Jeff Miller

GMAT OFFICIAL GUIDE PS – Last year 26 members of a certain club traveled to England…

Last year 26 members of a certain club traveled to England…

Solution:

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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