A problem from the October 1959 issue of Eureka, the journal of the Cambridge University Mathematical Society:

A. The total number of true statements in this problem is 0 or 1 or 3.
B. The total number of true statements in this problem is 1 or 2 or 3.
C. The total number of true statements in this problem (excluding this one) is 0 or 1 or 3.
D. The total number of true statements in this problem (excluding this one) is 1 or 2 or 3.

Which of these statements are true?