Who will be the president? Hrush Jan 14, 2009

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The fish puzzle we recently reproduced here turned out to be quite popular, so here’s a similar brain teaser.

Under cover of darkness, six men are meeting in a cabin in the North Woods. Mr. Grouper, Dr. Trout, Mr. Ray, Mr. Mackerel, ‘The Snapper’, and Mr. Bass must decide between them who will govern their super-secret ichthyological society. They are the only members eligible for the offices of President, Vice-President, and Secretary. And this is their challenge.

1. Grouper won’t be an officer unless Snapper is President
2. Trout won’t serve if he outranks Ray
3. Trout won’t serve with Bass under any conditions
4. Ray won’t serve with both Snapper & Bass
5. Ray won’t serve if Bass is President or Trout is secretary
6. Mackerel won’t serve with Ray or Snapper unless he outranks him
7. Snapper won’t be Vice-President
8. Snapper won’t be secretary if Mackerel is an officer
9. Snapper won’t serve with Grouper unless Bass serves too
10. Bass won’t serve unless either he or Ray is President

How can the three offices be filled?

[via Coudal]