Number of graduates

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Number of graduates

by gmattesttaker2 » Sun May 25, 2014 9:15 pm
Hello,

For the following:

A business school event invites all of its graduate and undergraduate students to attend. Of the students who attend, male graduate students outnumber male undergraduates by a ratio of 7 to 2, and females constitute 70% of the group. If undergraduate students make up 1/6 of the group, which of the following CANNOT represent the number of female graduate students at the event?

A) 18
B) 27
C) 36
D) 72
E) 180

OA: B


I tried to solve using a Double Set Matrix:

------------------Male--------Female---------Total
Graduate 7x 2x 9x
Under Graduate - - (1/6)100
Total 30 70 100

Is it correct here to take the Total as 100 since it is mentioned that females constitute 70% of the group or should the total be an unknown x? Thanks for your help.

Regards,
Sri
Source: — Problem Solving |

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by theCodeToGMAT » Sun May 25, 2014 10:10 pm
[spoiler]{B}[/spoiler]
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