JNU SSS 2013 Question 10: Logic and proof techniques
An exclusive club is trying very hard to pick its members from the social elite. An exact election mechanism has been agreed upon that will ensure the entrance of only the most suave members from the group A, B, C, D, E, F, G and H. Being ‘in’ or ‘out’ of the club is determined by the following rules :
If A is in, then G is out.
If H is out, then B is in.
If D is out, then E is out.
If H is in, then C is in.
If B is out, then G and D are out.
Which of the following is a complete group of people who could be in?
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An exclusive club is trying very hard to pick its members from the social elite. An exact election mechanism has been agreed upon that will ensure the entrance of only the most suave members from the group A, B, C, D, E, F, G and H. Being ‘in’ or ‘out’ of the club is determined by the following rules: If A is in, then G is out. If H is out, then B is in. If D is out, then E is out. If H is in, then C is in. If B is out, then G and D are out. Which of the following is a complete group of people who could be in? (A) A, F, G (B) F, G, H, C, E, D (C) E, D, H, C, B (D) B, F, G, D, A
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.
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