Monday teaser

I think the answers to the previous teaser have not been published yet, so here they are. But first, congratulations to Bakawali and Najibest yet again, for getting all the answers correct. Prizes should be in your mailbox in two weeks time.

1. She is a liar. No liar would would claim to be a liar, therefore she is not telling the truth.

2. 40 miles per hour.
   

3. The chance it will come up heads is 1 in 2. A coin has no memory.

4. Small (meter is also accepted).

5. Patty, because all of the others usually either beat her or beat somebody else who beats her.

Now here are today's teasers:

1. A man wants to grow a tree very quickly. He buys some special tree seeds that double in height every day. On the tenth day, the tree is twenty feet high. On what day was it five feet high?

2. A man moors his boat in a harbor at high tide. A ladder is fastened to the boat, with three rungs showing. The rungs are twelve inches apart. At low tide the water level sinks twenty feet. How many rungs of ladder are now showing?

3. You have two pencils, a good one and a cheap one. The good one cost $1.00 more than the cheap one. You spent $1.10 for both. How much did the cheap one cost?

4. A very fast train runs from A to B in an hour and a quarter, but on the return trip it takes 75 minutes under identical conditions. Why?

5. Robert and Rose went shopping for presents together. They had a total of $264 between them. Rose had $24 more to begin with but spent twice as much as Robert and ended up with two-thirds as much money as Robert. How much did Robert spend?

Well, good luck! You might need it this time.