In the given diagram, the square represents Technicians, the triangle represents Botanists, the circle represents Managers, and the pentagon represents Physicists.<br>A research institute plans to recruit personnel for various positions based on the following criteria.<br>(i) Managers who are also Botanists but <strong>NOT</strong> Technicians<br>(ii) Technicians who are either Botanists or Physicists but <strong>NOT</strong> Managers.<br>Find the number of people in the Venn diagram who are eligible according to the criteria.

  1. A. 36
  2. B. 35
  3. C. 56 ✓
  4. D. 54

Correct Answer: C. 56

Explanation

Based on the Venn diagram intersections, the number of people satisfying criteria (i) is 23 (in circle and triangle, outside square). The number of people satisfying criteria (ii) is 33. The total eligible personnel is 23 + 33 = 56.

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