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Questions › JNU › JNU SSS 2014 › Q33
2 marks, −0.5Mathematics › Logic and proof techniques › Logical reasoning puzzlesModerateabout 2 min

JNU SSS 2014 Question 33: Logic and proof techniques

Three individuals, AAA, BBB and CCC, are suspected of income tax evasion. They testify under oath as follows : AAA : BBB is guilty and CCC is innocent. BBB : If AAA is guilty, then so is CCC. CCC : I’m innocent but at least one of the others is guilty.

Assuming everybody’s testimony to be true, who is innocent and who is guilty?

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Plain-text version

Three individuals, A, B and C, are suspected of income tax evasion. They testify under oath as follows: A: B is guilty and C is innocent. B: If A is guilty, then so is C. C: I’m innocent but at least one of the others is guilty. Assuming everybody’s testimony to be true, who is innocent and who is guilty? (A) A and C are innocent and B is guilty (B) B and C are innocent and A is guilty (C) C is the only innocent individual (D) All three are innocent

Logic and proof techniques has come up 73 times in 3 exams since 2004.

What this question tests

This question is on Logical reasoning puzzles, part of Logic and proof techniques in Mathematics.

Deduction problems that ask what must follow from a set of constraints.

TestStop has 47 past-paper questions on this subtopic.

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