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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

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

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: Beat The GMAT — Problem Solving | Thu Feb 15, 2018 4:57 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

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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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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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