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VENN DIAGRAM MCQs

EASY LEVEL (1–10)

1. The diagram shows two circles representing students who like Tea and Coffee. The overlapping portion represents students who:
A. Like only tea
B. Like only coffee
C. Like both tea and coffee
D. Like neither

2. In a diagram showing Cricket and Football players, which group is shown in the common shaded part?
A. Only cricket players
B. Only football players
C. Players of both games
D. Players of no game

3. A rectangle shows all employees in an office. Two circles show those who know English and Hindi. Employees outside both circles know:
A. English only
B. Hindi only
C. Both languages
D. Neither language

4. In a diagram, one circle is completely inside another. This shows that:
A. Both groups are different
B. Some people are common
C. One group is fully included in the other
D. The groups are unrelated

5. The non-overlapping part of a circle represents people who:
A. Belong to both groups
B. Belong only to that group
C. Belong to none
D. Are outside the diagram

6. Two circles do not touch each other. This shows that:
A. Some people are common
B. Groups are identical
C. No person belongs to both groups
D. One group is bigger

7. In a school diagram, students who play Hockey are shown in one circle. Students shown outside the circle:
A. Play hockey
B. Play some other game
C. Do not play hockey
D. Play all games

8. The central part in a diagram of three circles represents people who:
A. Belong to at least one group
B. Belong to exactly two groups
C. Belong to all three groups
D. Belong to none

9. If every student likes at least one subject, then the area outside circles shows:
A. Many students
B. Few students
C. No student
D. Unknown number

10. Which diagram best represents doctors who are also teachers?
A. Two separate circles
B. One circle inside another
C. Two overlapping circles
D. Three circles

MODERATE LEVEL (11–20)

11. In a class of 60 students, 35 like Maths, 25 like Science, and 10 like both. How many like only Maths?
A. 10
B. 15
C. 25
D. 35

12. Based on Q11, how many like only Science?
A. 10
B. 15
C. 25
D. 35

13. Based on Q11, how many like at least one subject?
A. 40
B. 45
C. 50
D. 60

14. A survey shows people who use UPI and Debit Cards. People shown in the overlapping region use:
A. Only UPI
B. Only Debit Card
C. Both methods
D. Cash only

15. In an office diagram, everyone knows MS Word, but only some know Excel. Which diagram fits best?
A. Two equal circles
B. Excel circle inside Word circle
C. Word circle inside Excel circle
D. Two separate circles

16. In a diagram, the shaded region shows people who watch TV but not Newspapers. Which part is shaded?
A. Common area
B. TV-only area
C. Newspaper-only area
D. Outside both

17. If the entire rectangle is shaded except one circle, the shaded part shows people who:
A. Belong to the circle
B. Belong outside the circle
C. Belong to both
D. Belong nowhere

18. A diagram shows three skills: Coding, Design, Marketing. A person placed in only one circle means:
A. Knows all skills
B. Knows two skills
C. Knows exactly one skill
D. Knows none

19. If two circles overlap completely, it means:
A. Groups are totally different
B. Groups are identical
C. One group is smaller
D. No one is common

20. In a diagram, people who like Tea or Coffee or both are shown by:
A. Only the overlap
B. Only outside area
C. Entire area of both circles
D. Only one circle

DIFFICULT LEVEL (21–30)

21. In a town of 120 people, 70 read newspapers, 50 watch news channels, and 30 do both. How many follow neither?
A. 10
B. 20
C. 30
D. 40

22. In a company, some employees know Java, Python, and SQL. Employees placed at the centre of three overlapping circles know:
A. Any one language
B. Any two languages
C. All three languages
D. None

23. A diagram shows Drivers, Car Owners, and Licence Holders. Where will a person who satisfies all three conditions be placed?
A. Outside circles
B. In one circle
C. In overlap of two circles
D. In the central common area

24. In a competitive exam, candidates cleared Written, Interview, or both. Candidates who cleared only written are shown in:
A. Common part
B. Written-only part
C. Interview-only part
D. Outside diagram

25. If no student is shown outside the circles, it means:
A. Everyone belongs to at least one group
B. No one belongs to any group
C. Groups are identical
D. Data is incomplete

26. In a diagram, the area common to exactly two circles (not three) shows people who:
A. Belong to all
B. Belong to none
C. Belong to exactly two groups
D. Belong to one group

