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