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

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

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New post 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.


Please help

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Re: DS: Students in a dance class [#permalink]

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New post 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.


Please help


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.

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Re: DS: Students in a dance class [#permalink]

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New post 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.

Please help


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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Re: DS: Students in a dance class   [#permalink] 17 Dec 2008, 11:23
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