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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.

Then, Which of the following is necessarily true?

  1. Sooraj is married
  2. Sooraj is unmarried
  3. The situation described is impossible
  4. There is insufficient information to conclude if Sooraj is married or unmarried
  5. None of the above
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2 Answers

Best answer
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9 votes

"A married person in the room is looking at an unmarried person" ---this is satisfied when Sooraj is made married

$\underset{married}{\text{Chandni}} \longrightarrow \underset{married}{\text{Sooraj}} \longrightarrow \underset{unmarried}{ \text{Tara}}$

"A married person in the room is looking at an unmarried person" ---this is satisfied when Sooraj is made unmarried

$\underset{married}{\text{Chandni}} \longrightarrow \underset{unmarried}{\text{Sooraj}} \longrightarrow \underset{unmarried}{ \text{Tara}}$

As both are possible we cannot finalize it to A or B --- we need extra information so answer should be D

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2 votes

The correct answer should be C)..Let us see how ..

It is given that Chandni is married and Tara is not married..Further a married person looks at unmarried is also given..

Now given Chandni looks at Sooraj ==> Sooraj is unmarried is followed from this instance

Also Sooraj looks at Taara ..Now Taara is not married .Also it is given : A married person looks at unmarried . So Sooraj has to be married as follows from this instance..

So both of the above instances are contradictory..

Hence it is an impossible event..But it is so if we are given information about who the unmarried person can look to..

Thus the given piece of information is insufficient.

Hence D) should be the correct answer.. 

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