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A list of numbers has six positive integers. Three of those integers are known: ...

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A list of numbers has six positive integers. Three of those integers are known: 4, 5 and 24 and three of those are unknown: x, y and z. The three unknowns are known to be distinct. It is also known that the mean of the list is 10 and median lies between 7 and 8 (exclusive). Which of the following cannot be the value of any one of the unknowns?

 

 

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