Answer : C
Since the examiner likes D, it means he must like C also, since the question states that those who like D like C also.
Since last year a question was asked on F, who is a modern poet, this year a question will be asked on an ancient poet which means A,B,C or D
Now the examiner is not likely to ask question on D because he has written an article on him. So he will ask the question on C since he likes C as well