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TIFR CSE 2012 | Part A | Question: 2

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If $Mr.M$ is guilty, then no witness is lying unless he is afraid. There is a witness who is afraid. Which of the following statements is true?

(Hint: Formulate the problem using the following predicates

  • $G - Mr.M$ is guilty
  • $W(x) - x$ is a witness
  • $L(x) - x$ is lying
  • $A(x) - x$ is afraid )
  1. $Mr.M$ is guilty.
  2. $Mr.M$ is not guilty.
  3. From these facts one cannot conclude that $Mr.M$ is guilty.
  4. There is a witness who is lying.
  5. No witness is lying.
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We have a witness but unless he is afraid but witness is afraid this eliminates a  as well as b too similiarly d and e because we don't have exact information that witness lie or not so eventually we don't have enough information belong to this case so C would be correct

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