smallest, what is likely the issue?
The algorithm incorrectly assumes the first element is the smallest
The list is not properly sorted
A loop iterates incorrectly
Q9 Which Big O notation represents constant time complexity?
Q10 For a linear search in an unsorted array of n elements, what is the average case time complexity?
Q11 What does the Big O notation O(n^2) signify about an algorithm's growth rate?
Linear growth
Quadratic growth
Logarithmic growth
Exponential growth
Q12 In Big O notation, what does O(log n) typically represent?
The time complexity of binary search
The time complexity of linear search
The space complexity of sorting algorithms
The space complexity of hashing
Q13 Which of the following best describes the time complexity of inserting an element into a binary search tree?
Q14 What is the worst-case time complexity of quicksort?
Q15 How does the space complexity of an iterative solution compare to a recursive solution for the same problem?
Iterative solutions always use more space
Recursive solutions always use more space
Depends on the specific problem
They use the same amount of space
Q16 What is the time complexity of the following code snippet? for i in range(n): print(i)
Q17 Given the code for i in range(n): for j in range(n): print(i, j), what is the time complexity?
Q18 Analyze the time complexity of the following function: def func(n): if n <= 1: return else func(n/2) + func(n/2)
Q19 An algorithm that should run in O(n log n) time complexity runs significantly slower. The likely cause is:
Incorrect base case in recursion
Excessive memory allocation
Poor choice of pivot in sorting
Q20 A function designed to be O(n) complexity takes longer as n increases. What might be overlooked?
Nested loops
Constant factors
Linear operations
Q21 A recursive algorithm expected to have a time complexity of O(log n) is running slower. The likely issue is:
Not halving the input on each recursive call
Incorrect termination condition
Stack overflow
Q22 Which data structure should be used to store a collection of characters in a sequence?
Q23 What is the time complexity of accessing an element in an array by its index?
Q24 Which of the following is NOT a valid reason to use a string builder in Java instead of concatenating strings using the + operator?
It reduces memory usage
It is faster for concatenating multiple strings
It is immutable
It can be used in multi-threaded environments
Q25 In an unsorted array of integers, what is the best time complexity achievable for searching for a specific value?
Q26 Considering a character array representing a string, what is the space complexity for storing this string?
Q27 Which operation has a worse time complexity in a dynamic array when it needs to expand its size?
Accessing an element by index
Appending an element at the end
Inserting an element at the beginning
Searching for an element
Q28 What does the following Python code snippet return? arr = ['a', 'b', 'c', 'd']; print(arr[1:3])
['b', 'c', 'd']
Q29 Given an array of integers, which of the following operations will NOT mutate the original array in JavaScript?
arr.push(5)
[...arr, 5]
Q30 What is the result of concatenating two arrays in Python using the + operator, arr1 = [1, 2, 3] and arr2 = [4, 5, 6]?
A new array [1, 2, 3, 4, 5, 6]
The original arrays are mutated to include the elements of the other
A syntax error
For Solo Learner Computer science
Algorithm and flowchart multiple choice questions and answers (mcqs).
Home » Computer Science MCQs Sets » Algorithm and Flowchart Multiple Choice Questions And Answers (MCQs)
When practicing Algorithm Flowchart and Control Structure multiple-choice questions (MCQs), students should focus on the following aspects:
1. Understanding concepts:
2. syntax and notation:, 3. identifying correct solutions:, 4. analyzing code behavior:, 5. problem-solving skills:, 6. time complexity and efficiency:.
By practicing these aspects, students can develop a strong foundation in algorithm flowcharts and control structures, which are essential for understanding and designing efficient algorithms. Additionally, practicing MCQs helps students improve their analytical and problem-solving skills, which are valuable in various programming and algorithmic scenarios.
Algorithm and Flowcharts MCQs Set-1
This Algorithm and Flowcharts MCQs contains a carefully curated selection of objective questions, as well as multiple choice questions with answers, sourced from reputable reference Read More »
Algorithm and Flowcharts MCQs Set-2
This Algorithm and Flowcharts MCQs contains a carefully curated selection of objective questions, as well as multiple choice questions with answers, sourced from reputable reference books, university exams, and question papers. These resources are invaluable for individuals preparing for university exams,competitive exams and interviews
Algorithm and Flowcharts MCQs Set-3
Algorithm and flowcharts mcqs set-4, algorithm and flowcharts mcqs set-5, algorithm and flowcharts mcqs set-6, algorithm and flowcharts mcqs set-7, algorithm and flowcharts mcqs set-8.
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Artificial Intelligence MCQ – Problem-Solving Agents
Here are 25 multiple-choice questions (MCQs) related to Artificial Intelligence, focusing specifically on Problem-Solving Agents. Each question includes four options, the correct answer, and a brief explanation. These MCQ questions cover various aspects of AI problem-solving agents, including algorithms, search strategies, optimization techniques, and problem-solving methods, providing a comprehensive overview of this area in AI.
1. What is the primary objective of a problem-solving agent in AI?
Explanation:.
