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Last year 26 members of a certain club traveled to England

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rsarashi Master | Next Rank: 500 Posts Default Avatar
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Last year 26 members of a certain club traveled to England

Post 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

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Post 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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Post 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

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Post 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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Post 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 & 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

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rsarashi Master | Next Rank: 500 Posts Default Avatar
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Post 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...

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Post Fri Mar 10, 2017 5:05 am

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