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The police arrested four criminals - P, Q, R and S. The criminals knew each other. They made the following statements:
P says “Q committed the crime.”
Q says “S committed the crime.
R says “I did not do it.”
S says “What Q said about me is false.”
Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?
  • a)
    P
  • b)
    R
  • c)
    S
  • d)
    Q
Correct answer is option 'B'. Can you explain this answer?
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The police arrested four criminals - P, Q, R and S. The criminals knew...
"I am not friends with Q or R."
Q says "P and R are friends."
R says "S is not my friend."
S says "Q is not my friend."

Based on these statements, can you determine who is friends with whom?
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Community Answer
The police arrested four criminals - P, Q, R and S. The criminals knew...
Let S1: P says “Q committed the crime.”
S2: Q says “S committed the crime.”
S3: R says “I did not do it.”
S4: S says “What Q said about me is false.”
1. Assume that P committed the crime:
S1 is false, S2 is false, S3 is true, S4 is true
Since S3 and S4 are true, R and S says true but only one of the statements among S1, S2, S3 and S4 is true. Therefore, assuming that P committed the crime is false.
2. Assume that R committed the crime:
S1 is false, S2 is false, S3 is false, S4 is true
Since S4 is true, S says true and only one of the statements among S1, S2, S3 and S4 is true. Therefore, assuming that R committed the crime is true.
3. Assume that S committed the crime:
S1 is false, S2 is true, S3 is true, S4 is false
Since S2 and S3 are true, Q and R both says true but only one of the statements among S1, S2, S3 and S4 is true. Therefore, assuming that S committed the crime is false.
4. Assume that Q committed the crime:
S1 is true, S2 is false, S3 is true, S4 is true
Since S1, S3 and S4 are true, P, R and S says true but only one of the statements among S1, S2, S3 and S4 is true. Therefore, assuming that Q committed the crime is false.
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The police arrested four criminals - P, Q, R and S. The criminals knew each other. They made the following statements:P says “Q committed the crime.”Q says “S committed the crime.R says “I did not do it.”S says “What Q said about me is false.”Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?a)Pb)Rc)Sd)QCorrect answer is option 'B'. Can you explain this answer?
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The police arrested four criminals - P, Q, R and S. The criminals knew each other. They made the following statements:P says “Q committed the crime.”Q says “S committed the crime.R says “I did not do it.”S says “What Q said about me is false.”Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?a)Pb)Rc)Sd)QCorrect answer is option 'B'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The police arrested four criminals - P, Q, R and S. The criminals knew each other. They made the following statements:P says “Q committed the crime.”Q says “S committed the crime.R says “I did not do it.”S says “What Q said about me is false.”Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?a)Pb)Rc)Sd)QCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The police arrested four criminals - P, Q, R and S. The criminals knew each other. They made the following statements:P says “Q committed the crime.”Q says “S committed the crime.R says “I did not do it.”S says “What Q said about me is false.”Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?a)Pb)Rc)Sd)QCorrect answer is option 'B'. Can you explain this answer?.
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