1. A ship is at anchor. Over its side hangs a rope ladder with rungs a foot apart. The tide rises at a rate of 8 inches per hour. At the end of 6 hours how much of the rope ladder will remain above water, assuming that 8 feet were above water when the tide began to rise?

2. A traveler comes to a fork in the road. One way leads to the city of lies, the other to the city of truth. There is a man sitting in the grass at the intersection. The traveler does not know which city the man is from, and he may ask the man only one question to find his way to the city of truth. What is his question?

3. Three boxes are labeled "Apples," "Oranges," and "Apples and Oranges." Each label is incorrect. You may select only one fruit from each box. (No feeling around or peeking permitted.) How can you label each box correctly?

4. You have 20 red socks and 30 blue socks in your bureau drawer. If you reach into it in the dark, how many socks must you take out to be sure of having a pair that matches?

5. A snail is at the bottom of a well 30 feet deep. It can crawl upward 3 feet in one day, but at night it slips back 2 feet. How long does it take the snail to crawl out of the well?

6. Given: Four pieces of cardboard. You are told that each one is either red or green on one side, and that each one has either a circle or square on the other side. They appear on the table as follows: Which ones must you pick up and turn over in order to have sufficient information to answer the question: Does every red one have a square on the other side?

7. A man has to get a fox, a chicken, and a sack of corn across a river. He has a rowboat, and it can only carry him and one other thing. If the fox and the chicken are left together, the fox will eat the chicken. If the chicken and the corn is left together, the chicken will eat the corn. How does the man do it?

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