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Sets, Relations & Functions

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Q. Which of the following relations is not a function?
  • A. R = {(1, 2), (2, 3), (3, 4)}
  • B. R = {(1, 2), (1, 3)}
  • C. R = {(2, 3), (3, 4)}
  • D. R = {(4, 5), (5, 6)}
Q. Which of the following relations on the set of integers is not a function?
  • A. R1 = {(1, 2), (1, 3)}
  • B. R2 = {(2, 3), (3, 4)}
  • C. R3 = {(4, 5)}
  • D. R4 = {(5, 6), (6, 7)}
Q. Which of the following sets is a power set of F = {1, 2}?
  • A. {{1}, {2}}
  • B. {{}, {1}, {2}, {1, 2}}
  • C. {{1, 2}}
  • D. {{1, 2}, {1}}
Q. Which of the following sets is a power set of F = {a, b}?
  • A. {∅, {a}, {b}}
  • B. {∅, {a}, {b}, {a, b}}
  • C. {a, b}
  • D. {a, b, ∅}
Q. Which of the following sets is a universal set for the sets A = {1, 2} and B = {2, 3}?
  • A. {1, 2, 3}
  • B. {2, 3, 4}
  • C. {1, 2, 4}
  • D. {1, 3}
Q. Which of the following sets is equal to the power set of G = {x, y}?
  • A. {∅, {x}, {y}, {x, y}}
  • B. {x, y}
  • C. {∅, {x, y}}
  • D. {x, y, ∅}
Q. Which of the following sets is equal to the set of all subsets of {1, 2}?
  • A. {{1}, {2}}
  • B. {{}, {1}, {2}, {1, 2}}
  • C. {{1, 2}}
  • D. {{1, 2}, {1}, {2}}
Q. Which of the following sets is not a subset of {1, 2, 3, 4}?
  • A. {1, 2}
  • B. {2, 3, 4}
  • C. {5}
  • D. {1, 2, 3}
Q. Which of the following sets is not a subset of {x | x is a natural number}?
  • A. {1, 2}
  • B. {0}
  • C. {3, 4}
  • D. {5, 6}
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Sets, Relations & Functions MCQ & Objective Questions

Understanding "Sets, Relations & Functions" is crucial for students aiming to excel in their exams. This topic forms the foundation of many mathematical concepts and is frequently tested in various assessments. Practicing MCQs and objective questions not only enhances your grasp of the subject but also boosts your confidence in tackling important questions during exams.

What You Will Practise Here

  • Basic definitions and properties of sets
  • Types of relations and their characteristics
  • Functions: definitions, types, and notations
  • Operations on sets: union, intersection, and difference
  • Venn diagrams and their applications
  • Domain, range, and co-domain of functions
  • Important theorems related to sets and functions

Exam Relevance

The topic of "Sets, Relations & Functions" is integral to the curriculum of CBSE, State Boards, and competitive exams like NEET and JEE. You can expect questions that require you to apply concepts in problem-solving scenarios. Common question patterns include identifying properties of sets, solving problems involving relations, and interpreting functions graphically. Mastery of this topic can significantly enhance your performance in both objective and subjective formats.

Common Mistakes Students Make

  • Confusing the definitions of sets and subsets
  • Misunderstanding the types of relations (reflexive, symmetric, transitive)
  • Overlooking the importance of domain and range in functions
  • Errors in Venn diagram representations
  • Neglecting to apply the correct operations on sets

FAQs

Question: What are the different types of sets?
Answer: The different types of sets include finite sets, infinite sets, equal sets, null sets, and singleton sets.

Question: How do I determine the domain and range of a function?
Answer: The domain is the set of all possible input values, while the range is the set of all possible output values based on the function's definition.

Start solving practice MCQs today to solidify your understanding of "Sets, Relations & Functions". Testing your knowledge with objective questions will prepare you for success in your exams!

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