**What is a Data Structure?**

A data structure is a way of organizing the data so that the data can be used efficiently. Different kinds of data structures are suited to different kinds of applications, and some are highly specialized to specific tasks. For example, B-trees are particularly well-suited for implementation of databases, while compiler implementations usually use hash tables to look up identifiers.

**What are linear and non linear data Structures?**

**Linear:**A data structure is said to be linear if its elements form a sequence or a linear list. Examples: Array. Linked List, Stacks and Queues**Non-Linear:**A data structure is said to be linear if traversal of nodes is nonlinear in nature. Example: Graph and Trees.

**What are the various operations that can be performed on different Data Structures?**

**Insertion**− Add a new data item in the given collection of data items.**Deletion**− Delete an existing data item from the given collection of data items.**Traversal**− Access each data item exactly once so that it can be processed.**Searching**− Find out the location of the data item if it exists in the given collection of data items.**Sorting**− Arranging the data items in some order i.e. in ascending or descending order in case of numerical data and in dictionary order in case of alphanumeric data.

**How is an Array different from Linked List?**

- The size of the arrays is fixed, Linked Lists are Dynamic in size.
- Inserting and deleting a new element in an array of elements is expensive, Whereas both insertion and deletion can easily be done in Linked Lists.
- Random access is not allowed in Linked Listed.
- Extra memory space for a pointer is required with each element of the Linked list.
- Arrays have better cache locality that can make a pretty big difference in performance.

**What is Stack and where it can be used?**

Stack is a linear data structure which the order LIFO(Last In First Out) or FILO(First In Last Out) for accessing elements. Basic operations of stack are : **Push, ****Pop , ****Peek**

Applications of Stack:

**Infix to Postfix Conversion using Stack****Evaluation of Postfix Expression****Reverse a String using Stack****Implement two stacks in an array****Check for balanced parentheses in an expression**

**What is a Queue, how it is different from stack and how is it implemented?**

**Queue** is a linear structure which follows the order is **F**irst **I**n **F**irst **O**ut (FIFO) to access elements. Mainly the following are basic operations on queue: **Enqueue, ****Dequeue**, **Front, ****Rear **

The difference between stacks and queues is in removing. In a stack we remove the item the most recently added; in a queue, we remove the item the least recently added. Both Queues and Stacks can be implemented using Arrays and Linked Lists.

**What are Infix, prefix, Postfix notations?**

**Infix notation:**X**+**Y – Operators are written in-between their operands. This is the usual way we write expressions. An expression such asA * ( B + C ) / D

**Postfix notation (also known as “Reverse Polish notation”):**X Y**+**Operators are written after their operands. The infix expression given above is equivalent toA B C + * D/

**Prefix notation (also known as “Polish notation”):**+ X Y/ * A + B C D

**What is a Linked List and What are its types?**

A linked list is a linear data structure (like arrays) where each element is a separate object. Each element (that is node) of a list is comprising of two items – the data and a reference to the next node.Types of Linked List :

**Singly Linked List :**In this type of linked list, every node stores address or reference of next node in list and the last node has next address or reference as NULL. For example 1->2->3->4->NULL**Doubly Linked List :**Here,**Circular Linked List :**Circular linked list is a linked list where all nodes are connected to form a circle. There is no NULL at the end. A circular linked list can be a singly circular linked list or doubly circular linked list. Eg. 1->2->3->1 [The next pointer of last node is pointing to the first]

**Which data structures are used for BFS and DFS of a graph?**

**Queue is used for BFS**- Stack is used for DFS.
**DFS can also be implemented using recursion**(Note that recursion also uses function call stack).

**Can doubly linked be implemented using a single pointer variable in every node?**

Doubly linked list can be implemented using a single pointer.

**How to implement a stack using queue?**

A stack can be implemented using two queues. Let stack to be implemented be ‘s’ and queues used to implement be ‘q1’ and ‘q2’. Stack ‘s’ can be implemented in two ways:

- Method 1 (By making push operation costly)
- Method 2 (By making pop operation costly)

**How to implement a queue using stack?**

A queue can be implemented using two stacks. Let queue to be implemented be q and stacks used to implement q be stack1 and stack2. q can be implemented in two ways:

- Method 1 (By making enQueue operation costly)
- Method 2 (By making deQueue operation costly)

**Which Data Structure Should be used for implementiong LRU cache?**

We use two data structures to implement an LRU Cache.

**Queue**which is implemented using a doubly linked list. The maximum size of the queue will be equal to the total number of frames available (cache size).The most recently used pages will be near front end and least recently pages will be near rear end.**A Hash**with page number as key and address of the corresponding queue node as value. See

**How to check if a given Binary Tree is BST or not?**

If inorder traversal of a binary tree is sorted, then the binary tree is BST. The idea is to simply do inorder traversal and while traversing keep track of previous key value. If current key value is greater, then continue, else return false.