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Puzzle A

Puzzle A. Puzzle B. A number has 5 digits but none of the digits in the number are repeated. This even number is greater than 20000 but less than 77777. The digit in the thousands place is 3 times the digit in the ten thousands place.

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Puzzle A

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  1. Puzzle A Puzzle B

  2. A number has 5 digits but none of the digits in the number are repeated. • This even number is greater than 20000 but less than 77777. • The digit in the thousands place is 3 times the digit in the ten thousands place. • The ones digit is less than the ten thousands digit and the ones digit is also a prime number. • The hundreds digit is half the sum of the ones, thousands, and ten thousands digits. • Lastly, the tens digit is the product of two other digits. • What is this five-digit number?

  3. You're a cook in a restaurant in a quaint country where clocks are outlawed. You have a four minute hourglass, a seven minute hourglass, and a pot of boiling water. A regular customer orders a nine-minute egg, and you know this person to be extremely picky and will not like it if you overcook or undercook the egg, even by a few seconds. What is the least amount of time it will take to prepare the egg, and how will you do it?

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