IPMAT 2025 Exam Solved Papers

There are five teams, each with 15 members, for a total of 75 members.Also, the number of biologists, geologists and explorers is equal, thus this will be equal to 25.It is given that Teams C and D have 6 biologists each, and Team A has 6 geologists.Now, each team has at least 2 members from each skill set, and the number of explorers in each team is distinct and decreases in the order A, B, C, D, and E. Thus, if we assume there are 2 explorers in team E, then team D, C, B and A will have 3, 4, 5, and 6 explorers respectively. Thus, the total number of explorers will be (2+3+4+5+6=20), less than 25. Now, if we assume there are 3 explorers in team E, then team D, C, B and A will have 4, 5, 6, and 7 explorers respectively. Thus, the total number of explorers will be (3+4+5+6+7=25), equal to 25. This is the only case valid; in all the other cases, it will be either more than 25 or less than 25.In the diagram, we can see that team A has 2 biologists, and teams C and D will have 4 and 5 geologists, respectively.Now, each team has more biologists than explorers except team A. Thus, the number of biologists in team B will be 7 (If it is 8, then the number of geologists will be 1, which is not possible, because there are 2 members of each kind in each team). Thus, our final table will look like this.Thus, the number of teams having more geologists than biologists is 2 {Team A and Team E}