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In a survey of students, each student selected from a...

Expert replies
by swerve » Thu Feb 15, 2018 4:57 am
In a survey of students, each student selected from a list of 12 songs the 2 songs that the student liked best. If each song was selected 4 times, how many students were surveyed?

A. 96
B. 48
C. 32
D. 24
E. 18

The OA is D.

Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. Thanks.
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Source: — Problem Solving |

by GMATGuruNY » Thu Feb 15, 2018 5:09 am
swerve wrote:In a survey of students, each student selected from a list of 12 songs the 2 songs that the student liked best. If each song was selected 4 times, how many students were surveyed?

A. 96
B. 48
C. 32
D. 24
E. 18
Since the each of the 12 songs is selected 4 times, the total number of song selections = 12*4 = 48.
Since each student makes 2 selections, we get:
Number of students = (total selections)/(selections per student) = 48/2 = 24.

The correct answer is D.
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by Scott@TargetTestPrep » Mon Feb 19, 2018 3:02 pm
swerve wrote:In a survey of students, each student selected from a list of 12 songs the 2 songs that the student liked best. If each song was selected 4 times, how many students were surveyed?

A. 96
B. 48
C. 32
D. 24
E. 18
Since each of the 12 songs was selected 4 times, thus there were a total of 12 x 4 = 48 song selections. Since each student had 2 song selections, there must be 48/2 = 24 students.

Answer: D

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