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PostPosted: Wed Jan 16, 2013 7:59 pm 
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Joined: Wed Jun 27, 2012 10:26 am
Posts: 39
Freddie, Chloe, Finn, Jess and Anna are
playing a game where you roll a die.
The winner had a score of 6.
Jess scored more than Chloe.
Only Anna, Freddie and Chloe had even
scores.
If these statements are true, only one of
the sentences below cannot be true.
Which one?
A Jess and Finn scored the same.
B Finn did nor get the lowest score.
C Three people got the same score.
D Jess scored more than Freddie.
E Freddie and Chloe together scored 10.


Can anybody explain why the answer is C?


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PostPosted: Wed Jan 16, 2013 8:17 pm 
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Joined: Mon Aug 22, 2011 8:20 pm
Posts: 1706
Location: Warwickshire
"Only Anna, Freddie and Chloe had even scores" (2, 4 or 6)
but
"The winner had a score of 6" and "Jess scored more than Chloe"
(i.e Chloe scored less than 6 so those three didn't all get the same score.)
That only leave Finn and Jess who must have have odd scores (1, 3 or 5) so no three of them can have had the same score.


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