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13 Jan 2021, 03:15
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (01:46) correct
22%
(01:49)
wrong
based on 88
sessions
History
Date
Time
Result
Not Attempted Yet
There were 5 candidates (Alexa, Bill, Charlie, Dan, and Ernie) vying for student council, and 100 total votes were cast. Everyone received at least one vote, and no two candidates received the same number of votes. Alexa won the election with 40 votes, Bill came in 2nd, Charlie in 3rd, Dan in 4th, and Ernie in last. What is the greatest number of votes that Charlie could have received?
A. 26
B. 27
C. 28
D. 29
E. 30
A. 26
B. 27
C. 28
D. 29
E. 30
13 Jan 2021, 03:24
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Total 100 votes
A - 40 votes
To maximize C we have to minimize others
Let's say D and E received 2 and 1 votes respectively
That leaves us with 57 votes for B and C. B must have won over C by minimum margin which is 1 vote.
This leaves B - 29 votes and C - 28 votes.
The answer is C
A - 40 votes
To maximize C we have to minimize others
Let's say D and E received 2 and 1 votes respectively
That leaves us with 57 votes for B and C. B must have won over C by minimum margin which is 1 vote.
This leaves B - 29 votes and C - 28 votes.
The answer is C
13 Jan 2021, 03:40
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Alexa got 40 votes, and therefore the remaining 4 received 60 votes.
Given that each candidate got at least 1 vote, and we have to find the greatest number of votes received by Charlie (who came in 3rd), and that the number of votes received is a distinct value.
Assume Dan and Ernie got 2 and 1 vote each. We need to get the least possible votes for Bill to maximize the votes for Charlie and that Bills votes is greater than that of Charlie
Remaining votes after deducting Alexa, Dan and Ernie's Votes = 100 - 40 - 2 - 1 = 57
Dividing by 2, we get 28.5. So Bill gets 29 votes and Charlie gets 57 - 29 = 28 votes.
Option C
Arun Kumar
Given that each candidate got at least 1 vote, and we have to find the greatest number of votes received by Charlie (who came in 3rd), and that the number of votes received is a distinct value.
Assume Dan and Ernie got 2 and 1 vote each. We need to get the least possible votes for Bill to maximize the votes for Charlie and that Bills votes is greater than that of Charlie
Remaining votes after deducting Alexa, Dan and Ernie's Votes = 100 - 40 - 2 - 1 = 57
Dividing by 2, we get 28.5. So Bill gets 29 votes and Charlie gets 57 - 29 = 28 votes.
Option C
Arun Kumar
