boomtangboy wrote:
Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast?
(1) Candidate F received 11 of the votes.
(2) Candidate H received 14 of the votes.
I got the answer incorrect but think the OA is wrong.
This is testing averages and distribution.
So, we have 40 votes to distribute to 3 candidates. The extreme way to get most votes is to have the other two candidates get just one vote each.
1,1,38
The most conservative way to get most votes is to distribute the votes equally and offset one vote to one candidate to make it the winner. 40/3=13 with a remainder of 1.
13,13,14
Therefore the candidate with the most votes v is like this 14 < v < 39
(1) if Candidate F has 11 then he surely did not get the v we are looking for. 11 could never be a value for the most vote. SUFFICIENT
(2) if Candidate H received 14.
If distribution is 14,13,13 then H got the most vote and not F.
If distribution is 14,1,25 then Either F or the other got the most vote.
INSUFFICIENT
Answer: A