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# Data Structure Sample Questions

1. Convert the expression ((A + B) * C - (D - E) ^ (F + G)) to equivalent Prefix and Postfix notations.

Answer: Prefix Notation: ^ - * +ABC - DE + FG

Postfix Notation: AB + C * DE - - FG + ^

2. How many null branches are there in a binary tree with 20 nodes?

Let us take a tree with 5 nodes (n=5)

It will have only 6 (ie,5+1) null branches.
A binary tree with n nodes has exactly n+1 null nodes.

3. What are the methods available in storing sequential files?

Answer: The methods available in storing sequential files are:

• Straight merging,
• Natural merging,
• Polyphase sort,
• Distribution of Initial runs.

4. How many different trees are possible with 10 nodes ?

For example, consider a tree with 3 nodes(n=3), it will have the maximum combination of 5 different (ie, 23 - 3 = 5) trees.

i              ii                     iii                     iv                     v

In general:
If there are n nodes, there exist 2n-n different trees.

5. List out few of the Application of tree data-structure?

Answer: The list is as follows:

• The manipulation of Arithmetic expression,
• Symbol Table construction,
• Syntax analysis.

6. List out few of the applications that make use of Multilinked Structures?

Answer: The applications are listed below:

• Sparse matrix,
• Index generation.

7. In tree construction which is the suitable efficient data structure?

8. What is the type of the algorithm used in solving the 8 Queens problem?

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