Set of 3 – Part 2
1. There is one number less than 1000 that gives a remainder of 1 when it is divided by 2, 3, 4, 5, 6, 7 or 8. What is that number?
2. I have five letters and five addressed envelopes. If I place the letters in the envelopes at random, what are the chances that only four letters are in their correct envelopes? Chris, our resident probabilities expert is definitely going to struggle with this one!
3. A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At what speed must he travel the rest of the way to make his overall average speed for the trip 40 mph?