Algorithms
Algorithms
  • 1. Algorithms are step-by-step procedures or formulas for solving problems. They are a set of instructions that describe how to perform a task or solve a problem effectively. Algorithms are used in various fields such as computer science, mathematics, engineering, and more. They help in organizing data, making decisions, and automating processes. By designing efficient algorithms, we can optimize the use of resources, improve performance, and solve complex problems in a systematic way.

    Which sorting algorithm has a worst-case time complexity of O(n2)?
A) Bubble Sort
B) Heap Sort
C) Merge Sort
D) Quick Sort
  • 2. What data structure is typically used in a Depth-First Search (DFS) algorithm?
A) Queue
B) Binary Tree
C) Stack
D) Array
  • 3. Which algorithm is commonly used to find the shortest path in a graph with non-negative edge weights?
A) Prim's algorithm
B) Dijkstra's algorithm
C) A* search algorithm
D) Bellman-Ford algorithm
  • 4. What does the 'recursion' mean in the context of algorithms?
A) A function that has no return statement.
B) A function that generates random numbers.
C) A function that calls itself in a problem-solving process.
D) A function that iterates over a collection of elements.
  • 5. Which algorithm is used to find the transitive closure of a directed graph?
A) Tarjan's algorithm
B) Floyd's algorithm
C) Kosaraju's algorithm
D) Warshall's algorithm
  • 6. What is the term for the measure of how detailed the instructions are in an algorithm?
A) Complexity
B) Scalability
C) Efficiency
D) Granularity
  • 7. Which of the following is a divide and conquer algorithm?
A) Bubble Sort
B) Insertion Sort
C) Selection Sort
D) Merge Sort
  • 8. What is the process of making a repetitive sequence shorter by using previous occurrences called?
A) Burrows-Wheeler Transform
B) Differential Encoding
C) Run-Length Encoding
D) Huffman Coding
  • 9. What data structure is typically used in a Breadth-First Search algorithm?
A) Queue
B) Linked List
C) Heap
D) Stack
  • 10. Which algorithm can be used to find the maximum flow in a flow network?
A) Ford-Fulkerson algorithm
B) Binary Search algorithm
C) Bubble Sort
D) Depth-First Search
  • 11. What is the worst-case time complexity of the Quick Sort algorithm?
A) O(n log n)
B) O(n2)
C) O(n)
D) O(log n)
  • 12. What is the main advantage of the breadth-first search (BFS) algorithm over depth-first search (DFS)?
A) DFS uses less memory space.
B) BFS is easier to implement.
C) BFS guarantees the shortest path to the goal.
D) DFS finds the path more quickly.
  • 13. What is the primary goal of the Floyd-Warshall algorithm?
A) To determine the largest connected component in an undirected graph.
B) To calculate the maximum flow in a flow network.
C) To sort elements in ascending order.
D) To find the shortest paths between all pairs of vertices in a weighted graph.
  • 14. Which algorithm is used to find the longest common subsequence between two sequences?
A) Radix Sort
B) Longest Common Subsequence algorithm
C) Heap Sort
D) Selection Sort
  • 15. Who was the Persian scientist and polymath who wrote about algorithms in 825 AD?
A) Muḥammad ibn Mūsā al-Khwārizmī
B) John of Seville
C) Geoffrey Chaucer
D) Adelard of Bath
  • 16. What is the Latinized form of Al-Khwarizmi's name used in early translations?
A) augrym
B) algoritmi
C) arithmos
D) Algorism
  • 17. Which text by al-Khwārizmī is known as 'Book of Indian computation'?
A) Liber Alghoarismi de practica arismetrice
B) Liber Algoritmi de numero Indorum
C) The Canterbury Tales
D) kitāb al-ḥisāb al-hindī
  • 18. In what context are social media recommender systems often mistakenly called 'algorithms'?
A) They provide well-defined correct results for all users.
B) They rely on heuristics, not true algorithms.
C) They use deterministic processes to generate recommendations.
D) They are based on finite sequences of instructions.
