BTGmoderatorDC wrote:All attendees at a university gathering are faculty or alumni of the university. Are any of the attendees both faculty and alumni?

(1) 3/5 of the attendees are members of the university faculty

(2) 40% of the attendees are not members of the university faculty

Neither statement offers any information about the number of attendees who are alumni.
Thus, the two statements combined are INSUFFICIENT.

The correct answer is E.

Are any of the attendee both faculty and admin?
Statement 1
3/5 of the attendee are member of the university faculty
we are not given any information about total number of attendees or total numbers of alumni
hence statement 1 is INSUFFICIENT

Statement 2
40% of the attendee are not members of university faculty.
The remaining 60% can be alumni or both alumni and faculty
information given is not ENOUGH to find out if any of the members are faculty and alumni members

Statement 1 and 2 together
None of the two statements provide information about the total attendee hence it is NOT SUFFICIENT

$$Answer\ is\ option\ E$$

BTGmoderatorDC wrote:All attendees at a university gathering are faculty or alumni of the university. Are any of the attendees both faculty and alumni?

(1) 3/5 of the attendees are members of the university faculty

(2) 40% of the attendees are not members of the university faculty

Source: Veritas Prep

In the Venn diagram shown below I present a (1+2) BIFURCATION, that is, two possible viable scenarios for (1+2).




The correct answer is therefore (E).


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.