My Puzzle

 

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There are 20 high level IQ puzzles. There is no word play in any of the math questions, and every question does have a logical solution. The higher the number, the tougher the puzzle is. So, if you feel uncomfortable when doing the higher stage puzzles, please stop it and try again later! I am not responsible for any dizzy feeling, headache, cough, fever, cold, and any kinds of sick caused by doing these high level IQ puzzles.

In addition, all the links to the answer under that puzzle are contained answers and explanations. If you just want the answers without explanations so that you can try to think for a while again, you may click here for #1 to #10.

Take Care and Good Luck!!

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1. Three men have a dinner together and decide to share the bill of $30, so each man pays $10 towards the cost. Later, the manager realizes that he made a mistake, that the bill should have been $25 only. He calls the waiter over and asks him to refund the $5 to the three men. The waiter, not wanting to mess with a lot of change dividing the $5 three ways, decides to lie about the bill, refunding each man $1 and keeping the other $2 for himself. Ultimately each man paid $9 towards the bill and the waiter got $2, totaling $29. However, the original charge was $30, where did the extra $1 go?
Answer
2. A bartender has a 3-pint glass and a 5-pint glass. A customer walks in and orders 4 pints of beer. Without a measuring cup but with an unlimited supply of beer, how does he get the 4 pints of beer exactly?
Answer
3. A box contains two coins. One coin is heads on both sides and the other coin is head on one side and tail on the other side. One coin is selected from the box at random and the face of one side is observed as a head, what is the probability that the other side is also a head?
Answer
4. What is the smallest integer greater than 0 that can be written entirely with "0" and "1" only and is evenly divisible by 225?
Answer
5. Three switches in the basement correspond to three light bulbs in the bedroom. If no re-wiring is allowed, how can you tell which switch corresponds to which bulb if you are only allowed to go up into the bedroom once?
Answer
6.

A college student sends the following letter to his parents:
SEND + MORE = MONEY
Each letter in this letter represents a specific and unique integer. What does each letter stand for?
Answer

7. There are three men: one man always tells the truth, one always tells lies, and one answers "yes" or "no" randomly. Each man knows which man is who. You may ask three "yes/no" questions to determine who is who. If you ask the same question to more than one person you must count it as question used for each person whom you ask. What three questions should you ask?
Answer
8. On one side of a river, there are three humans, one big monkey, two small monkeys, and one boat. Each of the humans and the big monkey are strong enough to row the boat. The boat can fit one or two bodies (regardless of size). If at any time at either side of the river the monkeys outnumber the humans, the monkeys will eat the humans; and if at any time at either side of the river the humans outnumber the monkeys, the humans will not eat the monkeys. How do you get everyone on the other side of the river alive in the least steps?
Answer
9. If you take a marker and start from a corner on a cube, what is the maximum number of edges you can trace across if you never trace across the same edge twice, never remove the marker from the cube, and never trace anywhere on the cube, except for the corners and edges?
Answer
10. A cube is made of a white material, but the exterior is painted black. If the cube is cut into 125 smaller cubes of exactly the same size, how many of the cubes will have two of their sides painted black?
Answer

** Attention **

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Check if you feel any uncomfortable!!
Take a deep breath and have a glass of water,
then you may continue #11 to #20 by clicking here.
Take Care and Good Luck!!!



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