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Sets Questions

Practice 18 Sets questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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18
Total Questions
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1
Easy
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17
Medium
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0
Hard
Practice by Exam:Mathematics(13)General Intelligence and Reasoning(4)Logical Reasoning(1)

About Sets — practice questions, PYQs & concepts

Sets is a frequently-tested topic on Mathematics, General Intelligence and Reasoning, Logical Reasoning. ExamTest.live currently lists 18 Sets questions spanning previous-year papers from 2004 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.

Sets weight in competitive exams

Across our Sets question bank, the largest sources are Mathematics (13), General Intelligence and Reasoning (4) and Logical Reasoning (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 1 easy Sets 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 Sets Questions(1–18 of 18)

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Q1mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
In throwing a six-faced die, let A be the event that an even number occurs, B be the event that an odd number occurs, and C be the event that a number greater than 3 occurs. Which one of the following is correct?
Q2mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
Let . Which one of the following is correct?
Q3mediummcqMathematicsAIEEE 20062026
0% accuracy
Let denote the words in the English dictionary. Define the relation by . Then is:
Q4mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
Let denote all integers. Define a relation on as if where . Then is:
Q5mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
A card is drawn at random from a pack of cards. What is the probability that the card drawn is either an Ace or a King?
Q6mediummcqMathematicsAIEEE 20072026
0% accuracy
The set is to be partitioned into three sets of equal size. Thus, . The number of ways to partition is:
Q7mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
Let be the set of real numbers.Statement-1 : is an equivalence relation on .Statement-2 : is an equivalence relation on .
Q8mediummcqMathematicsAIEEE 20122026
Let . The number of different ordered pairs that can be formed such that and is empty, is:
Q9mediummcqMathematicsJEE Main2026
Let and be two sets containing elements and elements respectively. The number of subsets of having or more elements is:
Q10mediummcqMathematicsAIEEE 20092026
If and are three sets such that and , then:
Q11mediummcqMathematicsAIEEE2026
A die is thrown. Let be the event that the number obtained is greater than . Let be the event that the number obtained is less than . Then is:
Q12mediummcqMathematicsMathematics Mock Test - 82026
If , , and , then find .
Q13mediummcqGeneral Intelligence and ReasoningPractice Test2026
In a class of students, play cricket, play football, and play both cricket and football. How many students play only cricket?
Q14mediummcqGeneral Intelligence and ReasoningPractice Test2026
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The following Venn diagram shows the result of a survey of persons in a city with respect to their knowledge of Kannada (K), Hindi (H) and Telugu (T). Let the exclusive single language regions be represented by the values: (for Kannada only), (for Hindi only), and (for Telugu only).
How many people know only one language?
Q15mediummcqGeneral Intelligence and ReasoningPractice Test2026
image
The following Venn diagram shows the result of a survey of persons in a city with respect to their knowledge of Kannada (K), Hindi (H) and Telugu (T). The number in the central overlapping region where all three circles intersect is .
How many people know all the three languages?
Q16mediummcqGeneral Intelligence and ReasoningPractice Test2026
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The following Venn diagram shows the result of a survey of persons in a city with respect to their knowledge of Kannada (K), Hindi (H) and Telugu (T).
Let the intersection regions between exactly two sets be represented by the values: (for K and H only), (for H and T only), and (for K and T only).

How many people know exactly two languages?
Q17mediummcqLogical ReasoningCompetitive Exam Prep2026
In a Venn diagram monitoring -year-old students attending online courses during lockdown, the square represents students learning Spanish, the triangle represents those learning music, and the circle represents those learning photography.
The region counts are given as follows:

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* Only Spanish =
* Only Music =
* Only Photography =
* Spanish & Music only =
* Music & Photography only =
* Spanish & Photography only =
* All three courses =

What approximately is the percentage of students who are learning one course only?
Q18easymcqMathematicsAIEEE 20042004
0% accuracy
Let be a relation on the set The relation is

Frequently Asked Questions

How many Sets questions are on ExamTest.live?▼
We have 18 Sets questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Sets MCQs free?▼
Yes. All Sets questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Sets questions?▼
Sets questions are commonly asked in Mathematics, General Intelligence and Reasoning, Logical Reasoning. You can filter by exam using the links above.
How do I practice Sets 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.