Music club and drama club

[vivekjaiswal]

If the drama club and the music club are combined, what percent of the combined membership will be male?

1. of the 16 members of the drama club, 15 are male.
2. of the 20 members of the music club, 10 are male.

OA E

I chose C, please explain why my answer is wrong.
This is a gmatprep question so no explanation available

P.S. - apologies if this is a repeat post, tried looking for the same but was taking too much time


Thanks,
Vivek

[papgust]

Wow it's too tricky. Vivek, i guess we need to consider the overlap between drama and music clubs when it is combined.

While solving, you considered only the exclusive sets factor but not the overlap sets factor. After combining both statements, you don't know whether drama club members are also music club members and vice versa.

So, this must be the reason why the answer is E.


I should admit that even i wouldn't have marked the answer as E while doing a test. Only after looking at the OA, i came up with this reason.

[vivekjaiswal]

Wow it's too tricky. Vivek, i guess we need to consider the overlap between drama and music clubs when it is combined.

While solving, you considered only the exclusive sets factor but not the overlap sets factor. After combining both statements, you don't know whether drama club members are also music club members and vice versa.

So, this must be the reason why the answer is E.


I should admit that even i wouldn't have marked the answer as E while doing a test. Only after looking at the OA, i came up with this reason.

Oh! Thanks for disclosing your little secret about the OA

But hats off to you...you have come up with a very valid explanation...I think that satisfies me till something else rings in my head

Thanks again.

Cheers,
Vivek