A problem-solving agent is designed to find a sequence of actions that leads from the initial state to a goal state, solving a specific problem or achieving a set goal.
2. In AI, a heuristic function is used in problem-solving to:
A heuristic function is used to guide the search process by providing an educated guess about the cost to reach the goal from each node, thus helping to efficiently reduce the search space.
3. Which algorithm is commonly used for pathfinding in AI?
The A* Algorithm is widely used for pathfinding and graph traversal. It efficiently finds the shortest path between two nodes in a graph, combining the features of uniform-cost search and greedy best-first search.
4. What is "backtracking" in AI problem-solving?
Backtracking involves going back to previous states and trying different actions when the current path does not lead to a solution, allowing for exploring alternative solutions.
5. The "branch and bound" technique in AI is used to:
Branch and bound is an algorithmic technique used for solving various optimization problems. It systematically enumerates candidate solutions by branching and then uses a bounding function to eliminate suboptimal solutions.
6. Which of the following is a characteristic of a depth-first search algorithm?
Depth-first search explores as far as possible along each branch before backtracking, going deep into a search tree before exploring siblings of earlier nodes.
7. In AI, "constraint satisfaction problems" are typically solved using:
Constraint satisfaction problems, where a set of constraints must be met, are commonly solved using backtracking algorithms, which incrementally build candidates to the solutions and abandon candidates as soon as they determine that the candidate cannot possibly be completed to a valid solution.
8. The primary goal of "minimax" algorithm in AI is:
The minimax algorithm is used in decision-making and game theory to minimize the possible loss for a worst-case scenario. When dealing with gains, it seeks to maximize the minimum gain.
9. What is "state space" in AI problem-solving?
The state space in AI problem-solving refers to the set of all possible states that can be reached from the initial state by applying a sequence of actions. It is often represented as a graph.
10. In AI, "pruning" in the context of search algorithms refers to:
Pruning in search algorithms involves eliminating paths that are unlikely to lead to the goal or are less optimal, thus reducing the search space and improving efficiency.
11. The "traveling salesman problem" in AI is an example of:
The traveling salesman problem is a classic optimization problem in AI and computer science, where the goal is to find the shortest possible route that visits a set of locations and returns to the origin.
12. "Greedy best-first search" in AI prioritizes:
Greedy best-first search is a search algorithm that prioritizes nodes that seem to be leading to a solution the quickest, often using a heuristic to estimate the cost from the current node to the goal.
13. In AI, "dynamic programming" is used to:
Dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems. It is used when the subproblems are overlapping and the problem exhibits the properties of optimal substructure.
14. The "Monte Carlo Tree Search" algorithm in AI is widely used in:
Monte Carlo Tree Search (MCTS) is an algorithm used for making decisions in some kinds of game-playing, particularly where it is impractical to search all possible moves due to the complexity of the game.
15. What does an "admissible heuristic" in AI guarantee?
An admissible heuristic is one that never overestimates the cost to reach the goal. In heuristic search algorithms, using an admissible heuristic guarantees finding an optimal solution.
16. The concept of "hill climbing" in AI problem solving is similar to:
Hill climbing in AI is a mathematical optimization technique which belongs to the family of local search. It is used to solve computational problems by continuously moving in the direction of increasing elevation or value.
17. The "no free lunch theorem" in AI implies that:
The "no free lunch" theorem states that no one algorithm works best for every problem. It implies that each problem needs to be approached uniquely and that there's no universally superior method.
18. In AI, "means-ends analysis" is a technique used in:
Means-ends analysis is a problem-solving technique used in AI that involves breaking down the difference between the current state and the goal state into smaller and smaller differences, then achieving those smaller goals.
19. The "Pigeonhole principle" in AI is used to:
In AI and mathematics, the Pigeonhole principle is used to prove that a solution exists under certain conditions. It states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.
20. "Simulated annealing" in AI is inspired by:
Simulated annealing is an optimization algorithm that mimics the process of annealing in metallurgy. It involves heating and controlled cooling of a material to increase the size of its crystals and reduce their defects.
21. In AI, the "Bellman-Ford algorithm" is used for:
The Bellman-Ford algorithm is an algorithm that computes shortest paths from a single source vertex to all of the other vertices in a weighted graph. It's particularly useful for graphs where edge weights may be negative.
22. What is the primary function of "Alpha-Beta pruning" in AI?
Alpha-Beta pruning is a search algorithm that seeks to decrease the number of nodes that are evaluated by the minimax algorithm in its search tree. It is used in game playing to prune away branches that cannot possibly influence the final decision.
23. The "Hungarian algorithm" in AI is best suited for solving:
The Hungarian algorithm, a combinatorial optimization algorithm, is used for solving assignment problems where the goal is to assign resources or tasks to agents in the most effective way.
24. In problem-solving, "depth-limited search" is used to:
Depth-limited search is a modification of depth-first search, where the search is limited to a specific depth. This prevents the algorithm from going down infinitely deep paths and helps manage the use of memory.
