20. Five logicians each make a statement, as follows: Mr P: Of these five statements, an odd number are true. Ms Q: Both statements made by women are true. Mr R: My first name is Robert and Mr P's statement is true. Ms S: Exactly one statement made by a man is true. Mr T: Neither statement made by a woman is true. How many of the five statements can be simultaneously true? A none B 1 only C 2 only D 3 only E 4 only F none or 1 only G 1 or 2 only H 2 or 3 only
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20. Five logicians each make a statement, as follows:
Mr P: Of these five statements, an odd number are true.\\
Ms Q: Both statements made by women are true.\\
Mr R: My first name is Robert and Mr P's statement is true.\\
Ms S: Exactly one statement made by a man is true.\\
Mr T: Neither statement made by a woman is true.
How many of the five statements can be simultaneously true?
A none\\
B 1 only\\
C 2 only\\
D 3 only\\
E 4 only\\
F none or 1 only\\
G 1 or 2 only\\
H 2 or 3 only
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