Given the following premises:
1. All agricultural engineers are problem solvers.
2. Some problem solvers are researchers.
3. All researchers are data driven.
Which of the following conclusions logically follow from the given premises?
Options:
(A) Some researchers are problem solvers
(B) Some problem solvers are data driven
(C) All agricultural engineers are data driven
(D) Some data driven individuals are problem solvers
Answer Key:
A, B, D
Step-by-Step Solution & Explanation
1. Premise 2 states 'Some problem solvers are researchers'. The conversion of 'Some A are B' is 'Some B are A'. Hence 'Some researchers are problem solvers' is TRUE. (Option A is True)
2. From Premise 2 ('Some problem solvers are researchers') and Premise 3 ('All researchers are data driven'), the subset of problem solvers who are researchers must also be data driven. Hence 'Some problem solvers are data driven' is TRUE. (Option B is True)
3. From Option B ('Some problem solvers are data driven'), conversion yields 'Some data driven individuals are problem solvers'. (Option D is True)
4. Agricultural engineers belong to problem solvers, but we only know *some* problem solvers are researchers/data driven. We cannot deduce that *all* agricultural engineers are data driven. (Option C is False)