### Editorial / Best Answer

**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.

## To find the number of cats.

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## Editorial / Best Answer

anirban_goswamiProfile Answers by anirban_goswami Questions 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.

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