Logical Venn Diagram Questions

Q:

Which of the following Venn- diagram correctly illustrates the relation ship among the classes  :  Tennis fans, Cricket players, Students

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:

Some Students can be Cricket players. Some Cricket players can be Tennis fans. Some Students can be Tennis fans. So, the given items are partly related to each other.

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Q:

Which of the following Venn- diagram correctly illustrates the relation ship among the classes  :  Carrot, Food, Vegetables

A) a B) b
C) c D) d
 
Answer & Explanation Answer: A) a

Explanation:

All Carrots are Vegetables. All Vegetables are Foods.

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Q:

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ? 

A) 21 B) 22
C) 23 D) 24
 
Answer & Explanation Answer: C) 23

Explanation:

Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages.

Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3

Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12

Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5

Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20

Number of persons who can speak two languages = 2

Number of person who an speak all the languages = 1

Total number of persons = 23.

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Q:

In a dinner party both fish and meat were served. Some took only fish and some only meat. There were some vegetarians who did not accept either. The rest accepted both fish and meat. Which of the following Venn-diagrams correctly reflects this situation?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:

The Given situation can be represented as under:

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Q:

Select from four alternative diagrams, the one that best illustrates the relationship among the three classes  :  Pigeons, Birds, Dogs

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:

All Pigeons are Birds. But,Dogs are entairly different.

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