Question

a certain number of cats eats a certain number of mice over a period of several days.each cat eats the same number of mice .which is greater than the number of cats.if there are atleast 3 cats and the total number of mice eaten is 999919,how many cats were there?

Answer 1

say wht?

Answer 2

Sounds like they want you to factor 999919.

Answer 3

9 cats

Answer 4

let c and m be cats and mice
now c>=3
if each cat eats n mice,
nc=999919=1000000 - 81= 1000^2 - 9^2 = (1009)*(991)
also, m>c

so c should be the lesser one..991 might be the ans..

Answer 5

i dont understand what use do we make of this : c>=3

Answer 6

ohh,,well maybe because c=1 had been another ans of this info was not given..hmmn..

Answer 7

yh.. @shubhamsrg :)
i used the same logic. did a mistake in numbers and got 9

Answer 8

Yes, that sounds correct. Since the factors are 1,991,1009,999919, they stated there was one than more cat so that someone couldn't say 1 cat ate them all.

Answer 9

isn't this like 3 roosters lay 3 eggs per week. how many eggs will 6 roosters lay?

i find it similar ;)