vprabhala wrote:
Representation in a local community board is based on the community’s population, with 25 board members representing the first 500,000 people, and each additional board member representing an additional 30,000 people. Is the population of the town less than 500,000?
(1) There were 23 members on the community board.
(2) If the population were three times as large, the community board would have had 51 members.
I know the OA. and I know that B is sufficient. Why A? Doesn't the question say that 25 board members representing 500,000. I understood the question that for the first 500,000 people it is 25 board members. so any between 0-500,000 shld be 25 board members. where am I going wrong?
Hi Vprabhala,
Maybe my thoughts on this might be helpful.
The problem states that for the first 500,000 people, there're 25 representatives. Note that it does not specify how the the number of representatives varies when the population is less than 500,000. We assume here that for lesser population, the representatives would be less.
Furthermore, they have not specified the "gradient" of variation of representatives for population < 500,000. This makes you impossible to provide any counterargument to some fairly absurd assertion like "there're 30 representatives for any population and they decrease with population increase at a constant rate from 0 to 500,000 when they're 25 at the 500,000 mark".
Thus going by the above logic, we can only assume that the case of 23 representatives is a case for which we hav been provided no prior information, and thus is an unconnected one.
Hope that helps.
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