Question

85 persons are degree holders and 72 persons are certificate holders, 20 persons are both degree and certificate holders only, 12 persons both certificate and diploma holders only and 30 persons both diploma and degree holders only. Further, 10 persons are only degree holders. How many persons possess all the three qualifications?

Answer 1

Given :-

• 85 persons are degree holders .
• 72 persons are certificate holders .
• 20 persons are both degree and certificate holders only .
• 12 persons both certificate and diploma holders only.
• 30 persons both diploma and degree holders only.
• 10 persons are only degree holders.

To Find :-

• How many persons possess all the three qualifications ?

Solution :-

→ Person possess all three qualifications are = Total degree holders - (Both degree and certificate holders only + Both diploma and degree holders only + persons are only degree holders.)

→ Person possess all three qualifications are = 85 - (20 + 30 + 10)

→ Person possess all three qualifications are = 85 - 60 = 25 (Ans.)

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