Which of the following operations can be performed more efficiently on a doubly linked list compared to a singly linked list?Traversing the list from the beginning to the end.Inserting a new node after a given node.Removing the last node of the list.Searching for a node by its index.

The operations that can be performed more efficiently on a doubly linked list compared to a singly linked list are:

1. Inserting a new node after a given node: In a doubly linked list, we can insert a new node after a given node in O(1) time if we have a pointer to the node. In a singly linked list, we would need to traverse the list from the head to the given node, which takes O(n) time.

2. Removing the last node of the list: In a doubly linked list, we can remove the last node in O(1) time if we have a pointer to the last node. In a singly linked list, we would need to traverse the list from the head to the second last node, which takes O(n) time.

The operations that are not more efficient in a doubly linked list are:

1. Traversing the list from the beginning to the end: This operation takes O(n) time in both singly and doubly linked lists, where n is the number of nodes in the list.

2. Searching for a node by its index: This operation also takes O(n) time in both singly and doubly linked lists.