Puzzles for January 18th

1. Snail on a Wall

A snail creeps 3 ft. up a wall during the daytime. After all the labor it does throughout the day, it stops to rest a while... but falls asleep!! The next morning it wakes up and discovers that it has slipped down 1 ft while sleeping.

If this happens every day, how many days will the snail take to reach the top of a wall 15 ft in height?
-----------------
2. A farmer’s wife with a carving knife has a cube of cheese 3 inches on a side. She wishes to slice cube into 27 small cubes 1 inch on a side. How can do this with six cuts?. Why isn't it possible to do it in less cuts even when trying to rearrange the pieces after each cut?

Puzzles for January 11

Try not to read others solutions but after you think on your own...

1. Three kinds of apples are mixed in a basket. How many apples do you need to take to make sure you have at least two apples of the same kind, (that means at least one pair of similar apples) ? All together there are 24 apples in the basket, 8 from each kind.

2. If 3 cats catch 3 rats in 3 minutes, how many cats will catch 100 rats in 100 minutes?