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anwarma: Senior | Next Rank: 100 Posts; Posts: 56; Joined: Sat May 24, 2008 5:18 pm; Thanked: 1 times

by anwarma » Tue Jun 10, 2008 9:02 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 sing was selected 4 times, how many students were surveyed?

(A) 96
(B) 48
(C) 32
(D) 24 <<-- ANSWER
(E) 18

So How I solve this problem?

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Source: Beat The GMAT — Problem Solving | Tue Jun 10, 2008 9:02 am

egybs: Master | Next Rank: 500 Posts; Posts: 178; Joined: Wed May 14, 2008 3:51 pmFollowed by: 1 member; Thanked: 16 times; GMAT Score:99%+

by egybs » Tue Jun 10, 2008 9:11 am

We know that there will have to be 48 total song choices since 12 * 4 = 48.

Since there are 2 choices per student, we know that there must be 24 students because 48/2 = 24.

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