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

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

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New post 18 Jun 2010, 20:15
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (01:24) correct 38% (02:03) wrong based on 99 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
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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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New post 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 :)
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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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New post 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!
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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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New post 19 Jun 2010, 08:30
Thanks. Makes sense now.
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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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New post 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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New post 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

Answer: E
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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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New post 17 Oct 2018, 14:21
Total = A + B - Both + Neither

193 = A + 49 - 23 + 59

193 = A + 85

=> A = 108
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Re: There are 193 items that are members of set U. Of these items, 49 are &nbs [#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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