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Questions › JNU › JNU SSS 2014 › Q32
2 marks, −0.5Mathematics › Logic and proof techniques › Propositional logic and conditionalsModerateabout 2 min

JNU SSS 2014 Question 32: 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.

Which of the following is true?

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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. Which of the following is true? (A) Testimony of A follows from testimony of B (B) Testimony of B follows from testimony of A (C) Testimony of C follows from testimony of A (D) Testimony of A follows from testimony of C

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

What this question tests

This question is on Propositional logic and conditionals, part of Logic and proof techniques in Mathematics.

Statements, truth values and how if-then statements are negated, reversed and chained.

TestStop has 15 past-paper questions on this subtopic.

Practise Logic and proof techniquesMore on Propositional logic and conditionals

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Question from the JNU SSS 2014 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.