- 1. If you had an infinite supply of water and a 5 quart and 3 quart pail, how would you measure exactly 4 quarts?
- 2. If you could remove any of the 50 states, which state would it be and why?
- 3. If you are on a boat and you throw out a suitcase, will the level of water increase?
- 4. There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. What is the probability that they don't collide?
- 5. Three men were renting a motel figuring the room cost 30 dollars they would pitch in ten a piece.The room was only 25 so they each gave the bell boy ten,(tip)the bellboy didn"t think that would be fair so he gave them each back 1 dollar and kept 2 for himself.What happened to the other dollar?
- 6. You have b boxes and n dollars. If I want any amount of money from 0 to n dollars, you must be able to hand me 0 to b boxes so that I get exactly what I request." The two questions were "What are the restrictions on b and n, and how is money distributed among the boxes?
- 7. What is the sum of the numbers from 1 to 1000?
- 8. You are an employer. You have ten employees. Each month, each one of your ten employees gives you ten bags of gold. Each bag of gold has ten pieces of gold in it. Each piece of gold weighs one pound. One of your employees is cheating you by only putting nine pieces of gold in each of his ten bags of gold. You have a scale (not a balance, a scale), and you can only take one measurement from the scale, only one (1) reading.
- How can you tell which of the ten employees is cheating you by using this scale and only taking one measurement?
- 9. How many points are there on the globe where by walking one mile south, one mile east and one mile north you reach the place where you started.
- 10. How would go about finding out where to look for a book in a library? (You do not know how the books are organized beforehand)
- 11. Imagine you are standing in front of a mirror, facing it. Raise your left hand. Raise your right hand. Look at your reflection. When you raise your left hand your reflection raises what appears to be his right hand. But when you tilt your head up, your reflection does too, and does not appear to tilt his/her head down. Why is it that the mirror appears to reverse left and right, but not up and down?
- 12. You have a bucket of jelly beAns. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same?
- 13. You are given a scale which you are to use to measure eight balls. Seven of these balls have the same weight: the eigth ball is heavier than the rest. What is the minimum number of weighs you could perform to find the heaviest of the eight balls?. Remmber it's a scale not a balance. (i.e. It can just tell you if one side is heavier than the other it can't give you the exact weight).
- 14. How would you design a toaster?
- 15. How would you design an universal remote control?
- 16. How would you design a clock for a blind person?
- 17. How many miles of road are there in the US
- 18. There are n couples attending a party. Each one shakes hands with the persons he doesn't know. (Assuming each person knows his/her partner) Mary and John are a couple. John asked the rest of the party-attenders how many times he has shaken hands. Each one gives a unique Answer. How many times does Mary shake hands?
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