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# If 4 students were added to a dance class, would the teacher

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Intern
Joined: 25 May 2008
Posts: 39
If 4 students were added to a dance class, would the teacher  [#permalink]

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17 Dec 2008, 06:13
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Question 35

If 4 students were added to a dance class, would the teacher be able to divide the students evenly into 1 or more dance teams of 8?

1. If 12 students were added, the teacher could divide the students evenly into teams of 8.

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

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Intern
Joined: 01 Dec 2008
Posts: 27
Schools: Stern, Fuqua
Re: DS: Students in a dance class  [#permalink]

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17 Dec 2008, 06:32
hbs2012 wrote:
Question 35

If 4 students were added to a dance class, would the teacher be able to divide the students evenly into 1 or more dance teams of 8?

1. If 12 students were added, the teacher could divide the students evenly into teams of 8.

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

I say A

1. if 12 are added could divide evenly by 8...
works for 4, 12, 20...mults of 4 but not mults of 8. add 4 to each of these and u get a # divisible by 8...

2.doesn't work alone, and statement 1 shows us that has to be a mult of 4 but not 8, so we dont need this.
SVP
Joined: 29 Aug 2007
Posts: 2139
Re: DS: Students in a dance class  [#permalink]

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17 Dec 2008, 11:23
hbs2012 wrote:
Question 35: If 4 students were added to a dance class, would the teacher be able to divide the students evenly into 1 or more dance teams of 8?

1. If 12 students were added, the teacher could divide the students evenly into teams of 8.
2. The number of students in the class is currently not divisible by 8.

It is A.

Statement 1 says that (x+12) = 8k where x is no of students in a dance class and k is an integer. So if 4 added, x+4 has to be divided by 8 because (x+12) = (x+4+8) and it 8 is taken out, (x+4) remain and it is divisible by 8. so St. 1 is Suff.

Statement 2 says that x is not divisible by 8 means x could be even or odd. Even if it is even, x is not divisible by 8. If it is odd, no question. Hence insuff.

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This discussion does not meet community quality standards. It has been retired.

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To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: DS: Students in a dance class   [#permalink] 17 Dec 2008, 11:23
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# If 4 students were added to a dance class, would the teacher

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