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Set Theory Questions

Practice 24 Set Theory questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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24
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Practice by Exam:Mathematics(13)Quantitative Aptitude(5)General Intelligence & Reasoning(3)Reasoning Ability(2)Reasoning(1)

About Set Theory — practice questions, PYQs & concepts

Set Theory is a frequently-tested topic on Mathematics, Quantitative Aptitude, General Intelligence & Reasoning. ExamTest.live currently lists 24 Set Theory questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Set Theory weight in competitive exams

Across our Set Theory question bank, the largest sources are Mathematics (13), Quantitative Aptitude (5), General Intelligence & Reasoning (3), Reasoning Ability (2) and Reasoning (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Set Theory questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Set Theory Questions(1–24 of 24)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
13% accuracy
Which of the following is an empty set?
Q2mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
Let be the set of all persons living in a city. Persons are said to be related as if is at least years older than . Which one of the following is correct?
Q3mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
If is a binary operation on defined by the table below:∗12345111111212121311311412141511115Find the value of .
Q4mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
Let be the relation on the set of all real numbers defined by if . Then is:
Q5mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
In a class of students, students play cricket and students play tennis, and students play both the games. Then the number of students who play neither of the two games is :
Q6mediummcqQuantitative AptitudeUP Police Constable2026
50% accuracy
In a survey of , like to play video games, like to play indoor games, and like to play outdoor games. Additionally, like to play both indoor and outdoor games, , , and . Use the Venn diagram to find the students who play only outdoor games.
Q7mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If , then is:
Q8mediummcqQuantitative AptitudeMock Test2026
0% accuracy
In a survey of people, like tea, like coffee, and like both tea and coffee. How many people like neither tea nor coffee?
Q9mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
A coin is tossed twice. If and denote the occurrence of a head on the first toss and second toss respectively, then what is equal to?
Q10mediummcqGeneral Intelligence & ReasoningCompetitive Exam Practice2026
0% accuracy
Study the diagram given below and answer the question that follows.What number of students have sketch colours, crayons as well as pencil colours?(Assume a Venn diagram with intersecting regions where the central common intersection region of all three shapes equals 5).
image
Q11mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If and are two sets such that number of elements in is , number of elements in is and number of elements in both and is , find .
Q12mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Based on a survey of students, students like cold drinks, students like milkshakes, and students like both. How many students like at least one of the drinks?
Q13mediummcqGeneral Intelligence & ReasoningCompetitive Exam2026
If in a group of people, like tea, like coffee, and like both tea and coffee, how many people like only tea?
Q14mediummcqReasoning AbilityPractice Test2026
If and are two sets where the number of elements in set is , the number of elements in set is , and the number of elements common to both sets and is , determine .
Q15mediummcqReasoning AbilityPractice Test2026
In a diagram:
1. Rectangle shows people who eat Apples
2. Ellipse shows people who eat Bananas
3. Triangle shows people who eat Cherries

image

Which letter(s) in the diagram represent those people who eat only bananas (neither apples nor cherries)?
Q16mediummcqGeneral Intelligence & ReasoningCompetitive Exam2026
In a survey of people, have visited Delhi, have visited Mumbai and have visited both cities. What is the ratio of the number of people who visited only Delhi to those who visited only Mumbai?
Q17mediummcqReasoningAUT-242026
In a survey, it was discovered that 21 individuals read English newspapers, 26 individuals read Hindi newspapers, and 29 individuals read regional language newspapers. Furthermore, 14 individuals read both English and Hindi newspapers, 15 individuals read both Hindi and regional language newspapers, 12 individuals read both English and regional language newspapers, and 8 individuals read all three types of newspapers. How many people read only regional language newspapers?
Q18mediummcqMathematicsCompetitive Exam2026
Out of the guests invited to the New Year's party, opted for Indian food, had Italian food, and had Continental food. Additionally, guests had both Indian and Italian food, had both Italian and Continental food, and had both Indian and Continental food. Seven guests had all three types of food. How many guests did not attend the party?
Q19mediummcqMathematicsAIEEE2026
Let and be a relation on the set . The relation is:
Q20mediummcqMathematicsMathematics Mock Test - 112026
If and is a relation defined on such that . Then the relation is:
Q21mediummcqMathematicsMathematics Mock Test - 32026
The identity element for the binary operation defined on as is:
Q22mediummcqMathematicsMathematics Mock Test - 32026
Let be a relation on the set of natural numbers defined by . Which one of the following is correct?
Q23mediummcqMathematicsAIEEE2026
Consider the following relations:;. Then:
Q24mediummcqMathematicsAIEEE 20092026
If and are three sets such that and , then:

Frequently Asked Questions

How many Set Theory questions are on ExamTest.live?▼
We have 24 Set Theory questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Set Theory MCQs free?▼
Yes. All Set Theory questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Set Theory questions?▼
Set Theory questions are commonly asked in Mathematics, Quantitative Aptitude, General Intelligence & Reasoning, Reasoning Ability, Reasoning. You can filter by exam using the links above.
How do I practice Set Theory questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.