Question

Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1​

Answer 1

Answers:

• 10 people absent
• 15 people working in the field only
• See the below image for the venn diagram

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Explanation:

• 35 people are working in both places.
• 50 work in the field or both, so 50-35 = 15 people work solely in the field.
• 65 work in the office or both, so 65-35 = 30 people work solely in the office

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.