Couple in a Room

Logic Level 2

Suppose the following statements about three persons in a room are true.

Chandni, Sooraj and Tara are in a room. Nobody else is in the room. Chandni is looking at Sooraj. Sooraj is looking at Tara. Chandni is married. Tara is not married. A married person in the room is looking at an unmarried person.

Which of the following is necessarily true?

There is insufficient information to conclude if Sooraj is married or unmarried Sooraj is unmarried Sooraj is married The situation described is impossible

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1 solution

Alex Schroeder
Feb 11, 2018

You can rename Chandni as C, Sooraj as S, and Tara as T. The description of where they are looking can be described as C -> S -> T where an arrow represents who someone is looking at. We know that C is married and T is not. We also know that a married person is looking at an unmarried person. That means there could be two different situations (where (m) is married and (n) is not married):

C(m) --> S(m) --> T(n) . Where S is the married one looking at T, the unmarried one.

or

C(m) --> S(n) --> T(n) . Where C is the married one looking at S, the unmarried one.

That means there is insufficient information to conclude if Sooraj is married or not because either situation would follow the rules.

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