JEE Exam  >  JEE Tests  >  Mathematics (Maths) for JEE Main & Advanced  >  Sets, Relations and Functions - 2 - JEE MCQ

Sets, Relations and Functions - 2 - JEE MCQ


Test Description

30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Sets, Relations and Functions - 2

Sets, Relations and Functions - 2 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Sets, Relations and Functions - 2 questions and answers have been prepared according to the JEE exam syllabus.The Sets, Relations and Functions - 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Sets, Relations and Functions - 2 below.
Solutions of Sets, Relations and Functions - 2 questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Sets, Relations and Functions - 2 solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Sets, Relations and Functions - 2 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Sets, Relations and Functions - 2 - Question 1


Detailed Solution for Sets, Relations and Functions - 2 - Question 1


Sets, Relations and Functions - 2 - Question 2

Let A = {1, 2, 3, 4}, and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then R is-

Detailed Solution for Sets, Relations and Functions - 2 - Question 2


1 Crore+ students have signed up on EduRev. Have you? Download the App
Sets, Relations and Functions - 2 - Question 3

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

Detailed Solution for Sets, Relations and Functions - 2 - Question 3


Sets, Relations and Functions - 2 - Question 4

If R is relation from a set A to a set B and S is a relation from B to C, then the relation S o R

Detailed Solution for Sets, Relations and Functions - 2 - Question 4


Sets, Relations and Functions - 2 - Question 5


Detailed Solution for Sets, Relations and Functions - 2 - Question 5


Sets, Relations and Functions - 2 - Question 6

    A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by xRy ⇔ x is relatively prime to y. Then domain of R is

Detailed Solution for Sets, Relations and Functions - 2 - Question 6

x R y ⇔ x is relatively prime to y.

R = {(2, 3), (2, 7), (3, 7), (3, 10), (4, 3), (4, 7), (5, 3), (5, 7)}

domain of R = {2, 3, 4, 5}  

Sets, Relations and Functions - 2 - Question 7

Let R be the real line. Consider the following subsets of the plane R × R : 

    S = {(x, y): y = x + 1 and 0 < x < 2}

    T = {(x, y) : x – y is an integer}. 

    Which one of the following is true ? 

Detailed Solution for Sets, Relations and Functions - 2 - Question 7


Sets, Relations and Functions - 2 - Question 8

Let R and S be two equivalence relations on a set A. Then

Detailed Solution for Sets, Relations and Functions - 2 - Question 8

R and S be two equivalence relation on a set A.

R ∩ S is an equivalence relation on A.

Sets, Relations and Functions - 2 - Question 9

Let R be a relation on the set N of natural numbers defined by nRm Û n is a factor of m  (i.e. n | m). Then R is 

Detailed Solution for Sets, Relations and Functions - 2 - Question 9



Sets, Relations and Functions - 2 - Question 10

Let R and S be two non-void relations on a set A. Which of the following statements is false?

Detailed Solution for Sets, Relations and Functions - 2 - Question 10


Sets, Relations and Functions - 2 - Question 11

Let W denote the words in the English dictionary. Define the relation R by : R = {(x, y) ∈ W × W | the words  x and y have at least one letter in common}. Then R is –    

Detailed Solution for Sets, Relations and Functions - 2 - Question 11


Sets, Relations and Functions - 2 - Question 12

If R be a relation < from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e.  (a, b) ∈ R ⇔  a < b, then RoR–1 is

Detailed Solution for Sets, Relations and Functions - 2 - Question 12

R = {(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}

R–1 = {(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}

RoR–1 = {(3, 3), (3, 5), (5, 3), (5, 5)}

Sets, Relations and Functions - 2 - Question 13

Let R {(3, 3), (6, 6), (9, 9), (12, 12) (6, 12) (3, 9) (3, 12), (3, 6)} be a relation on the set  A = {3, 6, 9, 12}. The relation is -

Detailed Solution for Sets, Relations and Functions - 2 - Question 13

(6, 12) ∈ R but (12, 6) ∉ R  ⇒  R is not symmetric.

Sets, Relations and Functions - 2 - Question 14

Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball of the total , 64 played both basketball and hockey, 80 played cricket and basketball and 40 played cricket and hockey, 24 played all the three games. The number of boys who play only cricket is


Detailed Solution for Sets, Relations and Functions - 2 - Question 14


Sets, Relations and Functions - 2 - Question 15

The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is -

Detailed Solution for Sets, Relations and Functions - 2 - Question 15

Since (1, 1) ; (2, 2) ; (3, 3) Î R therefore, R is reflexive. (1, 2) but (2, 1) ∉R, therefore, R is not symmetric. It can be easily seen that R is transitive.

