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by Ashujain » Mon May 28, 2012 5:03 am
A drama teacher decided to distribute free passes to the members of her latest production, with fixed numbers of tickets allotted to each of the lead cast members, supporting cast members, extra cast members, and crew, respectively. If Martha and Mary both worked on the play, did Martha receive more free passes than did Mary?

(1) The lead cast members of the play received 40% of the passes, the supporting cast members received 20% of the passes, the extra cast members received 20% of the passes, and crew received 20% of the passes.

(2) Martha is not a lead cast member.
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by sanju09 » Mon May 28, 2012 5:36 am
Ashujain wrote:A drama teacher decided to distribute free passes to the members of her latest production, with fixed numbers of tickets allotted to each of the lead cast members, supporting cast members, extra cast members, and crew, respectively. If Martha and Mary both worked on the play, did Martha receive more free passes than did Mary?

(1) The lead cast members of the play received 40% of the passes, the supporting cast members received 20% of the passes, the extra cast members received 20% of the passes, and crew received 20% of the passes.

(2) Martha is not a lead cast member.

Statement (1) doesn't mention the specific identities of Martha and Mary in the play; hence it's not sufficient alone.

Statement (2) is also insufficient with so many information missing.

Taken together

If Martha is not a lead cast member, then she must have received any number of passes from 20% of the passes we don't know, and Mary could have received any number of passes from 20% or 40% of the passes we don't know. I hope the question is worded nicely to

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