This set of Data Structures & Algorithms Multiple Choice Questions & Answers (MCQs) focuses on “Rope”.

**1. Which type of binary tree does rope require to perform basic operations?**

A) Unbalanced**B) Balanced**C) Complete

D) Full

Explanation: A balanced tree is needed to perform basic operations on a rope data structure, such as insertion, deletion, concatenation, and splitting. After completing the operations, the tree should be rebalanced.

**2. What is the time complexity for inserting the string and forming a new string in the rope data structure?****A) O (log n)**

B) O (n!)

C) O (n^{2})

D) O (1)

Explanation: In order to insert a string into the rope data structure, one can place it at any position x to form a new string in O (log n) time. As a result, the worst-case time complexity is O. (log n). One split operation and two concatenation operations can be used to accomplish this.

**3. Is insertion and deletion operation faster in rope than an array?****A) True**

B) False

Explanation: The time complexity of performing the insertion on the rope data structure is O. (log n). In the worst-case scenario, the time complexity of deleting the rope data structure is O. (log n). The time complexity of arrays is O. (n).

**4. What is the time complexity for deleting the string to form a new string in the rope data structure?**

A) O (n^{2})

B) O (n!)**C) O (log n)**

D) O (1)

Explanation: To delete a string from the rope data structure, delete the given string at any position x and form a new string in O (log n) time. As a result, the worst-case time complexity is O. (log n). Two split operations and one concatenation operation can be used to achieve this.

**5. Is it possible to perform a split operation on a string in the rope if the split point is in the middle of the string.****A) True**

B) False

Explanation: Splitting the given string into two new strings S1 and S2 in O (log n) time can be performed on the rope data structure. As a result, the worst-case time complexity is O. (log n). If the split point is at the end of the string or in the centre of the string, the split operation may be performed.

**6. Which of the following is also known as Rope data structure?****A) Cord**

B) String

C) Array

D) Linked List

Explanation: An array is a linear data structure. A string is a set of codes, alphabets, or characters that are arranged in a particular order. A Linked List is a linear data structure that has a node with data input and the address of the next node. The cord data structure is often referred to as the rope data structure.

**7. Which type of data structure does rope represent?**

A) Array

B) Linked List

C) Queue**D) Binary Tree**

Explanation: Rope is a special binary tree in which the string and its length are stored in the end nodes. A linear data structure is an array. A Linked List is a linear data structure with a node that contains data input as well as the address of the next node. The queue is a data structure that works on the first-in, first-out (FIFO) principle.

**8. What is the time complexity for finding the node at x position where n is the length of the rope?****A) O (log n)**

B) O (n!)

C) O (n^{2})

D) O (1)

Explanation: We start a recursive search from the root node to find the node at x position in a rope data structure, where N is the length of the rope. As a result, the worst-case time complexity is determined to be O. (log N).

**9. What is the time complexity for creating a new node and then performing concatenation in the rope data structure?**

A) O (log n)

B) O (n!)

C) O (n^{2})**D) O (1)**

Explanation: To contain multiple the rope data structure, one can construct two nodes, S1 and S2, and then perform the operation in constant time, i.e., the time complexity is O. (1).

**10. What is the time complexity for splitting the string into two new string in the rope data structure?**

A) O (n^{2})

B) O (n!)**C) O (log n)**

D) O (1)

Explanation: Splitting the given string into two new strings S1 and S2 in O (log n) time can be performed on the rope data structure. As a result, the worst-case time complexity is O. (log n).

A balanced tree is needed to perform basic operations on a rope data structure, such as insertion, deletion, concatenation, and splitting. After completing the operations, the tree should be rebalanced. Rope, also known as chain, is a data structure made up of smaller strings that is used to store and manipulate a long string efficiently. A text editing programme, for example, might use a rope to represent the text being edited, allowing operations like addition, deletion, and random access to be performed quickly.