Quiz: do bears sit in the woods?
Chris Maslanka challenges you to work out the Three Bears' exam results
Goldilocks enrolled the three bears in the Open University so that they could improve themselves. They were just a little defensive after their first exams as their (truthful) statements below demonstrate:
Daddy Bear: Either Mummy Bear passed Political Theory or I did not pass it.
Mummy Bear: If I passed Economics so did Baby Bear.
Baby Bear: Mummy Bear did not pass Political Theory.
Daddy Bear: If Baby Bear failed Sociology then Mummy Bear didn’t pass it.
Mummy Bear: I passed Sociology if and only if Daddy Bear did.
Daddy Bear: I did not pass as many exams as Mummy Bear.
Luckily, Goldilocks had passed Logic with flying colours. Now, no bear failed all three exams, and no exam was failed by all three; so which bear passed what?
Each issue, we award a prize to three lucky winners - this issue’s winners can brush up on their David Hume with The Pursuits of Philosophy by Annette Baier (Harvard). Note: entry for this quiz is now closed.
Solution to September/October quiz, "A tea-time teaser"
“Let the number wanting just milk be m and the number wanting just sugar be s. Let the number taking both be b, and the number wanting neither be t, then:
s + t = 21 (21 don’t take milk);
m = 2t (twice as many want milk as want just tea);
b = 2s (twice as many want milk and sugar as just sugar).
From the last two relations we may deduce that m + b = 2t + 2s = 2(s + t). That is, the number taking just milk plus the number taking milk and sugar equals twice as many as the number taking neither. So, the number that take milk is double the number that don’t. But you either take milk or you don’t. 21 don’t, so 42 do. This makes 63 visitors in all.”