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All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of...

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by BTGmoderatorLU » Tue May 26, 2020 6:49 am

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Source: GMAT Prep

All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?

1) In club Y the number of female members is one less than the number of male members.
2) In club Y the number of male Republican members is equal to the number of female Democratic members.

The AO is B
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Re: All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of...

by Jay@ManhattanReview » Wed May 27, 2020 6:12 am
BTGmoderatorLU wrote: ↑
Tue May 26, 2020 6:49 am
 Source: GMAT Prep

All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?

1) In club Y the number of female members is one less than the number of male members.
2) In club Y the number of male Republican members is equal to the number of female Democratic members.

The AO is B
Say there x men and y women in the club.

Thus, there are x/2 +3y/5 Democrats in the club.

We have to find out the value of x/y.

Let's take each statement one by one.

1) In club Y the number of female members is one less than the number of male members.

x – y = 1. Insufficient.

2) In club Y the number of male Republican members is equal to the number of female Democratic members.

=> x/2 = 3y/5

x/y = 6/5. Sufficient.

The correct answer: B

Hope this helps!

-Jay
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