The correct answer is (b).
A and B are poets and students. B and C are athletes and students. D and C are students and businessmen. A and E are social workers. B, C and E are athletes. A, B and D are poets.
To find the person who is a poet, athlete and student, we need to find someone who is in all three groups: poets, athletes, and students. The only person who is in all three groups is B.
Option (a) is incorrect because A is a poet and a student, but not an athlete.
Option (c) is incorrect because C is a student and an athlete, but not a poet.
Option (d) is incorrect because D is a student and a poet, but not an athlete.