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Martian Mystery

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There was trouble from the Grundi. One of them
damaged the spaceship by hurling a rock at it. The
astronauts couldn’t figure out what the Grundi had to
gain by their hostile act. Was it just vandalism, done out
of sheer spite? Or perhaps not everyone on Mars was
happy to see the Earthlings return.
The Martian police chief brought in five Grundi for
questioning. Like all Grundi, they sometimes told the
truth and sometimes lied. The suspects each made
three statements, two of which were true and one of
which was false. And the guilty one was revealed.
1. Zum said:
I am innocent.
I have never used a rock to destroy anything.
Tset did it.
2. Uk said:
I did not do the damage.
The Earthman’s vehicle is on Grundi space.
Yan is not my friend.
3. Pala said:
I am innocent.
I never saw Yan before.
Tset is guilty.
4. Tset said:
I did not throw the rock.
Yan did it.
Zum did not tell the truth when he said I did it.
5. Yan said:
I am innocent.
Uk is guilty.
Pala and I are old friends.
Who was the culprit?

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ravi Expert Asked on 16th July 2015 in Google Interview Puzzles.
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    • 1 Answer(s)

    1. Tset said (in his first statement) that he did not throw
    the rock and (in his third statement) that Zum lied by
    saying he, Tset, did. Since only one of the three statements
    could be false, both of these must be true. Therefore,
    his second statement that Yan did it must be a lie.
    So, we know that both Tset and Yan are innocent.
    2. Zum said that Tset did it, and so we know that this
    statement is Zum’s one lie. Therefore, Zum’s statement,
    “I am innocent,” is the truth.
    Who is left as a possible culprit? Pala and Uk.
    3. Since Tset is innocent, Pala’s comment that Tset did it
    was her lie. Therefore, her statements that she was innocent
    and that she never saw Yan before were true.
    4. Yan’s assertion that he and Pala were old friends was
    therefore a lie. He told the truth when he said that he,
    Yan, was innocent and that Uk was guilty

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    rahul Guru Answered on 17th July 2015.
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