This section contains more frequently asked Data Structure and Algorithms Basics Multiple Choice Questions Answers in the various University level and competitive examinations.

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1. Name the node which has been generated but none of its children nodes have been generated in state space tree of backtracking method.

  • Dead node
  • Live node
  • E-Node
  • State Node

2. How many nodes are there in a full state space tree with n = 6?

  • 65
  • 64
  • 63
  • 32

3. This algorithm scans the list by swapping the entries whenever pair of adjacent keys are out of desired order.

  • Insertion sort.
  • Bubble sort.
  • Shell sort.
  • Quick sort.

4. The  notation is

  • Symmetric
  • Reflexive
  • Transitive
  • B & C only

5. From the following chose the one which belongs to the algorithm paradigm other than to which others from the following belongs to.

  • Minimum & Maximum problem
  • Knapsack problem.
  • Selection problem.
  • Merge sort.

6. To calculatec(i, j )’s, w( i, j)’s and r(i, j)’s; the OBST algorithm in worst case takes the following time.

  • O(log n)
  •  O (n4)
  • O (n3)
  • O (n log n)

7. What is the type of the algorithm used in solving the 4 Queens problem?

  • Greedy
  • Dynamic
  • Branch and Bound
  • Backtracking.

8. In Knapsack problem, the best strategy to get the optimal solution, where Pi, Wi is the Profit, Weight associated with each of the Xith object respectively is to

  • Arrange the values Pi/Wi in ascending order
  • Arrange the values Pi/Xi in ascending order
  • Arrange the values Pi/Wi in descending order
  • Arrange the values Pi/Xi in descending order

9. Greedy job scheduling with deadlines algorithms’ complexity is defined as

  • O(N)
  • Ω( n log n)
  • O (n2 log n)
  • O ( n log n)

10. The divide and conquer merge sort algorithm’s time complexity can be defined as

  •  (long n)
  •  (n)
  • Ω (n log n)
  •   (n log n)
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