  • 19. What is the role of conditionals in advanced algorithms?
A) They ensure that the algorithm always terminates.
B) They prevent automated reasoning.
C) They eliminate randomness from the algorithm.
D) They divert code execution through various routes.
  • 20. What does 'automated reasoning' refer to in the context of algorithms?
A) Deducing valid inferences through code execution.
B) Using heuristics to solve problems.
C) Following a fixed sequence of operations.
D) Generating random outputs without input.
  • 21. What is the significance of 'augrym stones' mentioned by Geoffrey Chaucer?
A) They were used for place-value calculation.
B) They were early computers.
C) They were a form of algorithmic programming.
D) They represented heuristic methods.
  • 22. In which ancient civilization were the earliest division algorithms recorded?
A) Chinese mathematics
B) Babylonian mathematics
C) Egyptian mathematics
D) Greek mathematics
  • 23. Which dynasty is associated with Babylonian clay tablets describing algorithms for computing formulas?
A) Akkadian dynasty
B) Assyrian dynasty
C) Neo-Babylonian dynasty
D) Hammurabi dynasty
  • 24. The Rhind Mathematical Papyrus is associated with which ancient civilization?
A) Greek mathematics
B) Indian mathematics
C) Egyptian mathematics
D) Babylonian mathematics
  • 25. Who developed the first cryptographic algorithm for deciphering encrypted code?
A) Nicomachus
B) Euclid
C) Al-Kindi
D) Muḥammad ibn Mūsā al-Khwārizmī
  • 26. Which algorithm design pattern involves defining a skeleton of an algorithm in a method?
A) Template method pattern
B) Decorator pattern
C) Dynamic programming
D) Divide-and-conquer
  • 27. Which invention was used worldwide by the mid-19th century?
A) Television
B) Radio
C) Telegraph
D) Telephone
  • 28. The Euclidean algorithm was first described in which ancient text?
A) Introduction to Arithmetic by Nicomachus
B) Euclid's Elements
C) Sulba Sutras
D) Algebra by Al-Khwarizmi
  • 29. Which invention led to the development of punch cards?
A) Telephone-switching network
B) Analytical engine
C) Telegraph
D) Jacquard loom
  • 30. What mechanism was key to the invention of weight-driven clocks in the Middle Ages?
A) Quartz oscillator
B) Balance wheel mechanism
C) Pendulum mechanism
D) Verge escapement mechanism
  • 31. Which problem-solving technique involves invoking itself repeatedly?
A) Recursion
B) Parallel processing
C) Serial execution
D) Iteration
  • 32. Which type of programming involves finding optimal solutions to a linear function with constraints?
A) Greedy method
B) Heuristic method
C) Dynamic programming
D) Linear programming
  • 33. Which approach involves building multiple solutions incrementally and abandoning them if they cannot lead to a valid full solution?
A) Reduction of complexity
B) Divide and conquer
C) Backtracking
D) Brute-force or exhaustive search
  • 34. Who invented the digital adding device in 1937?
A) Alan Turing
B) George Stibitz
C) Konrad Zuse
D) John von Neumann
  • 35. What is a common application of greedy algorithms in graph theory?
A) Simulating annealing processes.
B) Solving integer programming problems.
C) Finding minimal spanning trees.
D) Optimizing linear functions with constraints.
  • 36. Who began attempts to solve David Hilbert's Entscheidungsproblem in 1928?
A) David Hilbert
B) Emil Post
C) Alonzo Church
D) Alan Turing
  • 37. Which of the following is not a structured expression of algorithms that avoids common ambiguities of natural language?
A) Flowcharts
B) Drakon-charts
C) Pseudocode
D) Natural languages
  • 38. Who is credited with designing the first algorithm intended for a computer?
A) Herman Hollerith
B) George Stibitz
C) Ada Lovelace
D) Charles Babbage
  • 39. What is the subclass of Monte Carlo algorithms that runs in polynomial time?
A) P
B) RP
C) NP
D) ZPP
  • 40. What primary symbol in a flowchart represents decisions?
