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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

Q181: What would be the maximum value obtainable with a weight limit of W = 11 using the items listed?
  • A: 22
  • B: 28
  • C: 40
  • D: 18
View Answer
C

Q182: If the weight of an item exceeds the current capacity of the knapsack, what happens?
  • A: The item can be included anyway
  • B: The item cannot be included
  • C: The item is halved
  • D: The item is removed from consideration
View Answer
B

Q183: How many items are there in the provided example of the 0/1 Knapsack Problem?
  • A: 5
  • B: 4
  • C: 3
  • D: 6
View Answer
A

Q184: Fill in the blank: The maximum capacity of the knapsack is denoted by _____.
  • A: W
  • B: The total weight
  • C: Total value
  • D: Number of items
View Answer
A

Q185: The dynamic programming approach computes the optimal solution in a ____ fashion.
  • A: Top-down
  • B: Bottom-up
  • C: Recursive
  • D: Iterative
View Answer
B

Q186: If the first four items of the example are chosen, what is the total weight?
  • A: 14
  • B: 20
  • C: 26
  • D: 10
View Answer
A

Q187: Which of the following is a characteristic of the 0/1 Knapsack Problem?
  • A: Partial item selection allowed
  • B: Multiple selections allowed
  • C: Each item can be included once or not at all
  • D: Items can be duplicated
View Answer
C

Q188: What is the result when using an auxiliary boolean array keep[i, j]?
  • A: It shows which items are included in the optimal solution.
  • B: It calculates the weight of the knapsack.
  • C: It indicates the maximum value.
  • D: It counts the number of items included.
View Answer
A

Q189: If the knapsack has a weight limit of W and the first n items are considered, what is the state of V[n, W]?
  • A: The maximum value of the first n items that can fit into the knapsack.
  • B: The weight of the items.
  • C: The total number of items.
  • D: The maximum weight of items.
View Answer
A

Q190: What is the main goal of an optimization problem?
  • A: To find any solution
  • B: To find the best solution
  • C: To minimize time only
  • D: To maximize complexity
View Answer
B

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