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# There are 193 items that are members of set U. Of these items, 49 are

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Manager
Joined: 25 May 2009
Posts: 122
Concentration: Finance
GMAT Date: 12-16-2011
There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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18 Jun 2010, 20:15
1
00:00

Difficulty:

55% (hard)

Question Stats:

64% (01:52) correct 36% (02:01) wrong based on 115 sessions

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There are 193 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?

A) 72
B) 85
C) 94
D) 98
E) 108

OA=E.

Isn't the answer 85?
Just Set A = x
Sets A & B = 23
Just Set B = 49-23 = 26
Neither = 59

Therefore, Just A + A&B + Just B + Neither = Total
x + 23 + 26 + 59 = 193
x=85
Manager
Joined: 05 Jul 2008
Posts: 118
GMAT 2: 740 Q51 V38
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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18 Jun 2010, 21:16
I3igDmsu wrote:
There are 193 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?

A) 72
B) 85
C) 94
D) 98
E) 108

The question is about members of Set A, not members of only set A.
Mem of Set A= Set U- Just set B- neither= 193-26-59=108
SVP
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1827
Concentration: General Management, Nonprofit
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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18 Jun 2010, 21:19
You had the answer almost right. The x = 85 refers to ONLY set A.

However what's being asked is how many members are part of set A. This will include:

1. Only Set A
2. Set A and Set B

So the answer is Set A = 85 + Set A&B = 85+23 = 108

Hope this helps!
Manager
Joined: 25 May 2009
Posts: 122
Concentration: Finance
GMAT Date: 12-16-2011
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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19 Jun 2010, 08:30
Thanks. Makes sense now.
Intern
Joined: 20 Jun 2010
Posts: 7
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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27 Jun 2010, 02:46
Excellent tricky question...Designed to show you just how crazy things can get if one doesn't read carefully !!
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Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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24 Oct 2017, 06:17
I3igDmsu wrote:
There are 193 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?

A) 72
B) 85
C) 94
D) 98
E) 108

We can create the following equation:

Total = A + B - both + neither

193 = A + 49 - 23 + 59

193 = A + 85

108 = A

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Manager
Joined: 21 Jul 2017
Posts: 187
Location: India
Concentration: Social Entrepreneurship, Leadership
GMAT 1: 660 Q47 V34
GPA: 4
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Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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17 Oct 2018, 14:21
Total = A + B - Both + Neither

193 = A + 49 - 23 + 59

193 = A + 85

=> A = 108
Re: There are 193 items that are members of set U. Of these items, 49 are   [#permalink] 17 Oct 2018, 14:21
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# There are 193 items that are members of set U. Of these items, 49 are

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