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Puzzle - Answer

During the recent BrainBashers school sports day, four girls were competing in the 400 metres hurdles. Official figures mysteriously went missing just after the event, however, various spectators could remember the following information. Josie was never suspected though!

1. Jane won and wore red.
2. The girl wearing number 1 came third.
3. Julie beat the girl in yellow, but wasn't wearing number 2.
4. Only one girl finished in the same position as the number she wore, but she didn't wear red.
5. Jackie beat the girl wearing number 3 and Josie wore yellow.
6. The girl in green wore number 2.
7. A spectator remembered one girl wore blue, but couldn't remember anything else about her.

Can you determine the positions the girls finished in, along with the numbers and colours they wore?

 [Ref: ZOKL] © Kevin Stone

Answer:

# Name    Wore  Colour
1 Jane    4     red
2 Jackie  2     green
3 Julie   1     blue
4 Josie   3     yellow


Julie wasn't wearing 2 (clue 3) so wasn't wearing green (clue 6), Jane was wearing red (clue 1) and Josie wore yellow (clue 5), hence Julie wore blue, leaving Jackie wearing green wearing 2 (clue 6). As Jackie wore 2, she didn't come 3rd (clue 2), and Jane came first (clue 1), which means that Jackie must have come 2nd in order to beat the girl wearing 3 (clue 5). We now know Jane won and Jackie was 2nd, therefore Julie must have come 3rd in order to beat the girl in yellow (clue 3), leaving Josie in last place. As Jackie came second and she beat the girl wearing 3 (clue 5), the girl wearing 3 must have come 4th (therefore Josie) as the girl wearing 1 came 3rd (clue 2). Julie (who is 3rd) wore 1 (clue 2), leaving Jane wearing 4. QED.

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