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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 Dan could have received?
  • a)
    20
  • b)
    19
  • c)
    18
  • d)
    17
  • e)
    16
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
There were 5 candidates (Alexa, Bill, Charlie, Dan, and Ernie) vying f...
In order to maximize Dan's votes, we need to ensure that Bill, Charlie, and Dan receive as many votes as possible while minimizing the difference between their vote counts, with a minimum difference of 1. Additionally, we aim to minimize the number of votes received by Ernie to just 1 vote.
Given that Alexa received 40 votes, let's denote the number of votes received by Dan as x. Thus, the number of votes received by Bill would be x+2, Charlie would receive x+1 votes, and Dan himself would receive x votes. Lastly, Ernie's vote count is represented by d.
The total number of votes is calculated as follows: 40 + (x+2) + (x+1) + x + d = 100
Simplifying the equation, we have: 43 + 3x + d = 100
To further analyze the situation, we note that 3x is equivalent to 57 - d. Therefore, x is determined as follows: x = 18
Since d cannot be 0 and must be at least 3, we arrive at the conclusion that x equals 18.
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The table above gives information about the voting patterns in United States presidential elections from 1960 to 2008. In addition to giving the name and the political party of the President elected in each year, the table provides the total popular vote and electoral vote that the winner received in that election, as well as the percentage of the total vote that each figure represents.Each column of the table can be sorted in ascending order by clicking on the word “Select” above the table and choosing, from the dropdown menu, the heading of the column on which you want the table to be sorted.Alternate Sort 1: Electoral VoteAlternate Sort 2: Percent of Popular VoteQ. Consider each of the following statements. Does the information containedin the two emails and the memorandum support the inference as stated?The President who received the median number ofelectoral votes also received the median number ofpopular votes.

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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 Dan could have received?a)20b)19c)18d)17e)16Correct answer is option 'C'. Can you explain this answer?
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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 Dan could have received?a)20b)19c)18d)17e)16Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 Dan could have received?a)20b)19c)18d)17e)16Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 Dan could have received?a)20b)19c)18d)17e)16Correct answer is option 'C'. Can you explain this answer?.
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