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30 May 2024, 12:16
Kudos
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B
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Difficulty:
65%
(hard)
Question Stats:
69% (02:09) correct
31%
(02:19)
wrong
based on 896
sessions
History
Date
Time
Result
Not Attempted Yet
Candidates A, B, and C competed in an election. This election usually comprises two rounds. In the first round, all three candidates compete. A candidate qualifies for the second round only if he/she receives at least 20% of the votes cast in the first round. If two candidates receive less than 20% of the votes cast, the other candidate wins the election by default. If a candidate receives more than 60% of the votes in the first round, he/she wins the election without the second round. Was there a second round of election?
(1) The votes received by Candidates A and B together is 82% of the total votes cast.
(2) The votes received by Candidates C and B together is 42% of the total votes cast.
(1) The votes received by Candidates A and B together is 82% of the total votes cast.
(2) The votes received by Candidates C and B together is 42% of the total votes cast.
31 May 2024, 09:12
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Bunuel
(1) The votes received by Candidates A and B together is 82% of the total votes cast.
So, C gets 18% of votes.
If any of A and B gets less than 20% votes, then the other wins directly.
But, both A and B can also get more than 20% votes, leading to second round => A = 42%, B=40% and C=18%....Second round
A=61%, B=21% and C=18%....No second round
Insufficient
(2) The votes received by Candidates C and B together is 42% of the total votes cast.
So, A receives 100-42 or 58%.
B+C = 42%, so at least one of them gets more than 20% votes.
Thus, none of the candidate gets >60% and at least two of them get more than 20%. Hence there will certainly be a second round.
Sufficient
B
General Discussion
06 May 2025, 05:26
Kudos
Bookmarks
Candidates A, B, and C competed in an election. This election usually comprises two rounds. In the first round, all three candidates compete. A candidate qualifies for the second round only if he/she receives at least 20% of the votes cast in the first round. If two candidates receive less than 20% of the votes cast, the other candidate wins the election by default. If a candidate receives more than 60% of the votes in the first round, he/she wins the election without the second round. Was there a second round of election?
All the information in the passage boils down to one thing: If one candidate wins over 60% of the votes in the first round, there will be no second round. Otherwise, there will be a second round.
After all, if two candidates receive less than 20% each, then the third candidate receives over 60%.
So, with regard to how many rounds there will be, the information presented all means the same thing.
(1) The votes received by Candidates A and B together is 82% of the total votes cast.
This information indicates that C received under 20% of the votes since 100% - 82% = 18%.
At the same time, it does not indicate whether A or B did or did not win over 60% of the votes.
Insufficient.
(2) The votes received by Candidates C and B together is 42% of the total votes cast.
Since 42% < 60% and 100% - 42% < 60%, this information indicates that no candidate won over 60% of the votes.
So, it confirms that there will be a second round.
Sufficient.
Correct answer: B
All the information in the passage boils down to one thing: If one candidate wins over 60% of the votes in the first round, there will be no second round. Otherwise, there will be a second round.
After all, if two candidates receive less than 20% each, then the third candidate receives over 60%.
So, with regard to how many rounds there will be, the information presented all means the same thing.
(1) The votes received by Candidates A and B together is 82% of the total votes cast.
This information indicates that C received under 20% of the votes since 100% - 82% = 18%.
At the same time, it does not indicate whether A or B did or did not win over 60% of the votes.
Insufficient.
(2) The votes received by Candidates C and B together is 42% of the total votes cast.
Since 42% < 60% and 100% - 42% < 60%, this information indicates that no candidate won over 60% of the votes.
So, it confirms that there will be a second round.
Sufficient.
Correct answer: B
