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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] New post 13 Apr 2004, 17:20
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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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Re: DS [#permalink] New post 13 Apr 2004, 17:24
shubhangi wrote:
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.


Is x+4 = 0 (8) ?

(1) x+12 = 0 (8)
(2) x <> 0 (8)

(1) x+4 = 0 (8) sufficient
(2) x+4 <> 4 (8) Insufficient.

Answer is A
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 [#permalink] New post 21 May 2004, 08:30
shubhangi, can you provide any answers please?
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 [#permalink] New post 21 May 2004, 08:35
A for me as well.

a) Smallest number of teams is 2 so there must be 16-12 = 4 students
if 4 are added then only one team can be formed. This satisfies the question.

b) we dont know how many students are there to begin with. It could be 1 2 or 3 or 4
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 [#permalink] New post 24 May 2004, 05:12
from (1) X+12= 8a
therefore, X= 8a-12

if students are added, 8a-12+4 = 8(a-1) . therefore A
(B) obviously adds no value by itself.
  [#permalink] 24 May 2004, 05:12
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