Ali and Zoe reach into a bag that they know contains nine lottery balls numbered 1 to 9. They each take one ball out to keep and they look at it secretly. Then, they make the following statements, in order:
Ali: I don’t know whose number is bigger.
Zoe: I don’t know whose number is bigger either.
Ali: I still don’t know whose number is bigger.
Zoe: Now I know that my number is bigger!
Assuming Ali and Zoe are perfect logicians, what is Zoe’s smallest possible number?
Riddle AnswerTwo women are selling apples. The first sells 30 apples at 2 for $1, earning $15. The second sells 30 apples at 3 for $1, earning $10. So between them they’ve sold 60 apples for $25.
The next day they set the same goal, but work together. They sell 60 apples at 5 for $2, but they’re puzzled to find that they’ve made only $24.
What became of the other dollar?
Riddle AnswerA taxi driver is going the wrong way down a one-way street. He passes four police officers, yet none of them stop him. Why?
Riddle AnswerTwo mathematicians, Tom and Smith are walking down the street.
Tom: I know you have three sons. What are their ages?
Smith: The product of their ages is 36.
Tom: I can’t tell their ages from that.
Smith: Well, the sum of their ages is the same as that address across the street.
Tom: I still can’t tell.
Smith: The eldest is visiting his grandfather today.
Tom: Now I know their ages.
Do you know the age of the kids?
Riddle AnswerThree closed boxes have either white marbles, black marbles or both, and they are labeled white, black and both. However, all three boxes are mislabeled. You may reach into one of the boxes and pull out only one marble.
Which box should you remove a marble from to determine the contents of all three boxes?
Riddle Answer