To solve this problem, let's assume there are "x" cats.
Given that each cat killed an equal number of mice, we can represent the number of mice killed by each cat as "m".
According to the problem statement, each cat killed more mice than the total number of cats. So, we can write the equation as follows:
m > x
The total number of mice killed is given as 999919, and we know that each cat killed an equal number of mice. Therefore, the total number of mice killed can also be expressed as:
m * x = 999919
Now, let's try to find the possible values of "x" by considering the options:
Option A) 991 cats:
If we assume there are 991 cats, then each cat would have killed approximately 1010 mice (999919/991 ≈ 1010). Here, the condition m > x holds true, as 1010 > 991.
So, Option A) is a possible solution.
Option B) 999 cats:
If we assume there are 999 cats, then each cat would have killed approximately 1000 mice (999919/999 ≈ 1000). Here, the condition m > x does not hold true, as 1000 is not greater than 999.
So, Option B) is not a possible solution.
Option C) 981 cats:
If we assume there are 981 cats, then each cat would have killed approximately 1019 mice (999919/981 ≈ 1019). Here, the condition m > x holds true, as 1019 > 981.
So, Option C) is a possible solution.
Option D) 989 cats:
If we assume there are 989 cats, then each cat would have killed approximately 1011 mice (999919/989 ≈ 1011). Here, the condition m > x holds true, as 1011 > 989.
So, Option D) is a possible solution.
Based on our analysis, the possible number of cats that satisfy the given conditions is 991.
Therefore, the correct answer is Option A) 991.