25. "Bidirectional search" in AI problem solving is used to:
Bidirectional search is an efficient search strategy that runs two simultaneous searches: one forward from the initial state and the other backward from the goal, stopping when the two meet. This approach can drastically reduce the amount of required exploration.
Related MCQ (Multiple Choice Questions) :
Artificial intelligence mcq – agents, artificial intelligence mcq – natural language processing, artificial intelligence mcq – partial order planning, artificial intelligence mcq – expert systems, artificial intelligence mcq – fuzzy logic, artificial intelligence mcq – neural networks, artificial intelligence mcq – robotics, artificial intelligence mcq – rule-based system, artificial intelligence mcq – semantic networks, artificial intelligence mcq – bayesian networks, artificial intelligence mcq – alpha beta pruning, artificial intelligence mcq – text mining, leave a comment cancel reply.
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410+ Design and Analysis of Algorithms Solved MCQs
1. | |
A. | switch case |
B. | loop |
C. | if-else |
D. | if elif else |
Answer» B. loop | |
Explanation: recursion is similar to a loop. |
2. | |
A. | larger instances of different problems |
B. | larger instances of the same problem |
C. | smaller instances of the same problem |
D. | smaller instances of different problems |
Answer» C. smaller instances of the same problem | |
Explanation: in recursion, the solution of a problem depends on the solution of smaller instances of the same problem. |
3. | |
A. | factorial of a number |
B. | nth fibonacci number |
C. | length of a string |
D. | problems without base case |
Answer» D. problems without base case | |
Explanation: problems without base case leads to infinite recursion call. in general, we will assume a base case to avoid infinite recursion call. problems like finding factorial of a number, nth fibonacci number and |
4. | |
A. | recursion |
B. | iteration |
Answer» A. recursion | |
Explanation: the function counts the number of vowels in a string. in this case the number is vowels is 6. |
5. | |
A. | fact(n) = n * fact(n) |
B. | fact(n) = n * fact(n+1) |
C. | fact(n) = n * fact(n-1) |
D. | fact(n) = n * fact(1) |
Answer» C. fact(n) = n * fact(n-1) | |
Explanation: fact(n) = n * fact(n – 1) can be used to find the factorial of a number. |
6. | |
A. | 5 |
B. | 6 |
C. | 7 |
D. | 8 |
Answer» A. 5 | |
Explanation: the sixth fibonnaci number is |
7. | |
A. | 8 |
B. | 21 |
C. | 55 |
D. | 14 |
Answer» D. 14 | |
Explanation: 14 is not a fibonnaci number. |
8. | |
A. | fibonacci number can be calculated by using dynamic programming |
B. | fibonacci number can be calculated by using recursion method |
C. | fibonacci number can be calculated by using iteration method |
D. | no method is defined to calculate fibonacci number |
Answer» D. no method is defined to calculate fibonacci number | |
Explanation: fibonacci number can be calculated by using dynamic programming, recursion method, iteration method. |
9. | |
A. | f(n) = f(n) + f(n – 1) |
B. | f(n) = f(n) + f(n + 1) |
C. | f(n) = f(n – 1) |
D. | f(n) = f(n – 1) + f(n – 2) |
Answer» D. f(n) = f(n – 1) + f(n – 2) | |
Explanation: the relation f(n) = f(n – 1) + f(n – 2) can be used to find the nth fibonacci number. |
10. | |
A. | nc2 |
B. | (n-1)c2 |
C. | (n+1)c2 |
D. | (n+2)c2 |
Answer» C. (n+1)c2 | |
Explanation: the sum of first n natural numbers is given by n*(n+1)/2, which is equal to (n+1)c2. |
11. | |
A. | 24 |
B. | 2 |
C. | 3 |
D. | 16 |
Answer» D. 16 | |
Explanation: as a * b = gcd (a, b) * lcm (a, b). so b = (144 * 8)/72 = 16. |
12. | |
A. | highest common divisor |
B. | highest common multiple |
C. | highest common measure |
D. | lowest common multiple |
Answer» A. highest common divisor | |
Explanation: gcm (greatest common measure), gcf (greatest common factor), hcf (highest common factor) and hcf (highest common divisor) are also known as gcd. |
13. | |
A. | 54 and 24 |
B. | 4 and 8 |
C. | 6 and 12 |
D. | 9 and 28 |
Answer» D. 9 and 28 | |
Explanation: coprime numbers have gcd 1. so 9 and 28 are coprime numbers. while 54 |
14. | |
A. | multiplication of a u b terms |
B. | multiplication of a ꓵ b terms |
C. | multiplication of a*b terms |
D. | multiplication of a-b terms |
Answer» B. multiplication of a ꓵ b terms | |
Explanation: in terms of venn diagram, the gcd is given by the intersection of two sets. so a ꓵ b gives the gcd. while a u b gives the lcm. |
15. | |
A. | 2 |
B. | 3 |
C. | 5 |
D. | 6 |
Answer» C. 5 | |
Explanation: in terms of venn diagram, the gcd is given by the intersection of two sets. so a ꓵ b gives the gcd. while a u b gives the lcm. so here a ꓵ b is 5. |
16. | |
A. | a + b |
B. | gcd (a-b, b) if a>b |
C. | gcd (a+b, a-b) |
D. | a – b |
Answer» B. gcd (a-b, b) if a>b | |
Explanation: as per euclid’s algorithm, gcd (a, b) = gcd (a-b, b) if a > b or gcd (a, b) = gcd (a, b-a) if b > a. |
17. | |
A. | 24 |
