Explanation:

In a circularly linked list organization, each node is connected to the next node in a circular manner, forming a loop. This means that the last node in the list points back to the first node, creating a circular structure.

When a record is inserted into a circularly linked list, we need to update the pointers of the nodes involved in the insertion process. The correct answer is option 'C', which states that the insertion of a record involves the modification of 2 pointers.

Insertion in a Circularly Linked List:

To insert a record in a circularly linked list, we perform the following steps:

1. Create a new node to hold the record data.
2. If the list is empty, set the new node as the first node and make it point to itself.
3. Otherwise, find the position where the new node should be inserted.
4. Update the pointers of the adjacent nodes to include the new node in the list.

Modification of 2 Pointers:

When inserting a record into a circularly linked list, we need to modify two pointers:

1. Pointer of the previous node: This pointer is used to connect the new node to the existing list. It needs to be updated to point to the new node.
2. Pointer of the new node: This pointer is used to connect the new node to the next node in the list. It needs to be updated to point to the node that was previously pointed to by the previous node.

By modifying these two pointers, we ensure that the new node is properly inserted into the circularly linked list and the circular structure is maintained.

Example:

Let's consider a simple example to illustrate the insertion process:

Initial Circularly Linked List: A -> B -> C -> A (A points to B, B points to C, C points to A)

Inserting a new record 'D' between B and C:

1. Create a new node for 'D'.
2. Update the pointer of the previous node (B) to point to 'D'.
3. Update the pointer of the new node 'D' to point to the next node (C).
4. Update the pointer of the next node (C) to point to the new node 'D'.

Modified Circularly Linked List: A -> B -> D -> C -> A (A points to B, B points to D, D points to C, C points to A)

As we can see from the example, the insertion of a record involves modifying 2 pointers - the pointer of the previous node and the pointer of the new node. This ensures that the circular structure is maintained and the new record is properly inserted into the list.