Answered Questions

  • 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?

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    anirban_goswami  

    • Member Since Feb-2008 | Mar 11th, 2008


    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.