**Some puzzles to puzzle you!**

1. If 1 were ONE, 2 were TWO and similarly we expand all the numbers to English spellings, which is the first number encountered which has an "A" in it?

2. What is the value of the following series: 1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6....

3. Any group of 8 digits can be found in this number. Which irrational number is this?

4. 50 coins of different denomination in a row, 2 players are playing the game, each players get alternate turns, you are allowed to take a coin from one of the ends, i,e, after one player has taken a coin, a new end gets exposed.... the player to have collected the maximum value of coins after both have taken 25 coins wins... What is the winning strategy?

5. A 1-metre stick is broken into two pieces at random. What is the length of the shorter piece, on average?

6. On a deserted road, the probability of observing a car during a thirty-minute period is 95%. What is the chance of observing a car in a ten-minute period?

7. Given n points drawn randomly on the circumference of a circle, what is the probability they will all be within any common semicircle?

8. There are three people and they need to know the average of their salaries without knowing each other's salary. How will you do that?