B. | 2 |
C. | 3 |
D. | 6 |
Answer» D. 6 | |
Explanation: gcd is largest positive integer that divides each of the integer. so the gcd of 48, 18, 0 is 6. |
18. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: coprime numbers have gcd 1. so 9 and 28 are coprime numbers. |
19. | |
A. | bezout’s identity |
B. | multiplicative identity |
C. | sum of product |
D. | product of sum |
Answer» A. bezout’s identity | |
Explanation: if gcd (a, b) is defined by the expression, d=a*p + b*q where d, p, q are positive integers and a, b is both not zero, then the expression is called bezout’s identity and p, q can be calculated by extended form of euclidean algorithm. |
20. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: the gcd function is an associative function as gcd (a, gcd (b, c)) = gcd (gcd (a, b), c). |
21. | |
A. | james e. nymann |
B. | riemann |
C. | thomae |
D. | euler |
Answer» A. james e. nymann | |
Explanation: in the year 1972, james e. nymann showed some result to show the probability and expected value of gcd. |
22. | |
A. | o (log a + log b)2) |
B. | o (log (a + b)) |
C. | o (log ab) |
D. | o (log a-b) |
Answer» A. o (log a + log b)2) | |
Explanation: from the binary gcd algorithm, it is found that the computational complexity is o (log a + log b)2) as the total number of steps in the execution is at most the total sum of number of bits of a and b. |
23. | |
A. | gcd |
B. | scm |
C. | gcf |
D. | hcf |
Answer» B. scm | |
Explanation: gcd (greatest common divisor), gcf (greatest common factor), hcf (highest common factor) is not an alias for lcm. lcm is also called as smallest common multiple(scm). |
24. | |
A. | 8 |
B. | 12 |
C. | 20 |
D. | 104 |
Answer» D. 104 | |
Explanation: 104 is the smallest positive integer that is divisible by both 8 and 12. |
25. | |
A. | 100 |
B. | 102 |
C. | 116 |
D. | 104 |
Answer» D. 104 | |
Explanation: lcm of 2, 4, 8 is 8. so check for the number that is divisible by 8. so 104 is the smallest number that is divisible by 2, 4, 8. |
26. | |
A. | lowest common divisor |
B. | least common multiple |
C. | lowest common measure |
D. | highest common multiple |
Answer» A. lowest common divisor | |
Explanation: least common multiple is also known as lcm or lowest common multiple. |
27. | |
A. | 1 |
B. | 0 |
C. | addition of two coprime numbers |
D. | multiplication of two coprime numbers |
Answer» D. multiplication of two coprime numbers | |
Explanation: coprime numbers have gcd 1. while lcm of coprime numbers is the product of those two coprime numbers. |
28. | |
A. | multiplication of a u b terms |
B. | multiplication of a ꓵ b terms |
C. | multiplication of a*b terms |
D. | multiplication of a-b terms |
Answer» A. multiplication of a u b terms | |
Explanation: in terms of venn diagram, the lcm is given by the union of two sets. so a u b gives the lcm. while a ꓵ b gives the gcd. |
29. | |
A. | 2 |
B. | 3 |
C. | 180 |
D. | 6 |
Answer» C. 180 | |
Explanation: in terms of venn diagram, the lcm is given by the union of two sets. so a u b gives the lcm. so product of all the terms is 180. |
30. | |
A. | a + b |
B. | gcd (a-b, b) if a>b |
C. | lcm (b, a) |
D. | a – b |
Answer» C. lcm (b, a) | |
Explanation: since the lcm function is commutative, so lcm (a, b) = lcm (b, a). |
31. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: coprime numbers have gcd 1 |
32. | |
A. | lcm (a, b, c) |
B. | a*b*c |
C. | a + b + c |
D. | lcm (lcm (a, b), c) |
Answer» D. lcm (lcm (a, b), c) | |
Explanation: since lcm function follows associativity, hence lcm (a, lcm (b, c) is equal to lcm (lcm (a, b), c). |
33. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: the lcm function is an associative function as lcm (a, lcm (b, c) is equal to lcm (lcm (a, b), c). |
34. | |
A. | a |
B. | b |
C. | a*b |
D. | a + b |
Answer» A. a | |
Explanation: since the lcm function follows absorption laws so lcm (a, gcd (a, b)) equal to a. |
35. | |
A. | euler’s algorithm |
B. | euclid’s algorithm |
C. | chebyshev function |
D. | partial division algorithm |
Answer» B. euclid’s algorithm | |
Explanation: the most efficient way of calculating the lcm of a given number is using euclid’s algorithm which computes the lcm in much lesser time compared to other algorithms. |
36. | |
A. | recursion |
B. | iteration |
C. | greedy algorithm |
D. | both recursion and iteration |
Answer» D. both recursion and iteration | |
Explanation: both recursion and iteration can be used to find the sum of digits of a number. |
37. | |
A. | 1 |
B. | 16 |
C. | 36 |
D. | 26 |
Answer» C. 36 | |
Explanation: the sum of digits will be maximum when all the digits are 9. thus, the sum will be maximum for the number 9999, which is 36. |
38. | |
A. | 0 |
B. | 1 |
C. | 16 |
D. | 36 |
Answer» B. 1 | |
Explanation: the sum of digits will be minimum for the number 1000 and the sum is 1. |
39. | |
A. | copies a string to another string |
B. | compares two strings |
C. | reverses a string |
D. | checks if a string is a palindrome |
