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Solution to Puzzle L-8.  BEER

Allan, Bill, Carl, Don, and Ethan went to bar to have some beer.  Allan and Ethan each drunk three different brands of beer.  The rest of them had two different brands of beer from among the following:  Miller, Budwieser, Heineken, Guinness, and Tsingtao.

To solve this puzzle, create the table below with Y representing YES, and X representing NO.

Allan was the only one who drank Miller.

Bill did not drink Guinness.

Carl did not drink Budwieser.

Don did not drink Heineken.

Ethan was the only one who drank Tsingtao.

 Miller Guinness Budwieser Heineken Tsingtao Allan Y X Bill X X X Carl X X X Don X X X Ethan X Y

Therefore, we knew the two brands of beer Bill, Don, and Carl drank.

 Miller Guinness Budwieser Heineken Tsingtao Allan Y X Bill X X Y Y X Carl X Y X Y X Don X Y Y X X Ethan X Y

 Miller Guinness Budwieser Heineken Tsingtao Allan Y X X Bill X X Y Y X Carl X Y X Y X Don X Y Y X X Ethan X X Y

Since Allan and Ethan each drunk three different brands of beer, we can complete the table above.

 Miller Guinness Budwieser Heineken Tsingtao Allan Y Y X Y X Bill X X Y Y X Carl X Y X Y X Don X Y Y X X Ethan X Y X Y Y

From the table above, we conclude that:

Allan had Miller, Guinness, and Heineken.

Ethan had Guinness, Heineken and Tsingtao.

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Bits and Beyond...

PRIME NUMBERS

Prime numbers have captured the hearts of many mathematicians for centuries.  During 18th century, mathematician Christian Goldbach (1690-1764) wrote to Leonhard Euler that he believed it could be shown that every even integer greater than 2 is the sum of 2 primes.  For example, 30 = 23+7 and  36 = 13+23.  Until now, this conjecture has neither been proved or disproved.

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