The Game of Cats and Mice

Number Theory Level 2

A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice.

How many cats do you think there were?

Oh by the way let me clarify just two points – it is not one cat killed the lot, because I have said 'Cats' and it is not 999919 cats each killed one mouse, because I have used the word 'mice'.

I can give you just one clue – Each cat killed more mice than there were cats


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