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Question

Select the Venn diagram that best illustrates the relationship between the following classes.

Nurses, Pharmacists, Healthcare Workers

The correct answer is
Venn diagram option 3

Find how the three classes relate: which class contains which, and whether any two overlap.

Step 1 — Every nurse is a healthcare worker, and every pharmacist is a healthcare worker, so both classes lie inside Healthcare Workers.

Step 2 — A nurse and a pharmacist are distinct professions; taken as classes, nurses and pharmacists do not overlap.

Step 3 — So the diagram needs one large circle (Healthcare Workers) with two separate small circles (Nurses and Pharmacists) inside it.

Every other figure draws two large circles that overlap or stand apart, with only one small circle inside a large one. Whichever large circle is taken as Healthcare Workers, the other large circle, a profession, would then lie partly or wholly outside it, which cannot happen because all nurses and pharmacists are healthcare workers.

The figure with two separate small circles inside one large circle option is correct.

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Important Questions from Venn Diagram Problems

  1. In a group of 73 friends, 14 friends go to Gym and Karate classes both, whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go to only Karate class?

  2. In an examination 20% students failed in Mathematics and 15% failed in English. If 10% failed in both and those who passed in both numbered 300, then the total number of students who appeared in the examination was

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