Answer» D. checks if a string is a palindrome | |
Explanation: the main purpose of the above code is to check if a string is a palindrome. |
40. | |
A. | 1010010 |
B. | 1110000 |
C. | 1100100 |
D. | 1010101 |
Answer» C. 1100100 | |
Explanation: 100 = 64 + 32 + 4 = 26 + 25 + |
41. | |
A. | o(1) |
B. | o(n) |
C. | o(n2) |
D. | o(n3) |
Answer» B. o(n) | |
Explanation: the time complexity of the above recursive implementation used to |
42. | |
A. | o(n) |
B. | o(n2) |
C. | o(n3) |
D. | o(n!) |
Answer» C. o(n3) | |
Explanation: the time complexity of recursive multiplication of two square matrices by the divide and conquer method is found to be o(n3) since there are total of 8 recursive calls. |
43. | |
A. | 5 |
B. | 7 |
C. | 8 |
D. | 4 |
Answer» B. 7 | |
Explanation: for the multiplication two square matrix recursively using strassen’s method, there are 7 recursive calls performed for high time complexity. |
44. | |
A. | 12 |
B. | 15 |
C. | 16 |
D. | 20 |
Answer» B. 15 | |
Explanation: the resultant matrix will be of order 3*5 when multiplied recursively and therefore the matrix will have 3*5=15 elements. |
45. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: given that b=c, so the two matrix can be recursively multiplied. |
46. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: since the coppersmith- winograd algorithm multiplies the matrices in o(n2.37) time. the time complexity of recursive multiplication of two square matrices by strassen’s method is found to be o(n2.80). therefore, coppersmith-winograd |
47. | |
A. | pop operation removes the top most element |
B. | pop operation removes the bottom most element |
C. | push operation adds new element at the bottom |
D. | push operation removes the top most element |
Answer» A. pop operation removes the top most element | |
Explanation: as stack is based on lifo(last in first out) principle so the deletion takes place from the topmost element. thus pop operator removes topmost element. |
48. | |
A. | o(1) |
B. | o(log n) |
C. | o(n) |
D. | o(n log n) |
Answer» C. o(n) | |
Explanation: the recursive program to reverse stack uses memory of the order n to store function call stack. |
49. | |
A. | using recursion |
B. | using linked list to implement stack |
C. | using an extra stack |
D. | it is not possible |
Answer» B. using linked list to implement stack | |
Explanation: if linked list is used for implementing stack then it can be reversed without using any extra space. |
50. | |
A. | last node |
B. | first node |
C. | random node |
D. | middle node |
Answer» B. first node | |
Explanation: first node is considered as the top element when stack is implemented using linked list. |
51. | |
A. | o(n) |
B. | o(n log n) |
C. | o(n2) |
D. | o(log n) |
Answer» A. o(n) | |
Explanation: as a linked list takes o(n) time for getting reversed thus linked list version of stack will also take the same time. |
52. | |
A. | pop |
B. | push |
C. | isempty |
D. | pop, push and isempty takes constant time |
Answer» D. pop, push and isempty takes constant time | |
Explanation: functions pop, push and isempty all are implemented in constant time in worst case. |
53. | |
A. | o(n) |
B. | o(n log n) |
C. | o(log n) |
D. | o(n2) |
Answer» D. o(n2) | |
Explanation: the recurrence relation for the recursive code to reverse stack will be given by-t(n)=t(n-1)+n.this is calculated to be equal to o(n2). |
54. | |
A. | bubble sort |
B. | selection sort |
C. | insertion sort |
D. | stupid sort |
Answer» B. selection sort | |
Explanation: selection sort is not an adaptive sorting algorithm. it finds the index of minimum element in each iteration even if the |
55. | |
A. | its has low time complexity |
B. | it has low space complexity |
C. | it is easy to implement |
D. | it requires only n swaps under any condition |
Answer» D. it requires only n swaps under any condition | |
Explanation: selection sort works by obtaining least value element in each iteration and then swapping it with the current index. so it will take n swaps under any condition which will be useful when memory write operation is expensive. |
56. | |
A. | t(n) = 2t(n/2) + n |
B. | t(n) = 2t(n/2) + c |
C. | t(n) = t(n-1) + n |
D. | t(n) = t(n-1) + c |
Answer» C. t(n) = t(n-1) + n | |
Explanation: function to find the minimum element index takes n time.the recursive call is made to one less element than in the previous call so the overall recurrence relation becomes t(n) = t(n-1) + n. |
57. | |
A. | selection sort |
B. | brick sort |
C. | bubble sort |
D. | merge sort |
Answer» A. selection sort | |
Explanation: out of the given options selection sort is the only algorithm which is not stable. it is because the order of identical elements in sorted output may be different from input array. |
58. | |
A. | o(n) |
B. | o(n2) |
C. | o(log n) |
D. | o(n log n) |
Answer» B. o(n2) | |
