Time Measurement

Your job is to measure 45 minutes if you have only two cords and matches to light the cords.

1. The two cords are twisted from various materials, so their different segments can burn at different rates.
2. Each cord burns from end to end in exactly one hour.

Describe your way of measuring the 45 minutes.




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I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

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First five digits are divisible by 5.
First six digits are divisible by 6.
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If he committed suicide, how did he do it?

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Two natural numbers have a sum of less than 100 and are greater than one.

John knows the product of the numbers and Jacob knows the sum of numbers.

The following conversation takes place between them:
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Three cars are driving on a track that forms a perfect circle and is wide enough that multiple cars can pass anytime. The car that is leading in the race right now is driving at 55 MPH and the car that is trailing at the last is going at 45 MPH. The car that is in the middle is somewhere between these two speeds.
Right now, you can assume that there is a distance of x miles between the leading car and the middle car and x miles between the middle car and the last car and also, x is not equal to 0 or 1.
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If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?

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Replace the question mark with the correct number.

Replace the question mark

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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.