A survey of potential voters was conducted to determine the

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Mon Feb 11, 2019 5:21 am

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A survey of potential voters was conducted to determine the likelihood that ordinance A would be passed. 40 percent of those surveyed indicated they were not likely to vote, while the remainder indicated that they were likely to vote. Of those who indicated they were likely to vote, 35 percent indicated that they supported ordinance A, 25 percent indicated that they were undecided, and the remainder indicated that they did not support ordinance A. What percentage of potential voters are likely to vote against ordinance A?

A. 18%
B. 20%
C. 24%
D. 30%
E. 36%

OA C

Source: Princeton Review

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Source: Beat The GMAT — Problem Solving | Mon Feb 11, 2019 5:21 am

swerve: Legendary Member; Posts: 2575; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Mon Feb 11, 2019 9:03 am

Let the number of potential voters be 100.

Person not likely to vote = 40% = 40, so person likely to vote = 100 - 40 = 60

% who would not support ordinance A = (100 - 35 - 25)% = 40%

So in number = 40% of 60 = (60*40)/100 = 24

24 as % of 100 is (100*24)/100 = 24%.

Hence, the correct answer is ___C___

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8198; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Feb 12, 2019 7:26 pm

BTGmoderatorDC wrote:A survey of potential voters was conducted to determine the likelihood that ordinance A would be passed. 40 percent of those surveyed indicated they were not likely to vote, while the remainder indicated that they were likely to vote. Of those who indicated they were likely to vote, 35 percent indicated that they supported ordinance A, 25 percent indicated that they were undecided, and the remainder indicated that they did not support ordinance A. What percentage of potential voters are likely to vote against ordinance A?

A. 18%
B. 20%
C. 24%
D. 30%
E. 36%

OA C

Source: Princeton Review

We can let n = the total number of voters.

Thus, 0.6n are likely to vote.

Since 100 - 35 - 25 = 40 percent of likely voters said they will vote against ordinance A, 0.4(0.6n) = 0.24n voters will vote against it.

So 0.24n/n = 0.24 = 24% of the potential voters are likely to vote against it.

Answer: C

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