GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Feb 2019, 09:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

February 17, 2019

February 17, 2019

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Free GMAT Strategy Webinar

February 16, 2019

February 16, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 25 May 2009
Posts: 132
Concentration: Finance
GMAT Date: 12-16-2011
There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

### Show Tags

18 Jun 2010, 19:15
1
00:00

Difficulty:

55% (hard)

Question Stats:

64% (01:53) correct 36% (01:59) wrong based on 112 sessions

### HideShow timer Statistics

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.

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: 130
GMAT 2: 740 Q51 V38
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

### Show Tags

18 Jun 2010, 20:16
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: 1855
Concentration: General Management, Nonprofit
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

### Show Tags

18 Jun 2010, 20:19
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: 132
Concentration: Finance
GMAT Date: 12-16-2011
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

### Show Tags

19 Jun 2010, 07:30
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]

### Show Tags

27 Jun 2010, 01:46
Excellent tricky question...Designed to show you just how crazy things can get if one doesn't read carefully !!
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4915
Location: United States (CA)
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

### Show Tags

24 Oct 2017, 05:17
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

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Joined: 21 Jul 2017
Posts: 192
Location: India
GMAT 1: 660 Q47 V34
GPA: 4
WE: Project Management (Education)
Re: There are 193 items that are members of set U. Of these items, 49 are  [#permalink]

### Show Tags

17 Oct 2018, 13:21
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, 13:21
Display posts from previous: Sort by