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Problem : Data Sufficiency - 2

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by 6983manish » Mon Mar 28, 2011 1:17 am
What percent of the MIS students enrolled at Wisconsin University are female?

1. 5% of female students at Wisconsin University are studying MIS.
2. 12% of male students at Wisconsin University are studying MIS.
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Source: — Data Sufficiency |

by Anurag@Gurome » Mon Mar 28, 2011 2:55 am
6983manish wrote:What percent of the MIS students enrolled at Wisconsin University are female?

1. 5% of female students at Wisconsin University are studying MIS.
2. 12% of male students at Wisconsin University are studying MIS.
Let the no. of females at MIS enrolled at Wisconsin University = F, and
Let the no. of males at MIS enrolled at Wisconsin University = M
and let total no. of females enrolled at Wisconsin University = x and total no. of males enrolled at Wisconsin University = y.
So, we have to determine the value of F/(F + M).

(1) 5% of x = F or 0.05x = F. It's evident that we cannot find the value of F/(F + M) from this information.
So, (1) is NOT SUFFICIENT.

(2) 12% of y = M or 0.12y = M. Again we cannot find the value of F/(F + M) from this information.
So, (2) is NOT SUFFICIENT.

Next combining (1) and (2), we get 0.05x/{0.05x + 0.12y}= F/(F + M). Again it can be seen that we cannot find the required value from the above equation.

The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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