Explanation: selection sort’s algorithm is such that it finds the index of minimum element in each iteration even if the given array is already sorted. thus its best case time complexity becomes o(n2). |
59. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: in selection sort we need to compare elements in order to find the minimum element in each iteration. so we can say that it uses comparisons in order to sort the array. thus it qualifies as a comparison based sort. |
60. | |
A. | o(n) |
B. | o(n log n) |
C. | o(n2) |
D. | o(log n) |
Answer» C. o(n2) | |
Explanation: the overall recurrence relation of recursive selection sort is given by t(n) = t(n-1) + n. it is found to be equal to o(n2). it is unvaried throughout the three cases. |
61. | |
A. | cocktail sort |
B. | bogo sort |
C. | gnome sort |
D. | bubble sort |
Answer» A. cocktail sort | |
Explanation: a bidirectional variant of selection sort is called cocktail sort. it’s an algorithm which finds both the minimum and maximum values in the array in every pass. |
62. | |
A. | recursion |
B. | iteration |
C. | both recursion and iteration |
D. | no method is suitable |
Answer» C. both recursion and iteration | |
Explanation: both recursion and iteration can be used to find the largest and smallest element in an array. |
63. | |
A. | 0 |
B. | 1 |
C. | 2 |
D. | 3 |
Answer» C. 2 | |
Explanation: the first swap takes place between 1 and 5. the second swap takes place between 3 and 2 which sorts our array. |
64. | |
A. | recursion |
B. | iteration |
C. | both recursion and iteration |
D. | impossible to find the largest and smallest numbers |
Answer» C. both recursion and iteration | |
Explanation: both recursion and iteration can be used to find the largest and smallest |
65. | |
A. | iterative linear search |
B. | recursive binary search |
C. | iterative binary search |
D. | normal binary search |
Answer» A. iterative linear search | |
Explanation: iterative linear search can be used to search an element in an unsorted array. |
66. | |
A. | iterative linear search can be used to search for the elements in the given array |
B. | recursive linear search can be used to search for the elements in the given array |
C. | recursive binary search can be used to search for the elements in the given array |
D. | no method is defined to search for an element in the given array |
Answer» D. no method is defined to search for an element in the given array | |
Explanation: iterative linear search, recursive linear search and recursive binary search can be applied to search for an element in the above given array. |
67. | |
A. | o(n) |
B. | o(2n) |
C. | o(logn) |
D. | o(n!) |
Answer» C. o(logn) | |
Explanation: the time complexity of the above recursive implementation of binary search is o(logn). |
68. | |
A. | iterative linear search |
B. | iterative binary search |
C. | recursive binary search |
D. | normal binary search |
Answer» A. iterative linear search | |
Explanation: iterative linear search can be used to search an element in a linked list. |
69. | |
A. | no |
B. | yes |
Answer» A. no | |
Explanation: since linked list doesn’t allow random access, binary search cannot be applied on a sorted linked list in o(logn) |
70. | |
A. | dynamic programming |
B. | backtracking |
C. | divide and conquer |
D. | greedy algorithm |
Answer» C. divide and conquer | |
Explanation: the recursive approach uses divide and conquer algorithm as we break the problem into smaller parts and then solve the smaller parts and finally combine their results to get the overall solution. |
71. | |
A. | o(x) |
B. | o(y) |
C. | o(log x) |
D. | o(log y) |
Answer» D. o(log y) | |
Explanation: we can optimize the code for finding power of a number by calculating x raised to power y/2 only once and using it depending on whether y is even or odd. |
72. | |
A. | iterative code requires less time |
B. | iterative code requires less space |
C. | iterative code is more compiler friendly |
D. | it has no advantage |
Answer» B. iterative code requires less space | |
Explanation: both iterative and recursive approach can be implemented in log n time but the recursive code requires memory in call stack which makes it less preferable. |
73. | |
A. | true |
B. | false |
Answer» B. false | |
Explanation: the recursive code requires memory in call stack which makes it less preferable as compared to iterative approach. |
74. | |
A. | to move all disks to some other rod by following rules |
B. | to divide the disks equally among the three rods by following rules |
C. | to move all disks to some other rod in random order |
D. | to divide the disks equally among three rods in random order |
Answer» A. to move all disks to some other rod by following rules | |
Explanation: objective of tower of hanoi problem is to move all disks to some other rod by following the following rules-1) only one disk can be moved at a time. 2) disk can |
75. | |
A. | t(n) = 2t(n-1)+n |
B. | t(n) = 2t(n/2)+c |
C. | t(n) = 2t(n-1)+c |
D. | t(n) = 2t(n/2)+n |
Answer» C. t(n) = 2t(n-1)+c | |
