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Design and Analysis of Algorithms MCQs with Answers

Practice important Design and Analysis of Algorithms MCQs with answers and explanations.

Multiple Choice Questions

Q311: What type of problem is characterized by an output of "yes" or "no"?
  • A: Optimization problem
  • B: Decision problem
  • C: Graph problem
  • D: Polynomial problem
View Answer
B

Q312: In the fish tank problem, the goal is to find:
  • A: The smallest number of fish types
  • B: The largest tank size
  • C: The smallest number of tanks needed
  • D: The fastest way to clean tanks
View Answer
C

Q313: A unique Hamiltonian cycle can be verified by:
  • A: Listing all possible cycles
  • B: Showing a valid Hamiltonian cycle
  • C: Counting vertices
  • D: Showing it is not Hamiltonian
View Answer
B

Q314: What is the Independent Set Problem concerned with?
  • A: Adjacent vertices selection
  • B: Vertex coloring
  • C: Graph traversal
  • D: Shortest path calculation
View Answer
A

Q315: An independent set of size 4 implies _______.
  • A: four vertices are adjacent
  • B: four vertices are not adjacent
  • C: four vertices are selected from a single cluster
  • D: four vertices must be colored differently
View Answer
B

Q316: What does it mean if a problem is NP-complete?
  • A: It can be solved in polynomial time
  • B: No known polynomial-time solution exists
  • C: All problems are reducible to it
  • D: It's solvable only by brute force
View Answer
B

Q317: In the Independent Set Problem, the verification process can be done in _______.
  • A: linear time
  • B: polynomial time
  • C: quadratic time
  • D: exponential time
View Answer
B

Q318: The reduction from 3SAT to Independent Set shows that _______. 3SAT is more complex than IS
  • A: IS is as complex as 3SAT
  • B: 3SAT cannot be solved
  • C: IS has a polynomial solution
  • D:
View Answer
B

Q319: The vertices in an independent set must _______.
  • A: share an edge
  • B: be adjacent to each other
  • C: not share an edge
  • D: be in the same cluster
View Answer
C

Q320: In the context of the Independent Set Problem, the adjacency matrix is used for _______. defining edges between vertices
  • A: storing the independent set
  • B: listing vertices' weights
  • C: none of the above
  • D:
View Answer
A

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