Few More Data Struture Questions

1. Given two strings. Find whether they are circular palindromes or not - 
2. Given a string and find whether it is a palindrome or not
3. Rotate array by n times
4. Remove duplicates in a string
5. Remove the occurences of the character in the string
6. Find whether a linked list is a Palindrome or not in O(1N)
7. Find the Middle node in a linked list
8. Remove the loop formed by the last two nodes in a singly linked list
9. Remove the loop formed in a singly linked list
10. Compress a file by removing the white spaces