# Aptitude : find number of cats

A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?
This question is related to Aztec-Systems Interview

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#### ramsri_00 Profile Answers by ramsri_00

• Mar 22nd, 2010

Assume ,

n=Number of cats and
m=Number of mice per cat

Given that,
n*m=999919 and m>n

Solution,
n*m=(1000000-81)=1002-92=(100+9)*(100-9)=109*91=109*13*7
Finally , n*m=109*13*7

The following possibilities are rules out because m>n
 Number of Mice per cat (m) Number of cats(n) 91 109 7 109*13 13 109*7 1 109*7*13 109*13*7 1

So n and m can take the following values (possibly)
 Number of Mice per cat (m) Number of cats(n) 109 91 109*13 7 109*7 13

I think any of the above 3 could be the answer.
Let me know if you get to know any other solution!!!

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