Introduction:
A linked list is a data structure that is commonly used to implement a queue. In a linked list implementation of a queue, new nodes can be inserted either at the beginning or at the end of the linked list. The choice of insertion point affects the pop operation, i.e., the removal of nodes from the queue.

Explanation:
The correct statement about the linked list implementation of a queue is that if new nodes are inserted at the beginning of the linked list (option a), then in the pop operation, nodes must be removed from the end. Similarly, if new nodes are inserted at the end of the linked list (option b), then in the pop operation, nodes must be removed from the beginning. Therefore, option c, which states that both of the above statements are true, is the correct answer.

Reasoning:
To understand why this is the case, let's consider the characteristics of a queue and how they are implemented in a linked list.

1. FIFO (First-In-First-Out) Order:
- A queue follows the FIFO order, which means that the element that is inserted first is the first one to be removed.
- In a linked list implementation, the first element is represented by the head of the linked list, and the last element is represented by the tail.
- If new nodes are inserted at the beginning of the linked list, the head pointer is updated to point to the new node, and the original head becomes the second element. This maintains the FIFO order.
- If new nodes are inserted at the end of the linked list, the tail pointer is updated to point to the new node, and the original tail remains the last element.

2. Push Operation:
- In a queue, the push operation adds an element to the end of the queue.
- In a linked list implementation, if new nodes are inserted at the beginning, the push operation involves inserting a new node at the beginning of the linked list.
- If new nodes are inserted at the end, the push operation involves inserting a new node at the end of the linked list.

3. Pop Operation:
- In a queue, the pop operation removes the first element from the queue.
- In a linked list implementation, if new nodes are inserted at the beginning, the pop operation involves removing the last element from the linked list. This is because the last element becomes the first element after inserting new nodes at the beginning.
- If new nodes are inserted at the end, the pop operation involves removing the first element from the linked list.

Conclusion:
In a linked list implementation of a queue, if new nodes are inserted at the beginning of the linked list, then in the pop operation, nodes must be removed from the end. Similarly, if new nodes are inserted at the end of the linked list, then in the pop operation, nodes must be removed from the beginning. Therefore, option c, which states that both of the above statements are true, is the correct answer.