Data Structures Algorithms Online Quiz


Following quiz provides Multiple Choice Questions (MCQs) related to Data Structures Algorithms. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - What is the worst case time complexity of linear search algorithm?

A - Ο(1)

B - Ο(n)

C - Ο(log n)

D - Ο(n2)

Answer : D

Explanation

Linear search scans sequentially to find the target value. The best case is Ο(1) and average and worst case is Ο(n). Worst case is when data is not in the list, and it has to scan all n elements.

Q 2 - Maximum number of nodes in a binary tree with height k, where root is height 0, is

A - 2k − 1

B - 2k+1 − 1

C - 2k-1 + 1

D - 2k − 1

Answer : B

Explanation

If the root node is at height 0, then a binary tree can have at max 2k+1 − 1 nodes.

For example: a binary tree of height 1, can have maximum 21+1 − 1 = 3 nodes.

   r    --------- 0
  / \
 L   R  --------- 1

Q 3 - Minimum number of moves required to solve a Tower of Hanoi puzzle is

A - 2n2

B - 2n-1

C - 2n - 1

D - 2n - 1

Answer : C

Explanation

Minimum number of moves required to solve a Tower of Hanoi puzzle is 2n - 1. Where n is the number of disks. If the number of disks is 3, then minimum number of moves required are 23 - 1 = 7

Q 4 - What could be the worst case height of an AVL tree?

A - 0.97 log n

B - 2.13 log n

C - 1.44 log n

D - n2 log n

Answer : C

Explanation

Worst case height of an AVL tree is 1.44 log n

Q 5 - Apriory algorithm analysis does not include −

A - Time Complexity

B - Space Complexity

C - Program Complexity

D - None of the above!

Answer : C

Explanation

Algorithms are independent of programming languages, hence, program complexity is not a part of algorithm analysis.

Q 6 - What will be the running-time of Dijkstra's single source shortest path algorithm, if the graph G(V,E) is stored in form of adjacency list and binary heap is used −

A - Ο(|V|2)

B - Ο(|V| log |V|)

C - Ο(|E|+|V| log |V|)

D - None of these

Answer : C

Explanation

The runing time will be Ο(|E|+|V| log |V|) when we use adjacency list and binary heap.

Q 7 - Linked list search complexity is

A - Ο(1)

B - Ο(n)

C - Ο(log n)

D - Ο(log log n)

Answer : B

Explanation

Linked lists has search complexity of Ο(n).

Answer : D

Explanation

Regardless of being min heap or max heap, root is always replaced by last element of the last level.

Answer : D

Explanation

The balance factor (BalanceFactor = height(left-sutree) height(right-sutree)) is used to check if the tree is balanced or unbalanced.

Answer : B

Explanation

Efficiency of algorithm is measured by assuming that all other factors e.g. processor speed, are constant and have no effect on implementation.

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