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## Fractional Knapsack Problem Multiple choice Questions and Answers (MCQs)

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Question 1 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

Fractional knapsack problem is also known as .....

0/1 knapsack problem | |

Continuous knapsack problem | |

Divisible knapsack problem | |

Non continuous knapsack problem |

Question 1 Explanation:

Fractional knapsack problem is also called continuous knapsack problem. Fractional knapsack is solved using dynamic programming.

Question 2 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

Fractional knapsack problem is solved most efficiently by which of the following algorithm?

Divide and conquer | |

Dynamic programming | |

Greedy algorithm | |

Backtracking |

Question 2 Explanation:

Greedy algorithm is used to solve this problem. We first sort items according to their value/weight ratio and then add item with highest ratio until we cannot add the next item as a whole. At the end, we add the next item as much as we can.

Question 3 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

What is the objective of the knapsack problem?

To get maximum total value in the knapsack | |

To get minimum total value in the knapsack | |

To get maximum weight in the knapsack | |

To get minimum weight in the knapsack |

Question 3 Explanation:

The objective is to fill the knapsack of some given volume with different materials such that the value of selected items is maximized.

Question 4 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

Which of the following statement about 0/1 knapsack and fractional knapsack problem is correct?

In 0/1 knapsack problem items are divisible and in fractional knapsack items are indivisible | |

Both are the same | |

0/1 knapsack is solved using a greedy algorithm and fractional knapsack is solved using dynamic programming | |

In 0/1 knapsack problem items are indivisible and in fractional knapsack items are divisible |

Question 4 Explanation:

In fractional knapsack problem we can partially include an item into the knapsack whereas in 0/1 knapsack we have to either include or exclude the item wholly.

Question 5 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

Time complexity of fractional knapsack problem is .....

O(n log n) | |

O(n) | |

O(n ^{2}) | |

O(nW) |

Question 5 Explanation:

As the main time taking a step is of sorting so it defines the time complexity of our code. So the time complexity will be O(n log n) if we use quick sort for sorting.

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