For the system [q: 30, 10, 6], which of the following cannot be the quota q?
A) 24
B) 32
C) 40
D) 47

Question

Quizplus · Accepted Answer

To determine if a quota is possible, we need to see if it is the sum of some combination of the divisors of the total number of voters (here, 46). If we add the divisors, we get:

1 + 2 + 23 + 46 = 72.

Therefore, any quota less than or equal to 72 is possible. Thus, 24, 32, and 40 are all possible quotas, but 47 is not possible as it is greater than 72.

For the System [Q: 30, 10, 6], Which of the Following