Venn Diagrams Questions and Answers

Questions on Venn Diagrams

A diagram demonstrating the mathematical or logical arrangements visually in the form of circles or closed curves inside an enfolding rectangle and the common essentials of the groups being signified by intersections of the circles is known as the Venn diagram. Usually, it is used to represent the set interactions. It uses overlying circles or more figures to demonstrate the rational relationships among two or more items. So accordingly, Venn Diagrams are quite important in both quantitative and logical reasoning. Therefore, it is important to practice Venn Diagrams Questions.

formulas for Venn Diagrams Questions

Formula or Rule for finding the HCF of given numbers:

  • n(X ∪ Y) = n(X ) + n ( Y ) – n ( X∩ Y)
  • n(X ∪ Y ∪ C) = n(X ) + n ( Y ) + n (C) – n ( X ∩ Y) – n ( Y ∩ C) – n ( C ∩ X) + n (X ∩ Y ∩ C )
  • In case of two elements: Where;
    A = elements belong to set X only
    B = elements belong to set Y only
    C = elements belong to bot set X and Y (XY)
    F = elements belong to none of the sets X or YB
  • From the above figure, it is clear that
    n(X) = a + c ;
    n (Y) = b + c ;
    n(X ∩ Y) = c;
    n ( X ∪ Y) = a +b+ c.
    Total number of elements = a + b + c + f

In the case of three elements

  • F = elements belong to none of the sets X, Y or Z
     

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Question 1

Time: 00:00:00
There are 100 people in the office, 70 employees like Pizza and 60 employees like Pasta, and 40 Employees like both Pizza and pasta.
i.) How many employees like only Pizza?
ii.) How many employees like only Pasta?
iii.) How many employees like neither Pizza nor Pasta?

10,20,30

10,20,30

30,20,10

30,20,10

40,10,20

40,10,20

10,15,30

10,15,30

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Question 2

Time: 00:00:00
The below mentioned questions contains three elements which may or may not be interlinked. Every element may fit into one of the below-mentioned diagrams (A, B, C, D). Find out which group of elements correctly fits into the Below mentioned diagrams?

Find out that diagram which portrays the best relation between Tourists, Planes and Trains?

Options:

A

A

B

B

C

C

D

D

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Question 3

Time: 00:00:00
Which of the below diagram signify the relationship between Men Fathers and Doctors?

 

A

A

B

B

C

C

D

D

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Question 4

Time: 00:00:00
Which one from the below-mentioned diagrams indicate the relation between Shopping Mall (SM, Designer Clothes (D)and Machinery (M)?

A

A

B

B

C

C

D

D

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Question 5

Time: 00:00:00
Given below are two statements, followed by two conclusions. Assuming that everything that’s mentioned in the statement is correct and reliable, decide which of the

Conclusion logically follow the information mentioned?

Statement:
A.) No Apples are Tangerine.
B.) No Tangerine is grapefruit.
Conclusion:
1.) Some Apples are Grapefruit
2.) Some Grapefruits are not Tangerine.

The only Conclusion I follows

The only Conclusion I follows

Only Conclusion II follows

Only Conclusion II follows

Either conclusion I or Conclusion II follows

Either conclusion I or Conclusion II follows

Neither conclusion I nor Conclusion II follows

Neither conclusion I nor Conclusion II follows

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Question 6

Time: 00:00:00
Given below are two statements followed by two conclusions. Assuming that everything that’s mentioned in the statement is correct and reliable, decide which of the

Conclusion logically follow the information mentioned?
Statement:
A.) Some Sam is Tom
B.) Some, Harry is Sam.
Conclusion:
I.) Some Tom is Harry
II.) No Tom is Harry

The only Conclusion I follows

The only Conclusion I follows

Only Conclusion II follows

Only Conclusion II follows

Either conclusion I or Conclusion II follows

Either conclusion I or Conclusion II follows

Neither conclusion I nor Conclusion II follows

Neither conclusion I nor Conclusion II follows

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Question 7

Time: 00:00:00
Given below are two statements, followed by two conclusions. Assuming that everything that’s mentioned in the statement is correct and reliable, decide which of the
Conclusion logically follow the information mentioned?

Statement:
A.) Some Tigers are Rats
B.) No Hens are Tigers
Conclusion:
I.) No Tigers are Hens
II.) Some Rats are Hens

The only Conclusion I follows

The only Conclusion I follows

Only Conclusion II follows

Only Conclusion II follows

Either conclusion I or Conclusion II follows

Either conclusion I or Conclusion II follows

Neither conclusion I nor Conclusion II follows

Neither conclusion I nor Conclusion II follows

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Question 8

Time: 00:00:00
Which of the following diagram describe the relationship between Hospital, Doctor, and Patient?

A

A

B

B

C

C

D

D

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Question 9

Time: 00:00:00
Which of the following diagram describe the relationship between Director, Musician, and Actor?

A

A

B

B

C

C

D

D

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Question 10

Time: 00:00:00
Mentioned below are some statements followed by a conclusion in the options. Take the given statements to be accurate, even if they contradict to the commonly known facts, and determine the conclusions that logically follow the statements.
Statement:
1.) All boys are ladies.
2.) Some ladies are teachers
Conclusion:
I.) All ladies are boys
II.) Some ladies are not teachers.

The only conclusion I follows

The only conclusion I follows

Only Conclusion II follows

Only Conclusion II follows

Either conclusion I or Conclusion II follows

Either conclusion I or Conclusion II follows

Neither conclusion I nor Conclusion II follows

Neither conclusion I nor Conclusion II follows

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Question 11

Time: 00:00:00
Mentioned below are some statements followed by a conclusion in the options. Take the given statements to be accurate, even if they contradict to the commonly known facts, and determine the outcomes that logically follows the statements.
Statement:
A.) All the boys are girls.
B.) All the girls are children.
Conclusion:
I.) All boys are children
II.) Some boys are not children

The only conclusion I follows

The only conclusion I follows

Only Conclusion II follows

Only Conclusion II follows

Either end I or Conclusion II follows

Either end I or Conclusion II follows

Neither conclusion I nor Conclusion II follows

Neither conclusion I nor Conclusion II follows

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Question 12

Time: 00:00:00
Which of the following diagram describe the relationship between Men. Women and Singers?

A

A

B

B

C

C

D

D

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Question 13

Time: 00:00:00
Statement(s):
I.) Some tables are glasses.
II.) Some trees are tables
Conclusion:
I.) Some trees are glasses.
II.) Some glasses are trees.