Bunuel wrote:

At the 2016 convention for Aim Far Motivational Society (AFMS), each AFMS member had the option of inviting just one non-member guest. Attending as the single guest of a member is the only way a non-member would be able to attend the convention. At the 2016 convention, of the AFMS Convention Hall’s seats, 60% were occupied by AFMS members and 10% were occupied by non-member guest. How many seat does the AFMS Convention Hall have?

(1) If 60% of the members who didn’t bring a guest instead had brought one, then the hall would have been 100% full.

(2) The number of empty seats was half the number of the AFMS members present.

(1) If 60% of the members who didn’t bring a guest instead had brought one, then the hall would have been 100% full.

Since we are given that 10% are filled by non-members and 60% is filled by members, we can conclude that 50% of members did not bring guests.

If 60% of 50% had brought guests, full seats would have been full. i.e 30% more people would have filled full seats. But we are not given any number to work on percentage.

Not sufficient.

(2) The number of empty seats was half the number of the AFMS members present.

Empty seats were 60%/2= 30%. But, again we are not given any numbers to work with. Not sufficient.

Combining both statements is not sufficient since no number is given.

E is the answer

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