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 Aptitude  |  Question 37 of 41    Print  
To find the 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?


  
Total Answers and Comments: 3 Last Update: June 23, 2008     Asked by: neepabiswas 
  
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 Best Rated Answer
Submitted by: anirban_goswami
 
No. of cats = x(say)
Therefore, no. of mice killed by each cat = 999919/x (since, they killed equal no. of mice)
 Now, given that
                        
                         (999919/x) is greater than x, i.e
                        
                           999919/x > x, implies x*x<999919

Therefore,  x <  999.95(approx). Now, the only no. which is nearest to but less than 999.95 and is a factor of 999919 is 991.

Thus,  x = 991 and no. of mice = 999919/991 = 1009.

Above answer was rated as good by the following members:
MERLIN DAVIS, rajani_vaddepalli15
February 21, 2008 03:02:23   #1  
vikash08 Member Since: February 2008   Contribution: 1    

RE: To find the number of cats.
991,

no of cats=991
and
no of rats =1009

 
Is this answer useful? Yes | No
March 11, 2008 17:48:38   #2  
anirban_goswami Member Since: February 2008   Contribution: 1    

RE: To find the number of cats.
No. of cats = x(say)
Therefore, no. of mice killed by each cat = 999919/x (since, they killed equal no. of mice)
 Now, given that
                        
                         (999919/x) is greater than x, i.e
                        
                           999919/x > x, implies x*x<999919

Therefore,  x <  999.95(approx). Now, the only no. which is nearest to but less than 999.95 and is a factor of 999919 is 991.

Thus,  x = 991 and no. of mice = 999919/991 = 1009.

 
Is this answer useful? Yes | NoAnswer is useful 2   Answer is not useful 0Overall Rating: +2    
June 23, 2008 10:15:30   #3  
madhasankar Member Since: June 2008   Contribution: 2    

RE: To find the number of cats.
fifteen
 
Is this answer useful? Yes | NoAnswer is useful 0   Answer is not useful 1Overall Rating: -1    


 
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