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# If X and Y are sets of integers, X # Y denotes the set of

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Intern
Joined: 08 Sep 2005
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If X and Y are sets of integers, X # Y denotes the set of [#permalink]

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07 Apr 2006, 20:40
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If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 10 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?

A) 6
B) 16
C) 22
D) 30
E) 174

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SVP
Joined: 14 Dec 2004
Posts: 1681

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07 Apr 2006, 20:47
B) 16

with 6 common integers, X is left with 4 integers & Y is left with 12 integers.

So, X#Y = 16

Is it this simple? Am I trapped?

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Manager
Joined: 27 Mar 2006
Posts: 136

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07 Apr 2006, 20:49
john2005 wrote:
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 10 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?

A) 6
B) 16
C) 22
D) 30
E) 174

Since

Total number of elements in X but not X and Y = Total number of elements in X - Total number of elements in X and Y

= 10 - 6 = 4

Total number of elements in Y but not X and Y = Total number of elements in Y - Total number of elements in X and Y

= 18 - 6 = 12

Hence total number of elements in X # Y but not common to X and Y = 4 + 12 = 16

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Manager
Joined: 21 Dec 2005
Posts: 102

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07 Apr 2006, 22:49
B sounds more plausible now..

(18-6) + (12-6)=16

What's the OA

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GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16655

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Re: If X and Y are sets of integers, X # Y denotes the set of [#permalink]

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14 Sep 2017, 01:26
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If X and Y are sets of integers, X # Y denotes the set of   [#permalink] 14 Sep 2017, 01:26
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