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Friday, April 15, 2011

Friday Puzzles...


I've adapted this one from "Math Charmers" by Alfred Posamentier:

Before him, Newt has 3 boxes, one of which contains ONLY nickels, one containing ONLY dimes, and one containing a mix of nickels and dimes. But the labels for the boxes ("Nickels," "Dimes," and "Mixed") fell off and when they were replaced they were all placed on WRONG boxes. Without looking, Newt can draw ONE coin from one of the now mislabeled boxes and see what it is. If only he were bright enough, which box should he draw one coin from in order to insure that he can determine what is actually in all 3 boxes? (answer down  below)

NICKELS          DIMES          MIXED


And a simple bonus logic chestnut today adapted from a current Peter Cameron post HERE:
On a table are 4 cards marked (on the sides that are showing) "A," "B," "2," and "3.". It is known that each of the 4 cards has a letter on one side and a number on the other side. Which 2 cards should you turn over in order to determine if all cards with a vowel on one side have an even number on the opposite side?
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dimes/nickels answer: draw from the box labeled "mixed"

card answer:  "A" and "3"

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