General Studies · Venn Diagrams

In a diagram, the square represents Technicians, the triangle represents Botanists, the circle represents Managers, and the pentagon represents Physicists. A research institute plans to recruit personnel for various positions based on the following criteria: (i) Managers who are also Botanists but not Technicians (count = 21) (ii) Technicians who are either Botanists or Physicists but not Managers (count = 35) Find the total number of people in the Venn diagram who are eligible according to the criteria.