BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Last year 26 members of a certain club traveled to England

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 186
Joined: Sat Dec 24, 2016 12:38 am
Thanked: 5 times
Followed by:3 members

Last year 26 members of a certain club traveled to England

by rsarashi » Thu Mar 09, 2017 10:12 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?

A) 52
B) 67
C) 71
D) 73
E) 79

OAB
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 2663
Joined: Wed Jan 14, 2015 8:25 am
Location: Boston, MA
Thanked: 1153 times
Followed by:128 members
GMAT Score:770

Last year 26 members of a certain club traveled to England

by DavidG@VeritasPrep » Thu Mar 09, 2017 10:32 am
rsarashi wrote:Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?

A) 52
B) 67
C) 71
D) 73
E) 79

OAB
You can find some solutions to this problem here: https://www.beatthegmat.com/official-gu ... tml#788490
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

Last year 26 members of a certain club traveled to England

by Jay@ManhattanReview » Thu Mar 09, 2017 9:16 pm
rsarashi wrote:Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?

A) 52
B) 67
C) 71
D) 73
E) 79

OAB
Find the solution here https://www.beatthegmat.com/official-gu ... tml#788509

Relevant book: Manhattan Review GMAT Sets & Statistics Guide

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Tokyo | Manchester | Geneva | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
User avatar
Legendary Member
Posts: 2663
Joined: Wed Jan 14, 2015 8:25 am
Location: Boston, MA
Thanked: 1153 times
Followed by:128 members
GMAT Score:770

Last year 26 members of a certain club traveled to England

by DavidG@VeritasPrep » Fri Mar 10, 2017 5:05 am
And for more practice with 3-set overlaps:

https://www.beatthegmat.com/og-13-178-v ... 11188.html

And

https://www.beatthegmat.com/pizza-hoagi ... 85217.html
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course
Top
Master | Next Rank: 500 Posts
Posts: 186
Joined: Sat Dec 24, 2016 12:38 am
Thanked: 5 times
Followed by:3 members

by rsarashi » Sat Mar 11, 2017 5:28 pm
Hi Experts ,

Thanks for your reply.

Can you please advise that if question asks How many members of the club traveled to at least one of these three countries last year? So have we to find the total no. of students?

Please advise.

Thanks...
Top
User avatar
Legendary Member
Posts: 2663
Joined: Wed Jan 14, 2015 8:25 am
Location: Boston, MA
Thanked: 1153 times
Followed by:128 members
GMAT Score:770

by DavidG@VeritasPrep » Sun Mar 12, 2017 7:42 am
rsarashi wrote:Hi Experts ,

Thanks for your reply.

Can you please advise that if question asks How many members of the club traveled to at least one of these three countries last year? So have we to find the total no. of students?

Please advise.

Thanks...
That would be the case only if we knew that everyone in the club traveled to at least one of the three mentioned countries. But if the club could have contained members who didn't travel to any of the three mentioned countries, then we can't make this assumption.
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8083
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Fri Dec 08, 2017 6:50 am
rsarashi wrote:Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?

A) 52
B) 67
C) 71
D) 73
E) 79
We are given the following:

England travelers = 26

France travelers = 26

Italy travelers = 32

England and France travelers = 0

England and Italy travelers = 6

France and Italy travelers = 11

Although it's not stated directly, we can determine that 0 people traveled to all 3 countries because 0 people traveled to both England and France.

To determine how many people traveled to at least one country, we need to determine the total number of travelers. We can do this with the following formula:

At least one country = England + France + Italy - Sum of (Exactly two countries) - 2 times (All three countries)

At least one country = 26 + 26 + 32 - (6 + 11 + 0) - 2(0)

At least one country = 84 - 17 - 0 = 67

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Mon Jun 18, 2018 7:33 pm
Hi All,

We're told that last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy and that NO members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. We're asked for the number of members of the club who traveled to AT LEAST ONE of these three countries last year.

This prompt is an example of a 3-group Overlapping Sets question - it's a rare question version that you probably will not see on Test Day. To solve it, you could set up a 3-circle Venn diagram or use the following formula:

Total = (Group 1) + (Group 2) + (Group 3) - (those in 1 and 2) - (those in 1 and 3) - (those in 2 and 3) - 2(those in all 3 groups).

Based on the data in the prompt, the equation would look like this:

Total = (26) + (26) + (32) - (0) - (6) - (11) - 2(0)
Total = 84 - 17
Total = 67

Final Answer: B

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

by swerve » Tue Jun 19, 2018 2:18 pm
To England = 26
To France = 26
To Italy = 32

England and France = 0
England and Italy = 6
France and Italy = 11

All 3 = 0
Neither = 0

Total 26 + 26 + 32 -(0 + 6 + 11) + 0 + 0 = 67.

Regards!
Top
Post new topic Post Reply
• Page 1 of 1