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Luke, Clive, Anton and Paul are four talented creative artists, one a dancer, one a painter, one a singer, and one a writer. (Though not necessarily respectively.)

  1. Luke and Anton were in the audience the night the singer made his debut on the concert stage.
  2. Both Clive and the writer have sat for portraits by the painter.
  3. The writer, whose biography of Paul was a best seller, is planning to write a biography of Luke.
  4. Luke has never heard of Anton.

Who is the dancer? Who is the painter? Who is the singer? Who is the writer?

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Final occupations:

Luke: Dancer
Clive: Singer
Anton: Writer
Paul: Painter


Explanation:

Lets see what each line tells us

1:

L and A are not the singer

2:

C is not the painter nor the writer

3:

L and P are not the writer

4:

L and A have not interacted


So using this information lets see what everyone could be and narrow it down from there:

L: Painter/Dancer
A: Painter/Dancer/Writer
C: Singer/Dancer
P: Painter/Singer/Dancer


We can instantly see that

A must be the writer, as he is the only possible person it could be.

This means that

Luke cannot be the painter, or would have painted Anton and hence interacted with him breaking 4). L is therefore the Dancer.

So

L is the dancer, A is the writer, C is therefore the singer and P is the painter.

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  • $\begingroup$ Well done @Beastly Gerbil. Logical and precise. $\endgroup$ – DrD Dec 21 '20 at 20:34
  • $\begingroup$ @DrD maybe now, I originally missed that A had to be the occupation he was :P $\endgroup$ – Beastly Gerbil Dec 21 '20 at 20:34
  • $\begingroup$ Ah, yes. The "planning to" bit threw me off. $\endgroup$ – feelinferrety Dec 22 '20 at 17:45

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