Mathematical Puzzle
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John recently traveled from his home town to a distant Conference, on a pedal tricycle of all things! his wonderful, three wheeled tricycle.
He knew that the epic 2,345 mile trip would wreak havoc on the tyres, so, he took along 4 spares!
Instead of waiting for any single Tyre to fail, he decided that he would rotate the tyres evenly, making sure that by the end of the trip all seven tyres had traveled exactly the same distance.
What was the distance that each Tyre traveled ?
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Two friends were driving from their home to Manchester, Kevin drove the first 90 miles, and Daniel took over the remainder of the journey.
On the way back, Kevin drove to begin with, and Daniel took over for the last 100 miles.
Who drove the furthest?
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Can you find a five digit number that, if you place a 1 at the beginning to make a new number, is three times larger than if you place the 1 at the end instead?
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Train A, traveling 70 miles per hour (mph), leaves Mexico city heading toward Atlixco city, 260 miles away.
At the same time,
Train B, traveling 60 mph, leaves Atlixco city heading toward Mexico city.When do the two trains meet? How far from each city do they meet?
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What if somebody offered to bet that at least two people in your Social group had the same birthday?
Would you take the bet?
How large must a social group be to make the probability of finding two people with the same birthday at least 50%?
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