Question: Man walks into a store and says to the shop owner: “I will spend $10 in your store if you double the amount of money I now have in my pocket.” Store owner agrees; doubles his money; he spends $10 and leaves. He repeats this at 2 more stores. When he leaves the 3rd store he has $0 dollars. How much money did he have in his pocket when he walked into the first store?
Answer: You have to solve this starting with the last store. This means he walked into the 3rd store with $5, had it doubled to $10 and spent the whole $10. He entered the 3rd store with $5.00. He spent $10, so he had $15 after his money was doubled. $15 / 2= Means he had $7.50 when he entered the 2nd store. He left the 1st store with $7.50. He spent $10 so he had $17.50 after his money was doubled; $17.50 divided by 2. So, he started out with $8.75 when he walked into the first store.
John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true?
Answer: 301 eggs. The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1. For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.
Question: You want to go to a club but to get in you must respond correctly to what the bouncer says. The bouncer says 12 to one man and the man responds 6, he is allowed in. The bouncer says 6 to another man and the man says 3, he too is allowed in. A third man walks up and the bouncer says 10 and the man responds 5, but he is denied entry.
What number should he have said to get in?
Hint: Don't think about the math.
Answer: He should have said 3. The rule is to respond with the number of letters in the number the bouncer says. T-W-E-L-V-E has 6 letters, S-I-X has 3 letters, T-E-N has three letters.
Question: At the beginning of the first day of school there was a dead boy found inside of a classroom. They found 3 suspects: The janitor, the teacher and one of the boy's classmates. The janitor claims that he was just cleaning the room, the teacher said that she was computing her student's grades and the boy's classmate claims that he was listening to music.
Who committed the crime?
Answer: The Teacher. It's still the first day of school so there would be no grades.
Question: A man is trapped in a room. In the room their is a table, chair, 2 doors, and a small hole in the ceiling 12 inches in diameter. Behind one of the doors is an extremely hungry lion that hasn't eaten in a couple of days. Behind the other door is a glass tunnel that magnifies the sun creating temperatures so high that even opening the door could kill you.
How does the man escape?
Answer: He waits until it is night (he can tell through the hole in the ceiling) then leaves through the glass tunnel.
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