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Solution to Puzzle L-4. SUMMER READINGS |
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Bill, Frank, Cathy, Dolly and Jill read three of the following books last summer: The Hobbit, Speak, The Lorax, To Kill a Mockingbird, and Little Women. To solve this puzzle, create a table below with Y representing the books read, and X representing the books not read. Bill and Frank did not read Little Women. Cathy did not read The Hobbit. Based on the above we have
Dolly was the only one who read The Lorax.
Since we know the two books Bill, Frank, and Cathy did not read, we know the three books each of them read.
Three of them read To Kill a Mokingbird,
Thus, we know the three books Jill read.
Three of them read The Hobbit, this results in
From the table above, we conclude that Bill read The Hobbit, Speak, and To Kill a Mockingbird. Frank read The Hobbit, Speak, and To Kill a Mockingbird. Cathy read Speak, To Kill a Mockingbird, and Little Women. Dolly read Speak, The Lorax, and Little Women. Jill read The Hobbit, Speak, and Little Women.
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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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