Official papers

Official Specimen Paper 2 · Q20

Paper 2Logic & proof

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?

Anone
B1 only
C2 only
D3 only
E4 only
Fnone or 1 only
G1 or 2 only
H2 or 3 only

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