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Is the number of members of Club X greater than the number

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Is the number of members of Club X greater than the number [#permalink] New post 15 Dec 2009, 15:16
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Question Stats:

62% (01:29) correct 38% (00:57) wrong based on 68 sessions
Is the number of members of Club X greater than the number of members of Club Y ?

(1) Of the members of Club X, 20 percent are also members of Club Y.
(2) Of the members of Club Y, 30 percent are also members of Club X.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-number-of-members-of-club-x-greater-than-the-number-128641.html
[Reveal] Spoiler: OA
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Re: Club X and Club Y Members [#permalink] New post 15 Dec 2009, 15:24
I was kinda assuming this would be E?

I guess I'm wrong?
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Re: Club X and Club Y Members [#permalink] New post 15 Dec 2009, 21:01
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its c
let no. of members of club x=x
therefore
s1) no. of member of club x who are member of y also=.2x
not suff. as no other information abt y is given
s 2) no. of members of y=y----> bth=.3y

combining
.3y=.2x---->y=2x/3 hence x> Y

hence C
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Re: Club X and Club Y Members [#permalink] New post 16 Dec 2009, 05:31
@xcuseme why u have equalled .3y = .2x??

r u assuming that number of members in both the club are same?
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Re: Club X and Club Y Members [#permalink] New post 16 Dec 2009, 05:42
sagarsabnis wrote:
@xcuseme why u have equalled .3y = .2x??

r u assuming that number of members in both the club are same?


we would need to equate 0.3y = 0.2x as number of members of both clubs would be same.

i.e. if 30% of Y = 12 ( assumed value) [then total members of Y is 40]. This 12 is equal to 20% of X and total members of X = 60

so C it will be
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Re: Club X and Club Y Members [#permalink] New post 16 Dec 2009, 05:48
sagarsabnis wrote:
@xcuseme why u have equalled .3y = .2x??

r u assuming that number of members in both the club are same?


no. of members of club x is x and that of y is and is not same

those who are members of bth is same

hence .3y(no. of members of bth)=.2x(no. of members of bth)

HTH
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Re: Club X and Club Y Members [#permalink] New post 16 Dec 2009, 07:02
Wow I was writing out a response still not getting this, but woah this tricked me haha. I agree C
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Re: Club X and Club Y Members [#permalink] New post 17 Dec 2009, 00:42
Hi

One can word is this way as well



20% of X are in Y - X members in Y
30% of Y are in X - Y members in X

Since both of them represent dual membership, they can be equated to calculate ratio of members in X and Y

0.2X = 0.3Y
X/Y =3/2
Therefore X>Y
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Re: Club X and Club Y Members [#permalink] New post 12 Jan 2010, 10:12
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Hi

the above mentioned is very true.

Just for general questions.. always follow simpler approach initially, this might take u little long but will always assure you correct result.With practice this can be solved very quickly.

X ∩ Y = b

X U Y' = a

X' U Y = c

Now with the given values...find a b c....and desired result can be found very easily.
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Re: Club X and Club Y Members [#permalink] New post 19 Jan 2010, 10:56
The # of people who are in both X and Y should be the same in (1) and (2). Since we know that these people represent a smaller % of the overall number of X members, the total number of people in X must be greater than the number of people in Y. Since we need both (1) and (2) to solve the problem, C is the answer.
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Re: Club X and Club Y Members [#permalink] New post 04 Sep 2013, 05:45
gurpreetsingh wrote:
Hi

the above mentioned is very true.

Just for general questions.. always follow simpler approach initially, this might take u little long but will always assure you correct result.With practice this can be solved very quickly.

X ∩ Y = b

X U Y' = a

X' U Y = c

Now with the given values...find a b c....and desired result can be found very easily.


Sir, how we are supposed to find values of X and Y by this method?
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Re: Club X and Club Y Members [#permalink] New post 04 Sep 2013, 06:45
Expert's post
ishdeep18 wrote:
gurpreetsingh wrote:
Hi

the above mentioned is very true.

Just for general questions.. always follow simpler approach initially, this might take u little long but will always assure you correct result.With practice this can be solved very quickly.

X ∩ Y = b

X U Y' = a

X' U Y = c

Now with the given values...find a b c....and desired result can be found very easily.


Sir, how we are supposed to find values of X and Y by this method?


We are not asked to find the # of members. The question asks: is the number of members of Club X greater than the number of members of Club Y ?


OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-number-of-members-of-club-x-greater-than-the-number-128641.html
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Re: Club X and Club Y Members   [#permalink] 04 Sep 2013, 06:45
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