Dance School Students

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jayanti: Senior | Next Rank: 100 Posts; Posts: 72; Joined: Tue Apr 19, 2011 6:58 am; Followed by:6 members

Dance School Students

by jayanti » Sun Aug 07, 2011 10:31 pm

If 4 students were added to a dance class, would the teacher be able to divide her students evenly into a dance team (or teams) of 8?

(1) If 12 students were added, the teacher could put everyone in teams of 8 without any leftovers.

(2) The number of students in the class is currently not divisible by 8

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Source: Beat The GMAT — Data Sufficiency | Sun Aug 07, 2011 10:31 pm

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by gmatboost » Sun Aug 07, 2011 11:43 pm

Statement 1:
Adding 12 is basically the same thing as adding 4 in this case, since the additional 8 (from 12 - 4) would form their own team of 8.

So, if 12 works, then 4 should work as well. Sufficient.

Statement 2:
We could be 4 short of perfect, in which case adding 4 would work well. Or, we could be (for example) 5 short of perfect, in which case adding 4 would leave us still lacking 1 person to be divisible by 8. Insufficient.

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