Brainteasers

By Julianne Scibetta, University of the Sciences in Philadelphia

I don't blame any of you for passing up the opportunity to attempt the Pirate Problem. Let's return to classic puzzles:

1. Spare Part (1 point): At a DIY evening class, the instructor passes around a box in which there are ten screwdrivers, one for each person present, including himself. Everybody takes a screwdriver, yet there is still one left in the box. Explain.

2. Triples (3 points): How many times does the digit 3 appear between 1 and 50?

3. Sister Sister (5 points): If only one of these statements is true, how many sisters do I have?
-I've got ten or more sisters.
-I've got less than ten sisters.
-I've got at least one sister.