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# All of the members of club Y are either Democrats or

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Manager
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All of the members of club Y are either Democrats or [#permalink]

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08 Jan 2005, 14:10
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All of the members of club Y are either Democrats or Republicans. If 21of the male members and 53of 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.
Manager
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08 Jan 2005, 14:56
c

(1) Condition 1 alone gives us: Still not sufficient to find ratio of males/females
demo rep total
male 21 m
female 53 m-1
total 74

(2) Condition 2 alone give us

demo rep total
male 21 53 m
female 53 f
total 74

Although m=74, no hint for relation to f (Insufficient)

Combining 1+2, we can find ratio of m/f, thus c
VP
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09 Jan 2005, 10:19
C it is !

Democrats = 74

1) M=F+1 => insuff
2) M-21=53 => M=74 => insuff
1)+2) plugin 74 => M/F=74/73 => suff

why E?
Senior Manager
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09 Jan 2005, 10:33

A is insufficient because it only give you a relationship between the total no. of males and females without giving any numbers

B alone is insufficient because it gives you no idea how many female republicans thre would be

A and B together give number of republican males (53) and a relationship between the total number of males and females which enables you to calculate the ratio of males:females
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"No! Try not. Do. Or do not. There is no try.

Director
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09 Jan 2005, 13:51
the answer is C the ratio of male to female based on I and II will be

74/73
Manager
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09 Jan 2005, 15:46
Well, I too get C as my answer and the OA is E. Mmm...unless some of the club member is...bisexual! Just kidding

What is the official explanation, Janice?
Manager
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09 Jan 2005, 16:16
ThereÂ´s no oficial explanation thatÂ´s why I posted this message,so one of you can help figuring out why E is the answer.
Manager
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09 Jan 2005, 16:18
Sorry guys the answer is B and not E as I posted earlier...

ThereÂ´s no oficial explanation thatÂ´s why I posted this message,so one of you can help figuring out why B is the answer
Senior Manager
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09 Jan 2005, 21:43
janice, thats a good DS problem. as far as explaning the OA - B, i can say that since Male Reps = Female Dem -> Male Reps = 53;

Male Dems + Male REps = 21+53 = 74 -> ratio of male to female is 74/53 which will only make sense if there are no Female Reps, who are not mentioned anywhere in the stem. does anyone else have an explanation of B??
VP
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09 Jan 2005, 22:00
kayser`soze wrote:
janice, thats a good DS problem. as far as explaning the OA - B, i can say that since Male Reps = Female Dem -> Male Reps = 53;

Male Dems + Male REps = 21+53 = 74 -> ratio of male to female is 74/53 which will only make sense if there are no Female Reps, who are not mentioned anywhere in the stem. does anyone else have an explanation of B??

i do not think that B could be the OA. it should be C.
Senior Manager
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09 Jan 2005, 22:12
the first sentence in the stem reads - in club Y all the members are either Dems or REps. then there are the figures for the M/F distribution of Dems. there is no mentioning that there HAVE to be female REps , hence B suggests that it could be theanswer. althought it is not a very convincing one it is a possibility. too bad, so is C. MA i see what you're saying. I think this question needs more info. janice where did you get it from ??
Manager
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10 Jan 2005, 08:49
1
KUDOS
guys youÂ´re gonna kill me!

I made a mistake in the post,the question should be:

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.

OA is B.Please check out my reasoning and correct me if IÂ´m wrong:

MD:male democrats
FD:female democrats
MR:male republicans
FR:female republicans

MD=M/2
MR=M/2
FD=3/5F
FR=2/5F

MR=FD
M/2=3F/5.From here I got: M=6F/5

Then the ratio is: M/F OR (6F/5)/F=6/5.
Senior Manager
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11 Jan 2005, 22:14
thanks for clarifying the problem. with the new values its clear.
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Re: All of the members of club Y are either Democrats or [#permalink]

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11 Sep 2016, 18:00
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Re: All of the members of club Y are either Democrats or   [#permalink] 11 Sep 2016, 18:00
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