Explanation: as there are 2 recursive calls to n-1 disks and one constant time operation so the recurrence relation will be given by t(n) |
76. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: iterative solution to tower of hanoi puzzle also exists. its approach depends on whether the total numbers of disks are even or odd. |
77. | |
A. | 15 seconds |
B. | 30 seconds |
C. | 16 seconds |
D. | 32 seconds |
Answer» B. 30 seconds | |
Explanation: number of moves = 24-1=16- 1=15 |
78. | |
A. | solving recurrences |
B. | solving iterative relations |
C. | analysing loops |
D. | calculating the time complexity of any code |
Answer» A. solving recurrences | |
Explanation: master’s theorem is a direct method for solving recurrences. we can solve any recurrence that falls under any one of the three cases of master’s theorem. |
79. | |
A. | 2 |
B. | 3 |
C. | 4 |
D. | 5 |
Answer» B. 3 | |
Explanation: there are primarily 3 cases under master’s theorem. we can solve any recurrence that falls under any one of these three cases. |
80. | |
A. | none of the below |
B. | t(n) = o(nc log n) |
C. | t(n) = o(f(n)) |
D. | t(n) = o(n2) |
Answer» B. t(n) = o(nc log n) | |
Explanation: in second case of master’s theorem the necessary condition is that c = logba. if this condition is true then t(n) = o(nc log n) |
81. | |
A. | none of the below |
B. | t(n) = o(nc log n) |
C. | t(n) = o(f(n)) |
D. | t(n) = o(n2) |
Answer» C. t(n) = o(f(n)) | |
Explanation: in third case of master’s theorem the necessary condition is that c > logba. if this condition is true then t(n) = o(f(n)). |
82. | |
A. | true |
B. | false |
Answer» B. false | |
Explanation: no we cannot solve all the recurrences by only using master’s theorem. we can solve only those which fall under the three cases prescribed in the theorem. |
83. | |
A. | 1 |
B. | 2 |
C. | 3 |
D. | it cannot be solved using master’s theorem |
Answer» B. 2 | |
Explanation: the recurrence relation of merge sort is given by t(n) = 2t(n/2) + o(n). so we can observe that c = logba so it will fall under case 2 of master’s theorem. |
84. | |
A. | 1 |
B. | 2 |
C. | 3 |
D. | it cannot be solved using master’s theorem |
Answer» A. 1 | |
Explanation: the recurrence relation of stooge sort is given as t(n) = 3t(2/3n) + o(1). it is found too be equal to o(n2.7) using master’s theorem first case. |
85. | |
A. | 1 |
B. | 2 |
C. | 3 |
D. | no case can be extended |
Answer» B. 2 | |
Explanation: the second case of master’s theorem can be extended for a case where f(n) |
86. | |
A. | none of the below |
B. | t(n) = o(nc log n) |
C. | t(n)= o(nc (log n)k+1 |
D. | t(n) = o(n2) |
Answer» C. t(n)= o(nc (log n)k+1 | |
Explanation: in the extended second case of master’s theorem the necessary condition is that c = logba. if this condition is true then t(n)= o(nc(log n))k+1. |
87. | |
A. | 1 |
B. | 2 |
C. | 3 |
D. | it cannot be solved using master’s theorem |
Answer» B. 2 | |
Explanation: the recurrence relation of binary search is given by t(n) = t(n/2) + o(1). so we can observe that c = logba so it will fall under case 2 of master’s theorem. |
88. | |
A. | t(n) = o(n) |
B. | t(n) = o(log n) |
C. | t(n) = o(n2log n) |
D. | cannot be solved using master’s theorem |
Answer» D. cannot be solved using master’s theorem | |
Explanation: the given recurrence cannot be solved by using the master’s theorem. it is because in this recurrence relation a < 1 so master’s theorem cannot be applied. |
89. | |
A. | o(n) |
B. | o(n*m) |
C. | o(m) |
D. | o(log n) |
Answer» C. o(m) | |
Explanation: kmp algorithm is an efficient pattern searching algorithm. it has a time complexity of o(m) where m is the length of text. |
90. | |
A. | o(n + m) |
B. | o(m) |
C. | o(n) |
D. | o(m * n) |
Answer» A. o(n + m) | |
Explanation: z algorithm is an efficient pattern searching algorithm as it searches the pattern in linear time. it has a time complexity of o(m + n) where m is the length of text and n is the length of the pattern. |
91. | |
A. | o(n + m) |
B. | o(m) |
C. | o(n) |
D. | o(m * n) |
Answer» B. o(m) | |
Explanation: z algorithm is an efficient pattern searching algorithm as it searches the pattern in linear time. it an auxiliary space of o(m) for maintaining z array. |
92. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: the auxiliary space complexity required by naive pattern searching algorithm is o(1). so it qualifies as an in place algorithm. |
93. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: the worst case time complexity of rabin karp algorithm is o(m*n) but it has a linear average case time complexity. so rabin karp and naive pattern searching algorithm have the same worst case time complexity. |
94. | |
A. | merge sort |
B. | quick sort |
C. | insertion sort |
D. | shell sort |
Answer» B. quick sort | |
Explanation: quick sort is the fastest known sorting algorithm because of its highly optimized inner loop. |
95. | |
A. | true |
B. | false |
Answer» A. true | |
