Logical Venn Diagram Questions

Q:

Main street high school has 10 members on its football team and 14 members on its science club. 5 members at the school belong to both the football and science teams. How many students belong to only science club team or football team?

A) 9 B) 14
C) 24 D) 21
 
Answer & Explanation Answer: A) 9

Explanation:

Given that,

Members in football team = n(f) = 10

Members in science club = n(s) = 14

Members in both football team and science club = n(f ^ s) = 5

 

Then, Members in only football team = n(F) = 10 - 5 = 5

Members in only science team = n(S) = 14 - 5 = 9

football_science_teams1533013879.jpg image

 

Hence, members in only football or science team = n(FUS) = n(F) + n(S) - n(f^s) 

= 9 + 5 - 5

= 9.

 

Hence, many students belong to only science club team or football team = 9.

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Q:

Identify the diagram that best represents the relationship among the given classes.

Brother, Husband, Men

 

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

Explanation:
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Q:

Which of the following diagrams indicates the best relation between Doctors, Teachers and Engineers?

A) A B) B
C) C D) D
 
Answer & Explanation Answer: B) B

Explanation:

Some teachers can be Doctor and can be Engineer. But there is no common in between Doctor and Engineer. So, option B suits best in which the middle circle denotes teachers.

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4 937
Q:

Identify the diagram that best represents the relationship among the given classes.
Bull, Animal, Carnivorous

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

Explanation:
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3 684
Q:

Which of the diagrams given below correctly represents the relationship among WOMEN, MOTHERS, SPINSTERS

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

Explanation:
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6 598
Q:

Identify the diagram that best represents the relationship among the given classes.

Reptiles, Lizard, Lion

 

1)

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

Explanation:
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3 585
Q:

Which of the following diagrams indicates the best relation between Females, Doctors, and Patients?

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

Explanation:
Some females can be doctors; some female can also be patient. Some Doctors can be patients. So, Option C fits into the question.
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3 583
Q:

Which of the following diagrams indicates the best relation between Males, Fathers and Human Being?

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

Explanation:

All males are Human beings so the circle for male come in between human being; and all fathers are male so the circle for fathers comes in between the male circle. So, option C suits best.

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