Three travelers - John, Kate and Lenny - came back from three trips to the following countries: Mauritania, Nepal, Oman, Peru and Qatar. The countries each of them visited must be consistent with the following rules and conditions: Each country was traveled by at least one of the travelers.
Each traveler took only one trip, during which he or she traveled to only two or three different countries.
Only one traveler traveled to Qatar.
Every traveler who traveled to Mauritania also traveled to Nepal.
A traveler who traveled to Qatar did not travel to Peru.
John traveled to all the countries Kate traveled to.
Which one of the following countries could have been traveled by all three travelers?