Explanation: in quick sort, the array is divided into sub-arrays and then it is sorted (divide-and-conquer strategy). |
96. | |
A. | o(n) |
B. | o(n log n) |
C. | o(n2) |
D. | o(log n) |
Answer» C. o(n2) | |
Explanation: the worst case performance of a quick sort algorithm is mathematically found to be o(n2). |
97. | |
A. | first element |
B. | last element |
C. | median-of-three partitioning |
D. | random element |
Answer» C. median-of-three partitioning | |
Explanation: median-of-three partitioning is the best method for choosing an appropriate pivot element. picking a first, last or random element as a pivot is not much effective. |
98. | |
A. | choosing a random element as pivot |
B. | choosing the first element as pivot |
C. | choosing the last element as pivot |
D. | median-of-three partitioning method |
Answer» A. choosing a random element as pivot | |
Explanation: this is the safest method to choose the pivot element since it is very unlikely that a random pivot would consistently provide a poor partition. |
99. | |
A. | o(n2) |
B. | o(n) |
C. | o(n log n) |
D. | o(log n) |
Answer» C. o(n log n) | |
Explanation: the best case and average case analysis of a quick sort algorithm are mathematically found to be o(n log n). |
100. | |
A. | merge sort |
B. | shell sort |
C. | insertion sort |
D. | bubble sort |
Answer» C. insertion sort | |
Explanation: insertion sort is used along with quick sort to sort the sub arrays. |
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Top 50 Data Structures MCQs with Answers
Which of the following sorting algorithms can be used to sort a random linked list with minimum time complexity?
Insertion Sort
In the worst case, the number of comparisons needed to search a singly linked list of length n for a given element is (GATE CS 2002)
log(2*n) -1
Let P be a singly linked list. Let Q be the pointer to an intermediate node x in the list. What is the worst-case time complexity of the best known algorithm to delete the node Q from the list?
What is the worst case time complexity of inserting n elements into an empty linked list, if the linked list needs to be maintained in sorted order ?
Consider the following conditions:
(a)The solution must be feasible, i.e. it must satisfy all the supply and demand constraints.
(b)The number of positive allocations must be equal to m1n21, where m is the number of rows and n is the number of columns.
(c)All the positive allocations must be in independent positions.
The initial solution of a transportation problem is said to be non-degenerate basic feasible solution if it satisfies: Codes:
(a) and (b) only
(a) and (c) only
(b) and (c) only
(a), (b) and (c)
- In push operation, if new nodes are inserted at the beginning of linked list, then in pop operation, nodes must be removed from end.
- In push operation, if new nodes are inserted at the end, then in pop operation, nodes must be removed from the beginning.
- Both of the above
- None of the above
- Managing function calls
- The stock span problem
- Arithmetic expression evaluation
- All of the above
Question 10
There are 50 questions to complete.
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Quiz about Top 50 Algorithms MCQs with Answers
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Here are 50 multiple-choice questions (MCQs) on the fundamentals of algorithms and problem-solving, along with their answers and explanations.These questions continue to cover various aspects of algorithms, graph theory, problem-solving strategies, and their applications,providing a comprehensive overview of these fundamental concepts.
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Algorithms Solved MCQs. 1. The word comes from the name of a Persian mathematician Abu Ja'far Mohammed ibn-i Musa al Khowarizmi. Explanation: the word algorithm comes from the name of a persian mathematician abu ja'far mohammed ibn-i musa al khowarizmi. 2.
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product of sum. Answer» A. bezout's identity. Explanation: if gcd (a, b) is defined by the expression, d=a*p + b*q where d, p, q are positive integers and a, b is both not zero, then the expression is called bezout's identity and p, q can be calculated by extended form of euclidean algorithm. discuss. 20.
Top MCQs on Complexity Analysis using Recurrence Relations with Answers. Backtracking Algorithm. Top MCQs on Backtracking Algorithm with Answers. Dynamic Programming. Top MCQs on Dynamic Programming with Answers. Mathematical Algorithms. Quiz on Fibonacci Numbers. Quiz On Chessboard Problem. Bitwise Algorithms.
Algorithm and Problem Solving 3 C. Kruskal's algorithm D. Depth-first search (DFS) E. Bellman-Ford algorithm 5. A spanning tree of a graph is: A. A tree that spans all vertices and includes cycles B. A tree that spans all vertices and has the maximum number of edges C. A subgraph that is a tree and includes all the vertices of the graph D.
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