Thieves

Logic Level 1

At a hotel some guests money has been stolen. The manager called the cops for investigation. They arrested three suspects, they are Rob, Mike and Sara. They make three statements,

Rob: I know Mike and he is innocent.

Mike: I don't know any of them.

Sara: One of them is definitely a thief.

Given that all of them are telling the truth. Find the thief

Sara Mike All of them are innocent Rob

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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2 solutions

Assumption: All three statements are true.

From the first statement, we conclude that M i k e Mike is innocent. So it is between R o b Rob and S a r a Sara . From the second statement, there is no clue. From the third statement, S a r a Sara said that it is between M i k e Mike and R o b Rob so S a r a Sara is not the thief. Since M i k e Mike is innocent, R o b Rob is the thief.

7 Helpful 0 Interesting 0 Brilliant 0 Confused
Munem Shahriar
Jun 17, 2017

We know that all three statements are true

Rob: I know Mike and he is innocent.

Mike: I don't know any of them.

Sara: One of them is definitely a thief.

Now,

Rob's statement makes mike innocent so Mike isn't the thief. Mike is ruled out from the statements just Rob and Sara are left. Sara's statement made Rob the thief because she said one between Rob and Mike is the thief so Sara is must not the thief . Since Mike is innocent Rob is the thief.

4 Helpful 0 Interesting 0 Brilliant 0 Confused

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