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 Logical Venn Diagram Questions

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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.

Biosphere, Hydrosphere, Atmosphere

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

Explanation:
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3 12482
Q:

Which one of the following Venn diagrams best illustrates the three classes.

Rhombus, Quadrilaterals, Polygons

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

Explanation:
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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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133 12396
Q:

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

Liquid, Water, Oil

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

Explanation:
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Q:

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

Husband, Wife, Son

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

Explanation:
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2 12028
Q:

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

Earth, Saturn, Planet, Star

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

Explanation:
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1 11380
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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