There are cats got together and decided to kill the mice of 999936. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Choose the correct choice from the following
A) 941,1009
B) 991,1001
C) 991,1009
D) 992,1008
E) 931,1009
999936 can be written as 1000000 â€“ 64   = 10002 â€“ 82 ie of the form a2-b2=(a+b)(a-b)   =(1000+8)*(1000-8)   = (1008)*(992)   Given that number of cats is less than number if mice.   So number of cats is 992 and number of mice were 1008   Answer 992,1008
<result>D</result>
There are cats got together and decided to kill the mice of 999936. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?