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enrolled in the course C?

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by sanju09 » Thu Feb 09, 2012 4:28 am
Only 176 students were enrolled in certain course C. How many girls were enrolled in the course C?
I. The total number of boys or girls enrolled in the course C is divisible by 16.
II. The total number of boys enrolled in the course C is divisible by 5.




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by Brent@GMATPrepNow » Thu Feb 09, 2012 9:39 am
sanju09 wrote:Only 176 students were enrolled in certain course C. How many girls were enrolled in the course C?
I. The total number of boys or girls enrolled in the course C is divisible by 16.
II. The total number of boys enrolled in the course C is divisible by 5.

[spoiler]made up by Sanjeev K Saxena for Avenues Abroad[/spoiler]
Let B= # of boys
Let G= # of girls

Target question: What is the value of G?

Statement 1: The total number of boys or girls enrolled in the course C is divisible by 16.
Are you saying that either B or G is divisible by 16? Or are you saying that both are divisible by 16?

Either way, I believe that the answer is E.

Given that there are a couple of problems with this question, I'll cut to the chase. . .

Statements 1&2
case a: B=0 and G=176
case b: B=80 and G=96

Aside: 0 is divisible by 5 and by 16.
Since no provision was made that stipulated B>0, we can include this as one of the possibilities.

Since we cannot definitively answer the target question, the combined statements are INSUFFICIENT and the answer is E

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Brent
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