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Puzzle ZPJX 



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For being well-behaved at the garden fayre, four children were each given two sweets.

Jesse had an orange sweet.
One child who had a red sweet also had a blue one.
No child had two sweets of the same colour.
A child who had a green sweet also had a red one.
Jamie didn't have a red sweet, and Jo had a green one.
Jordan didn't have an orange one, and Jesse had no blue sweets.
Knowing that there were two sweets of each colour, can you tell the colours of the sweets each child had?

Puzzle Copyright © Kevin Stone

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Answer
Jamie       Orange   Blue
Jesse       Orange   Green
Jo          Green    Red
Jordan      Red      Blue

Reasoning
The children were: Jamie, Jesse, Jo, Jordan.
The colours were: Blue, Green, Orange, Red.

There were two sweets of each colour, and by (3) no child had two sweets of the same colour.

By (1), Jesse had an Orange sweet...
...by (6), didn't have Blue...
...by (2) and (4), Red was paired with Blue and Green...
...therefore Jesse's other sweet can't have been Red, so was Green.
   Jamie
   Jesse       Orange   Green
   Jo
   Jordan

By (4) the other Green sweet was paired with Red, by (5) this must have been Jo.
   Jamie
   Jesse       Orange   Green
   Jo          Green    Red
   Jordan

By (2) the other Red sweet was paired with Blue, but by (5) this wasn't Jamie, so must have been Jordan.
   Jamie
   Jesse       Orange   Green
   Jo          Green    Red
   Jordan      Red      Blue

Leaving Jamie with Orange and Blue.
   Jamie       Orange   Blue
   Jesse       Orange   Green
   Jo          Green    Red
   Jordan      Red      Blue

 

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