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JEE Main Sets, Relations and Functions — practice questions

Explore 32 free Sets, Relations and Functions questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sets, Relations and Functions questions and exercises with answers

Showing questions 1–30 of 32.

Roster form or set-builder form?Read the answer and worked solution →True or false: sets and relationsRead the answer and worked solution →A set is described as a collection of objects that is:Read the answer and worked solution →Listing out every element between braces is the:Read the answer and worked solution →Describing members by a shared property is the:Read the answer and worked solution →In roster form an element that repeats is written:Read the answer and worked solution →A set containing no element at all is called the:Read the answer and worked solution →The number of distinct elements of a set S is written as:Read the answer and worked solution →A set whose element count is a natural number is:Read the answer and worked solution →The set of all natural numbers is an example of a set that is:Read the answer and worked solution →A is a subset of B when every element of A also lies in:Read the answer and worked solution →The collection of all subsets of a set is called its:Read the answer and worked solution →The set holding everything under discussion is called:Read the answer and worked solution →The universal set is usually written with the letter:Read the answer and worked solution →In population studies, the universal set is all the:Read the answer and worked solution →Diagrams drawn to picture sets and their relations are called:Read the answer and worked solution →The set of even prime numbers greater than two is:Read the answer and worked solution →Counting the elements of a set counts only those that are:Read the answer and worked solution →For a set to be well defined, membership must be:Read the answer and worked solution →The empty set written in braces holds how many elements?Read the answer and worked solution →A set whose elements share one common property is written in:Read the answer and worked solution →The universal set for the integers can be taken as the:Read the answer and worked solution →A set with a countable and finite number of members is:Read the answer and worked solution →Elements of a set in roster form are separated by:Read the answer and worked solution →True or false on setsRead the answer and worked solution →Quick picks on setsRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →Finite or infiniteRead the answer and worked solution →Roster or builder formRead the answer and worked solution →Build a power setRead the answer and worked solution →

Worked practice questions

Roster form or set-builder form?

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Items
  1. Item
    Elements listed
    Category
    Roster
  2. Item
    Order irrelevant
    Category
    Roster
  3. Item
    Written 2, 4, 6
    Category
    Roster
  4. Item
    States a property
    Category
    Set-builder
  5. Item
    One common rule
    Category
    Set-builder
  6. Item
    x such that ...
    Category
    Set-builder
Categories
  1. Item
    Roster
  2. Item
    Set-builder
Instructions
Tap a description, then tap the form of writing a set it names.
_Source: syllabus Maths Ch1 Sets, 1.1 Introduction_

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True or false: sets and relations

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Questions
  1. Statement is true
    Yes
    Statement
    In roster form the order of the elements does not matter.
  2. Statement is true
    Yes
    Statement
    In set-builder form the elements share one common property.
  3. Statement is true
    No
    Statement
    An element is written twice in roster form if it occurs twice.
  4. Statement is true
    Yes
    Statement
    A relation is a subset of a cartesian product.
Instructions
Decide whether each statement is true or false.
_Source: syllabus Maths Ch1 Sets, 1.1 Introduction_

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A set is described as a collection of objects that is:

  1. Well defined
  2. Loosely made
  3. Partly known
  4. Never listed
Show answer and solution

Correct answer: A. Well defined

1. Membership of a set must never be a matter of opinion. 2. Anyone must be able to say whether an object belongs. 3. So a set is a well-defined collection of objects. _Source: syllabus Mathematics, Chapter 1, Sets._

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