Five teams-A, B, C, D, and E — each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists,…
Question and options
Five teams-A, B, C, D, and E — each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal.
The following additional information is available
- Every team has at least 2 members from each of the three skill sets.
- Teams C and D have 6 biologists each, and Team A has 6 geologists.
- Every team except A has more biologists than explorers.
- The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.
The number of biologists in team E is
The following additional information is available
- Every team has at least 2 members from each of the three skill sets.
- Teams C and D have 6 biologists each, and Team A has 6 geologists.
- Every team except A has more biologists than explorers.
- The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.
The number of biologists in team E is
- 6
- 5
- 4
- 7
Answer and explanation
Correct answer: C - 4
Team E has 4 biologists. Each skill set has 25 members across the five teams, and A can have at most 7 explorers because it has 6 geologists and at least 2 biologists. The five distinct explorer counts must therefore be in team order to sum to 25, forcing 2 biologists in A and exactly 7 in B, which has 6 explorers and at least 2 geologists. Subtracting A, B, C and D's biologists from 25 gives , while 7 is B's biologist count.
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