A) Rectangles
B) Dots
C) Diamonds
D) Arrows
  • 41. Which representation gives the exact state table and list of transitions for a Turing machine?
A) Control tables
B) High-level description
C) Formal description
D) Implementation description
  • 42. What method did Al-Kindi describe for cryptanalysis?
A) Frequency analysis
B) Transposition cipher
C) Substitution cipher
D) Caesar cipher
  • 43. What did NIST update in 2024 related to quantum computing?
A) Turing machines
B) SAINT program
C) Post-quantum encryption standards
D) Lambda calculus
  • 44. Which of these is NOT a canonical structure augmented by Tausworthe?
A) RECURSION
B) WHILE-DO
C) IF-THEN-ELSE
D) SEQUENCE
  • 45. Which library integrated the small sorting algorithms discovered by AlphaDev?
A) Python's built-in sort function
B) C# System.Linq
C) LLVM standard C++ sorting library
D) Java Collections Framework
  • 46. What does AlphaEvolve use to propose code changes?
A) Language models
B) Automated evaluators
C) Reinforcement learning
D) Human coders
  • 47. In flowchart representation, what does an arrow symbolize?
A) Decision point
B) Sub-structure nesting
C) Output
D) Program flow
  • 48. In what year was AlphaDev introduced by Google DeepMind?
A) 2019
B) 2023
C) 2020
D) 2025
  • 49. What does pseudocode typically represent in algorithm analysis?
A) A detailed implementation guide
B) A simple and general representation
C) A graphical aid like a flowchart
D) An optimized code for specific hardware
  • 50. Which heuristic algorithm is non-deterministic?
A) Prim's algorithm
B) Simulated annealing
C) Floyd–Warshall algorithm
D) Tabu search
  • 51. Which type of algorithms are inherently serial and cannot be parallelized?
A) Inherently serial problems
B) Non-deterministic algorithms
C) Distributed algorithms
D) Parallelizable algorithms
  • 52. Which AI system discovered improved sorting and hashing algorithms?
A) AlphaEvolve
B) AlphaDev
C) AlphaZero
D) DeepMind
  • 53. Which device is considered the first real Turing-complete computer?
A) Difference Engine
B) Z3
C) Babbage's analytical engine
D) ENIAC
  • 54. Which search algorithm is more efficient for sorted lists in terms of time complexity?
A) Bubble sort
B) Linear search
C) Binary search
D) Sequential search
  • 55. What is the open question known as that involves whether randomized algorithms with polynomial time complexity can be the fastest for some problems?
A) Las Vegas problem
B) P versus NP problem
C) Reduction of complexity problem
D) Monte Carlo problem
  • 56. Which design approach involves breaking a problem into smaller sub-problems?
A) Dynamic programming
B) Divide-and-conquer
C) Decorator pattern
D) Template method pattern
  • 57. What was a significant development in data storage and transmission around 1890?
A) Punch cards
B) Floppy disks
C) Hard drives
D) Magnetic tape
  • 58. Which formalization is associated with Alonzo Church and was introduced in 1936?
A) Formulation 1
B) Lambda calculus
C) Recursive functions
D) Turing machines
  • 59. Which AI development has inverted the traditional sequence of algorithm evolution from heuristics to formal algorithms?
A) Quantum computing
B) Transformer-based AI
C) NIST encryption standards
D) SAINT program
  • 60. Which invention in 1835 led to the development of telephone-switching networks?
A) Punch cards
B) Telegraph
C) Electromechanical relays
D) Difference engine
  • 61. What type of problems can be solved using the greedy method for minimal spanning trees?
A) Linear programming problems.
B) Problems with integer constraints.
C) Dynamic programming problems.
D) Graphs without negative cycles.
  • 62. What was the primary use of ticker tape developed in the 1870s?
A) Data transmission
B) Image printing
C) Text messaging
D) Audio recording
  • 63. Which century saw the use of accurate automatic machines leading to mechanical automata?
A) 19th century
B) 13th century
C) 17th century
D) 15th century
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