TMUA Specimen Paper 2 Question 20

P2·Sets & Counting·8.0Specimen · P2 · Q20
truth-assignmentlogic-puzzlecase-analysis
Five logicians each make a statement.
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?

No discussions yet. Stuck, or want to share an approach? Start the first one.