Measure Time with Candle

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five 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 two digits are divisible by 2.
First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
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Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
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Can you count the number of quadrilaterals in the picture below?

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Gambling

In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.