Sets, Relations and Functions - 2 - Question 16

Let A and B be two sets each containing three elements then number of subsets of A × B, each having at least two and at most 7 elements, is equal to

Detailed Solution for Sets, Relations and Functions - 2 - Question 16


Sets, Relations and Functions - 2 - Question 17

Let R be a relation defined in the set of real numbers by a R b ⇔ 1 + ab > 0. Then R is-

Detailed Solution for Sets, Relations and Functions - 2 - Question 17


Sets, Relations and Functions - 2 - Question 18

The relation R defined in A = {1, 2, 3} by aRb if |a2 – b2| ≤ 5. Which of the following is false

Detailed Solution for Sets, Relations and Functions - 2 - Question 18


Sets, Relations and Functions - 2 - Question 19

Let  W denote the words in the English dictionary. Define the relation R by

R = {(x,y) ∈ W × W | the words x and y have atleast one letter in common |

Then  R  is

Detailed Solution for Sets, Relations and Functions - 2 - Question 19


Sets, Relations and Functions - 2 - Question 20

The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(x, y) : | x2 – y2 | < 16} is given  by

Detailed Solution for Sets, Relations and Functions - 2 - Question 20



Sets, Relations and Functions - 2 - Question 21

The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is -

Detailed Solution for Sets, Relations and Functions - 2 - Question 21


Sets, Relations and Functions - 2 - Question 22

Let R : A → A, A is set of all children in a family such that x R ⇒ y  x is brother of ‘y’ (where x, y ∈ A), then R is-

Detailed Solution for Sets, Relations and Functions - 2 - Question 22


Sets, Relations and Functions - 2 - Question 23

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a releation on the set A = {1, 2, 3, 4}. The relation R is-    

Detailed Solution for Sets, Relations and Functions - 2 - Question 23


Sets, Relations and Functions - 2 - Question 24

Let N denote the set of all natural numbers and R be the relation on N × N defined by  (a, b) R (c, d) if ad (b + c) = bc (a + d), then R is-

Detailed Solution for Sets, Relations and Functions - 2 - Question 24

Sets, Relations and Functions - 2 - Question 25

For real numbers x and y, we write x R y ⇔ x – y + √2 is an irrational number. Then the relation R is -

Detailed Solution for Sets, Relations and Functions - 2 - Question 25


Sets, Relations and Functions - 2 - Question 26

An integer m is said to be related to another integer n if m is a multiple of n. Then, the relation is

Detailed Solution for Sets, Relations and Functions - 2 - Question 26


Sets, Relations and Functions - 2 - Question 27

Given the relation R = {(2, 3), (3,4)}  on the set {2, 3, 4}. The number of minimum number of ordered pairs to be added to R so that R is  reflexive and symmetric –

Detailed Solution for Sets, Relations and Functions - 2 - Question 27

R {(2, 2), (3, 3), (2, 3), (3, 2) (3, 4), (4, 3), (4, 4)}

Sets, Relations and Functions - 2 - Question 28

The void relation on a set  A  is

Detailed Solution for Sets, Relations and Functions - 2 - Question 28

The void relation f on A is not reflexive as (a, a) ∈ ϕ for any a ∉ A. The void relation is symmetric and transitive.

Sets, Relations and Functions - 2 - Question 29

The relation "less than" in the set of natural numbers is

Detailed Solution for Sets, Relations and Functions - 2 - Question 29


Sets, Relations and Functions - 2 - Question 30

The minimum number of elements that must be added to the relation R = {(1, 2), (2, 3)} on the set {1,2,3}, so that it is equivalence is-

Detailed Solution for Sets, Relations and Functions - 2 - Question 30

R ={(1, 2), (2, 3), (1, 1) (2, 2), (2, 1), (3, 2), (1, 3), (3, 1) (3, 3)}

209 videos|443 docs|143 tests
Information about Sets, Relations and Functions - 2 Page
In this test you can find the Exam questions for Sets, Relations and Functions - 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Sets, Relations and Functions - 2, EduRev gives you an ample number of Online tests for practice

Up next

Download as PDF

Up next