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JEE Main Sets and Relations — practice questions — page 2

Explore 66 free Sets and Relations questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sets and Relations questions and exercises with answers

Showing questions 31–60 of 66.

A relation $f$ from $A$ to $B$ is a function if every element of $A$ has:Read the answer and worked solution →The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:Read the answer and worked solution →Roster form or set-builder form?Read the answer and worked solution →True or false: setsRead the answer and worked solution →Match each relation termRead the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →The collection of the five most renowned mathematicians of the world is:Read the answer and worked solution →Is the river Nile a member of the set of rivers of India?Read the answer and worked solution →The symbol Z stands for the set of all:Read the answer and worked solution →You write the even positive integers below 7 as {2, 4, 6}. This way of writing is the:Read the answer and worked solution →The set of odd natural numbers is written {1, 3, 5, ...}. The dots mean the list:Read the answer and worked solution →Writing the letters of SCHOOL as a set, the letter O is listed:Read the answer and worked solution →{x : x is a vowel in the English alphabet} describes a set by a common property. This is the:Read the answer and worked solution →Students studying in both Class X and Class XI at the same time form a set that is:Read the answer and worked solution →Even prime numbers greater than 2 form the empty set because:Read the answer and worked solution →The set of days of the week is:Read the answer and worked solution →Why can't the set of real numbers be written in roster form?Read the answer and worked solution →A = {1, 2, 3} and B = {2, 2, 1, 3, 3}. The two sets are:Read the answer and worked solution →Every student in your class is also a student of your school. The class set is a ___ of the school set.Read the answer and worked solution →Is every set a subset of itself?Read the answer and worked solution →The empty set is a subset of:Read the answer and worked solution →A set with exactly one element is called a:Read the answer and worked solution →The open interval (a, b) leaves out:Read the answer and worked solution →How many subsets does {1, 2} have?Read the answer and worked solution →The collection of all subsets of A is called the:Read the answer and worked solution →In a Venn diagram the universal set is usually drawn as a:Read the answer and worked solution →A = {2, 4, 6, 8} and B = {6, 8, 10, 12}. In A union B the elements 6 and 8 appear:Read the answer and worked solution →U = {1, 2, ..., 10} and A = {1, 3, 5, 7, 9}. The complement of A is:Read the answer and worked solution →Catch the real setsRead the answer and worked solution →Pop the empty setsRead the answer and worked solution →

Worked practice questions

A relation $f$ from $A$ to $B$ is a function if every element of $A$ has:

  1. no image in B
  2. exactly one image in $B$
  3. an image equal to itself
  4. at least two images in B
Show answer and solution

Correct answer: B. exactly one image in $B$

A function assigns each element of the domain exactly one image in the codomain.

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The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:

  1. A straight line through the origin with positive slope
  2. A parabola opening upward centered at the origin point
  3. A circle of radius 1 centered at the origin on the plane
  4. A hyperbola with the axes as its two asymptotes here
Show answer and solution

Correct answer: D. A hyperbola with the axes as its two asymptotes here

$f(x) = 1/x$ is a rectangular hyperbola with x- and y-axes as asymptotes.

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Roster form or set-builder form?

Read exercise and reference answers
Items
  1. Item
    Elements listed
    Category
    Roster
  2. Item
    Order irrelevant
    Category
    Roster
  3. Item
    Written as 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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