27. If one circle overlaps equally with two other circles, it shows that:
A. All three groups are same
B. One group shares members with both groups
C. Groups are unrelated
D. One group is empty

28. A diagram shows Students, Athletes, Scholarship Holders. A student who is an athlete but not a scholarship holder is placed:
A. In centre
B. In student-athlete overlap
C. In athlete-scholar overlap
D. Outside all

29. If the shaded region includes only the non-overlapping parts of two circles, it represents people who:
A. Belong to both groups
B. Belong to neither
C. Belong to only one group
D. Belong to all

30. Which diagram best represents women doctors who are teachers?
A. Three separate circles
B. Two overlapping circles
C. One circle inside another
D. Two non-overlapping circles

PUZZLES

PUZZLE 1
Statement:
Some Teachers are Writers.
Some Writers are Poets.
No Teacher is a Poet.
Question:
Which diagram correctly represents the above information?
A. Three overlapping circles
B. Teacher & Writer overlap; Writer & Poet overlap; Teacher & Poet separate
C. Teacher inside Writer; Poet separate
D. All three circles separate

PUZZLE 2
Statement:
All Doctors are Educated.
Some Educated people are Artists.
No Doctor is an Artist.
Question:
Choose the correct diagram.
A. Three overlapping circles
B. Doctor circle inside Educated; Artist overlaps Educated but not Doctor
C. Artist inside Doctor
D. All circles overlap

PUZZLE 3
Statement:
Some Pens are Markers.
All Markers are Stationery items.
Question:
Which diagram is correct?
A. Pen overlaps Marker; Marker inside Stationery
B. Marker overlaps Stationery
C. Pen inside Marker
D. All separate

PUZZLE 4
Statement:
All Cats are Animals.
Some Animals are Pets.
Some Pets are Cats.
Question:
Correct diagram?
A. Cat circle inside Animal; Pet overlaps Animal and Cat
B. Cat and Pet separate
C. All circles separate
D. Pet inside Cat

PUZZLE 5
Statement:
No Criminal is Honest.
Some Honest people are Brave.
Question:
Choose the correct diagram.
A. Honest overlaps Brave; Criminal separate
B. Criminal overlaps Honest
C. Brave overlaps Criminal
D. All three overlap

PUZZLE 6
Statement:
Some Students are Athletes.
All Athletes are Disciplined.
Question:
Correct representation?
A. Student overlaps Athlete; Athlete inside Disciplined
B. Athlete inside Student
C. Disciplined inside Athlete
D. All overlap

PUZZLE 7
Statement:
All Roses are Flowers.
No Flower is a Tree.
Question:
Which diagram fits?
A. Rose inside Flower; Tree separate
B. Flower inside Tree
C. Tree overlaps Rose
D. All overlap

PUZZLE 8
Statement:
Some Engineers are Managers.
Some Managers are Leaders.
Some Leaders are Engineers.
Question:
Correct diagram?
A. All three circles overlap at centre
B. Only two circles overlap
C. All circles separate
D. One circle inside another

PUZZLE 9
Statement:
All Mobile Phones are Electronic Devices.
Some Electronic Devices are Expensive.
Question:
Correct diagram?
A. Mobile inside Electronic; Expensive overlaps Electronic
B. Expensive inside Mobile
C. All overlap
D. All separate

PUZZLE 10
Statement:
Some Boys are Singers.
No Singer is Lazy.
Question:
Correct diagram?
A. Boys overlap Singers; Lazy separate
B. Lazy overlaps Singer
C. Lazy overlaps Boy
D. All overlap

ANSWER KEY

(1–30)

1. C
2. C
3. D
4. C
5. B
6. C
7. C
8. C
9. C
10. C
11. B
12. A
13. B
14. C
15. B
16. B
17. B
18. C
19. B
20. C
21. B
22. C
23. D
24. B
25. A
26. C
27. B
28. B
29. C
30. C

Puzzles Answers

1. B
2. B
3. A
4. A
5. A
6. A
7. A
8. A
9. A
10. A

Why Venn Diagrams Are Important for Competitive Exams

• Simplifies complex data relationships

• Improves logical & analytical thinking

• Saves time in MCQs

• Boosts accuracy in reasoning questions

• Frequently asked in SSC, Banking, Railways, UPSC, PCS, Prelims, BPSC, DSSSB

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