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Set Theory

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Q. In a class of 50 students, 20 study English, 25 study Hindi, and 10 study both. How many students study only Hindi?
  • A. 15
  • B. 20
  • C. 25
  • D. 10
Q. In a class of 50 students, 20 study English, 25 study History, and 10 study both. How many students study only History?
  • A. 15
  • B. 25
  • C. 10
  • D. 20
Q. In a class of 50 students, 30 study English, 25 study Mathematics, and 10 study both. How many study only Mathematics?
  • A. 15
  • B. 20
  • C. 25
  • D. 10
Q. In a class, 12 students play cricket, 10 play football, and 5 play both. How many students play only cricket?
  • A. 5
  • B. 7
  • C. 10
  • D. 12
Q. In a class, 12 students play cricket, 15 play football, and 5 play both. How many students play either cricket or football?
  • A. 22
  • B. 20
  • C. 15
  • D. 10
Q. In a class, 25 students play cricket, 20 play football, and 5 play neither. How many students play at least one sport?
  • A. 20
  • B. 25
  • C. 30
  • D. 35
Q. In a class, 25 students study English, 20 study Hindi, and 5 study both. What is the number of students studying only Hindi?
  • A. 15
  • B. 20
  • C. 25
  • D. 5
Q. In a group of 50 people, 30 like chocolate, 20 like vanilla, and 10 like both. How many like only vanilla?
  • A. 10
  • B. 20
  • C. 30
  • D. 0
Q. In a library, 50 books are fiction, 30 are non-fiction, and 10 are both. How many books are only fiction?
  • A. 30
  • B. 40
  • C. 50
  • D. 10
Q. In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only chocolate?
  • A. 30
  • B. 40
  • C. 50
  • D. 20
Q. In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only vanilla?
  • A. 30
  • B. 20
  • C. 50
  • D. 40
Q. In a survey of 100 students, 60 like Mathematics, 50 like Science, and 30 like both subjects. How many students like only Mathematics?
  • A. 30
  • B. 50
  • C. 20
  • D. 40
Q. In a survey of 50 people, 30 like chocolate, 20 like vanilla, and 10 like both. How many people like only chocolate?
  • A. 20
  • B. 30
  • C. 10
  • D. 40
Q. In a survey, 40 people like tea, 30 like coffee, and 10 like both. How many people like either tea or coffee?
  • A. 60
  • B. 70
  • C. 50
  • D. 40
Q. In a survey, 40 people like tea, 30 like coffee, and 10 like both. How many people like only tea?
  • A. 30
  • B. 20
  • C. 10
  • D. 40
Q. In a survey, 50 people like apples, 40 like bananas, and 20 like both. How many people like only bananas?
  • A. 20
  • B. 30
  • C. 40
  • D. 10
Q. In a survey, 50 people were asked about their favorite fruit. 30 like apples, 20 like bananas, and 5 like both. How many like only bananas?
  • A. 15
  • B. 20
  • C. 5
  • D. 25
Q. In a survey, 50 people were asked about their favorite fruit. 30 like apples, 20 like bananas, and 5 like both. How many like only apples? (2023)
  • A. 25
  • B. 30
  • C. 20
  • D. 5
Q. In a survey, 60% of people like tea, 50% like coffee, and 20% like both. What percentage of people like either tea or coffee?
  • A. 90%
  • B. 80%
  • C. 70%
  • D. 50%
Q. In a survey, 80% of people like tea, 60% like coffee, and 30% like both. What percentage of people like only tea?
  • A. 50%
  • B. 30%
  • C. 20%
  • D. 10%
Showing 31 to 50 of 50 (2 Pages)

Set Theory MCQ & Objective Questions

Set Theory is a fundamental concept in mathematics that plays a crucial role in various exams. Understanding this topic is essential for students aiming to excel in their school exams and competitive tests. Practicing Set Theory MCQs and objective questions not only enhances conceptual clarity but also boosts your confidence in tackling important questions during exams.

What You Will Practise Here

  • Basic definitions and notation of sets
  • Types of sets: finite, infinite, equal, and null sets
  • Set operations: union, intersection, and difference
  • Venn diagrams and their applications
  • Power sets and Cartesian products
  • Applications of set theory in real-life scenarios
  • Important formulas and theorems related to sets

Exam Relevance

Set Theory is a significant topic in various educational boards, including CBSE and State Boards. It frequently appears in the form of MCQs, short answer questions, and problem-solving questions in exams like NEET and JEE. Students can expect questions that test their understanding of set operations, Venn diagrams, and the application of set theory in problem-solving. Familiarity with common question patterns will aid in better preparation and scoring.

Common Mistakes Students Make

  • Confusing the concepts of union and intersection
  • Misinterpreting Venn diagrams and their representations
  • Overlooking the importance of null sets and their properties
  • Struggling with the application of set operations in word problems

FAQs

Question: What are the basic operations in Set Theory?
Answer: The basic operations in Set Theory include union, intersection, and difference of sets.

Question: How can Venn diagrams help in understanding Set Theory?
Answer: Venn diagrams visually represent the relationships between sets, making it easier to understand operations like union and intersection.

Now is the time to enhance your understanding of Set Theory! Dive into our practice MCQs and test your knowledge on important Set Theory questions for exams. The more you practice, the better you will score!

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