Saturday, October 09, 2004

Most easy

1. How far can a dog run into the woods?
Answer: Only halfway. If it runs more, then it would be running out of the woods.


2. A man holds out his closed fist and says: "I am holding two coins in my hand. The sum of these coins comes to exactly 55 cents. One of the coins is not a nickel. Can you tell me the value of each of the coins?"
Answer: The coin that is not a nickel is a half dollar. The other coin is a nickel.


3. It takes a clock 2 seconds to strike 2 o'clock. How long will it take to strike 3 o'clock?
Answer: It will take 4 seconds. Since the clock strikes 2 o'clock in 2 seconds, these two seconds are the interval between two strikes. Between the first and the third strike there is two intervals, so it will be 4 seconds.


4. One day, a very rich man was counting his money when he got a very important phone call and he had to leave in a hurry. In his haste, he left a one hundred dollar bill on the table. When he came home he noticed the missing money and he asked the two only other people in the house what happened. The maid said she saw the bill on the table while dusting the library and she hid it under the book. The butler said he got the bill and put it between pages 35 and 36 because he thought it would be safer in the book rather than under the book. One of them is lying. Who? Why?
Answer: Because odd numbers are always on the right side of the page, pages 35 and 36 are on the same piece of paper so the butler was lying because you can't put anything between one piece of paper.


5. I was born on August 1, 25 B.C. I died on August 1, 25 A.D. How old was I when I died?
Answer:49. There was no year called zero.


6. In front of you are three light switches. Only one does anything, and it turns on the light downstairs. From here you can't see the light, and it makes no sound. You must determine which switch operates the light, but you can only go check it once. How do you figure out which switch is for the light?
Answer: Flip any switch you want. wait for about 5-10 minutes to let the bulb heat up. Flip that same switch off, and another one on. Go check the light. If it's hot, it was the first switch, if it's on it was the second and if it's cold and off, it was the last one.


7. Let's say you have a garden. On day one, there is only one weed. If the number of weeds doubles every day, and the garden is full of weeds on the 30th day, how many days will it take to fill the garden if we start with two weeds?
Answer: 29 days. Its just like you started on day two.


8. Are these 4 statements logically compatible?
#1-Some mathematicians are philosophers.
#2-Immortals are ignorant of philosophy
#3-No poet practices mathematics.
#4-All mortals are poets.
Answer: Start with the statement #2. If immortals are ignorant of philosopy, philosophers must be mortals, otherwise they would be ignorant of philosopy. Since statement #4 says all mortals are poets, philosophers must be poets. Since statement #3 says no poet practices mathematics, no philosopher does either. So, a mathematician cannot be a philosopher, which makes statement #1 inconsistent with the other 3 statements.


9. Mary told her class that today was the birthday of both her father and her grandfather and that they were exactly the same age. Her teacher said that was impossible, but Mary insisted she was right. Can you explain how she could be right?
Answer: Her father, for example, could be 50 and her mother's father, her maternal grandfather, could be 50. Her mother is obviously very much younger than her father.


10. A man has just finished painting his house and needs something. He goes to a hardware store and asks for help in finding what he needs. The clerk shows him where the objects are and tells him that they cost $1 each. The man says: "I'm taking 600, so here's $3." What did he buy?
Answer: His house number.


11. "A" said : "One of us is lying.
"B" said : "No, I tell you two of us are lying.
"C" said : "Look here, three of us are lying.
"D" said : "Nope, not true! Four of us are telling the truth.
"So who is telling the truth?
Answer: "C" is telling the truth.


12. If you were to put a coin into an empty bottle and then insert a cork into the neck, how could you remove the coin without taking out the cork or breaking the bottle?
Answer: Push the cork into the bottle and shake the coin out.


13. You have 2 ropes. One rope burns for 1 hour, the other burns for 2 hours. The problem is that the roes burn irregular. The last few inches may burn longer than first few inches. Using the 2 ropes how can you create a rope that burns for exactly 45 minutes. Remember, cutting them does no good since you dont know how long the cut rope lasts.
Answer: You burn both sides of the 1 hour rope and 1 side of the 2 hour rope at the same time. Regardless of the varying speeds of the one hour rope, when it goes out it has been 30 minutes. At that point there would be 1 hour and 30 minutes left on the 2 hour rope. You then light the other end of the 2 hour rope and since the burning time would be cut in half the rope would be 45 minutes long.


14. Two persons want to copy three 60 minute tapes. They have two tape recorders that will dub the tapes for them. So they can do two at a time, it takes 30 minutes for each side to complete. Therefore in one hour two tapes will be done, and another hour the third will be done. The first persons says all three tapes canbe made in 90 minutes. How?
Answer: Let's call the tapes 1, 2, and 3 with sides A and B. In the first 30 minutes they will tape 1A and 2A, in the second 30 minutes they will tape 1B and 3A (Tape 1 is now done). Then finally in the last 30 minutes they will tape 2B and 3B.


15. You have two ropes. Each takes exactly 60 minutes to burn. They are made of different material so even though they take the same amount of time to burn, they burn at separate rates. In addition, each rope burns inconsistently. How do you measure out exactly 45 minutes?
Answer: Take one rope and burn it at both ends. At the same time, burn one end of the other rope. When the first rope finishes burning (i.e. 30 minutes), light the other end of the remaining rope (half of the remaining 30 minutes gives you 15 minutes) When it burns out, that's 45 minutes elasped.

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