Thursday, November 26, 2009

Not-so quick Brainteasers

1. Two trains are on the same track 300 km apart, facing each other. The train drivers, who have just finished their lunch, immediately leap into their trains and start speeding at each other (for unknown reasons). One train is driving at 92 km/h, the other is driving at 87 km/h. How long will it take for them to collide?

2. Two friends are going to take an eye exam. The first, named Ahmapook, takes her eye exam, while the second, Bahmapook, waits for his turn. In the end, he gets so bored that he takes out his camera and snaps a few pictures of himself. When it is his turn, Bahmapook accidentally knocks over a sign in front of him. He puts it back upright and goes in for his exam. When he comes out, the two friends go to the counter. They had exactly the same test and they did not buy anything. Yet Ahmapook's bill is $100, and Bahmapook's bill is $1000. Why? (Hint: Bahmapook did not do any damage to the sign he knocked over)

3. 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 ... = (I got this problem from a book called "Poincare's Prize")

4. If 32 frogs can eat 32 flies in 32 minutes, How many flies are needed to eat 128 flies in 2 hours 8 minutes?

7 comments:

  1. 1. Logic question or Math question?

    2. Could it be that the sign said No Photography allowed: Fine $900?

    3. 2

    4. 32 frogs

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  2. I can't tell you, that would be cheating! :D

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  3. Is 1 hr and 40 mins correct?

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  4. 1 hour and 40 minutes is incorrect. Do you want to try again?

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  5. 1. The train never collide! they are on different track?

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  6. So what is the correct timing and how do you calculate?

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