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

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Math Expert
Joined: 02 Sep 2009
Posts: 60627
There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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04 Dec 2019, 01:11
00:00

Difficulty:

15% (low)

Question Stats:

95% (01:52) correct 5% (02:52) wrong based on 22 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

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Senior Manager
Joined: 16 Feb 2015
Posts: 261
Location: United States
Concentration: Finance, Operations
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

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04 Dec 2019, 01:25
1
Bunuel 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

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Explanation:

Easy Question.
Total members of SET U = 193
Neither in SET A or SET B Members = 59
Left Member which are in either A or B or Both= 193-59 = 134
Total member in SET B = 49
In A&B= 23
In Set B only = 49-23 = 26
In Set A = 134-26 = 108
IMO-E

Please give kudos, if you find my explanation good enough
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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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04 Dec 2019, 01:37
2x2 matrix

---A---NA-- total U
B--23--26----49
NB--85--59----144
tota;--108--85--193
IMO E; 108

Bunuel 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

Are You Up For the Challenge: 700 Level Questions
Re: There are 193 items that are members of set U. Of these items, 49 are   [#permalink] 04 Dec 2019, 01:37
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