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Register now and save up to $200 Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code ## Last year 26 members of a certain club traveled to England This topic has 5 expert replies and 1 member reply rsarashi Master | Next Rank: 500 Posts Joined 24 Dec 2016 Posted: 186 messages Followed by: 2 members Upvotes: 5 #### Last year 26 members of a certain club traveled to England Thu Mar 09, 2017 10:12 am 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 Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2457 messages Followed by: 115 members Upvotes: 1153 GMAT Score: 770 Top Reply 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

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### GMAT/MBA Expert

Scott@TargetTestPrep GMAT Instructor
Joined
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Posted:
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Top Reply
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 itâ€™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

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### GMAT/MBA Expert

DavidG@VeritasPrep Legendary Member
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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.

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Save $100 off any live Veritas Prep GMAT Course Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert Scott@TargetTestPrep GMAT Instructor Joined 25 Apr 2015 Posted: 548 messages Followed by: 3 members Upvotes: 43 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 itâ€™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 & CEO GMAT Quant Self-Study Course - 500+ lessons 3000+ practice problems 800+ HD solutions 5-Day Free Trial 5-DAY FREE, FULL-ACCESS TRIAL TTP QUANT rsarashi Master | Next Rank: 500 Posts Joined 24 Dec 2016 Posted: 186 messages Followed by: 2 members Upvotes: 5 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... ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2457 messages Followed by: 115 members Upvotes: 1153 GMAT Score: 770 Fri Mar 10, 2017 5:05 am _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

Thanked by: rsarashi
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