Step 1: Understanding the context.
The question asks for the book for which Julian Brian won the Booker Prize. The correct answer is based on literary knowledge of the Booker Prize winners. Julian Brian won the prize for his book *The Sense of an Ending*.
Step 2: Analyzing the options.
(A) The Sense of an Ending: Correct, this is the Booker Prize-winning book by Julian Brian.
(B) Half Blood Blues: Incorrect, this is a different book and not the winner of the Booker Prize for Julian Brian.
(C) Pigeon English: Incorrect, this book is by Stephen Kelman, not Julian Brian.
(D) In a strange room: Incorrect, this is not the Booker Prize-winning book by Julian Brian.
(E) C: Incorrect, this is a novel by Tom McCarthy, not related to Julian Brian.
Step 3: Conclusion.
The correct answer is (A) The Sense of an Ending, which won the Booker Prize for Julian Brian.