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Sets and Relations — JEE Main & Advanced Mathematics PYQs

242 previous year questions from Sets and Relations with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

242 questionsMathematicsSolutions on every page
1

Let S = 1, 2, 3, , 10 . Consider the set X = R : R is an equivalence relation on the set S such that R has exactly 42 elements . Then the number of elements in X is _____________.

JEE Advanced 2026 Solution View → 2

Consider the relation R on the set -2,-1,0,1,2 defined by (a, b) R if and only if 1+ab > 0 . Then, among the statements: I. The number of elements in R is 17 II. R is an equivalenc

JEE Main 2026 Solution View → 3

Let R = (x, y) N N : _e(x + y) 2 . Then the minimum number of elements, required to be added in R to make it a transitive relation, is __________.

JEE Main 2026 Solution View → 4

Let A = 1, 4, 7 and B = 2, 3, 8 . Then the number of elements, in the relation R = ((a₁, b₁), (a₂, b₂)) ((A B) (A B)) : a₁ + b₂ divides a₂ + b₁ is _______.

JEE Main 2026 Solution View → 5

Let A = 2, 3, 4, 5, 6 . Let R be a relation on the set A A given by (x, y) R (z, w) if and only if x divides z and y w . Then the number of elements in R is _______.

JEE Main 2026 Solution View → 6

Let R be a relation defined on the set 1,2,3,4 1,2,3,4 by R = ((a, b),(c, d)): 2 a+3 b=3 c+4 d . Then the number of elements in R is

JEE Main 2026 Solution View → 7

Let A = 0,1,2, , 9 . Let R be a relation on A defined by (x, y) R if and only if |x-y| is a multiple of 3. Given below are two statements: Statement I : n( R )=36 . Statement II :

JEE Main 2026 Solution View → 8

Let A = -2,-1,0,1,2,3,4 . Let R be a relation on A defined by x Ry if and only if 2 x+y 2 . Let l be the number of elements in R. Let m and n be the minimum number of elements requ

JEE Main 2026 Solution View → 9

The number of elements in the relation R = (x, y): 4 x²+y²<52, x, y Z is

JEE Main 2026 Solution View → 10

Let S be the set of the first 11 natural numbers. Then the number of elements in A= B S: n(B) 2 and the product of all elements of B is even is _ _ _ _ .

JEE Main 2026 Solution View → 11

Let the relation R on the set M = 1,2,3, , 16 be given by R = (x, y): 4 y=5 x-3, x, y M . Then the minimum number of elements required to be added in R, in order to make the relati

JEE Main 2026 Solution View → 12

Let A = x: |x²-10 | 6 and B = x:|x-2|>1 . Then

JEE Main 2026 Solution View → 13

Let A = 2,3,5,7,9 . Let R be the relation on A defined by x R y if and only if 2 x 3 y . Let l be the number of elements in R, and m be the minimum number of elements required to b

JEE Main 2026 Solution View → 14

The number of relations, defined on the set a , b , c , d , which are both reflexive and symmetric, is equal to:

JEE Main 2026 Solution View → 15

Let the set of all relations R on the set a, b, c, d, e, f , such that R is reflexive and symmetric, and R contains exactly 10 elements, be denoted by S . Then the number of elemen

JEE Advanced 2025 Solution View → 16

Let A= 0,1,2,3,4,5 . Let R be a relation on A defined by (x, y) R if and only if max x, y 3,4 . Then among the statements ( S ₁ ) : The number of elements in R is 18 , and ( S ₂ )

JEE Main 2025 Solution View → 17

The number of relations on the set A = 1,2,3 containing at most 6 elements including (1,2) , which are reflexive and transitive but not symmetric, is ________

JEE Main 2025 Solution View → 18

Let A = -3,-2,-1,0,1,2,3 and R be a relation on A defined by x R y if and only if 2 x-y 0,1 . Let l be the number of elements in R. Let m and n be the minimum number of elements re

JEE Main 2025 Solution View → 19

Let A= -2,-1,0,1,2,3 . let R be a relation on A defined by x R y if and only if y= x, 1 . Let l be the number of elements in R. Let m and n be the minimum number of elements requir

JEE Main 2025 Solution View → 20

Let A= -3,-2,-1,0,1,2,3 , . Let R be a relation on A defined by x R y if and only if 0 x^2+2 y 4 . Let l be the number of elements in R and m be the minimum number of elements requ

JEE Main 2025 Solution View → 21

Let A = 1,2,3, , 10 and R be a relation on A such that R = ( a , b ): a =2 ~b +1 . Let ( a ₁, a ₂ ) , (a₂, a₃ ), (a₃, a₄ ), ., (a_k, a_ k+1 ) be a sequence of k elements of R such

JEE Main 2025 Solution View → 22

Let A be the set of all functions f: Z Z and R be a relation on A such that R = ( f , g ): f(0)= g (1) and f(1)= g (0) . Then R is:

JEE Main 2025 Solution View → 23

Let S= N 0 . Define a relation R from S to R by : R = (x, y): _ e y=x _ e ( 2 5 ), x ~S , y R Then, the sum of all the elements in the range of R is equal to :

JEE Main 2025 Solution View → 24

Define a relation R on the interval ( [0, 2 ) ) by (x R y ) if and only if ( ^2 x- ^2 y=1 ). Then R is :

JEE Main 2025 Solution View → 25

The relation R= (x, y): x, y Z and x+y is even is:

JEE Main 2025 Solution View → 26

Let A = x (0, )- 2 : _ (2 / ) | x|+ _ (2 / ) | x|=2 and B = x 0: x ( x -4)-3| x -2|+6=0 . Then n ( A B ) is equal to :

JEE Main 2025 Solution View → 27

Let S= p₁, p₂ ., p₁₀ be the set of first ten prime numbers. Let A=S P , where P is the set of all possible products of distinct elements of S . Then the number of all ordered pairs

JEE Main 2025 Solution View → 28

Let A = (x, y) R R :|x+y| 3 and B = (x, y) R R :|x|+|y| 3 . If C = (x, y) A B : x=0 or y=0 , then _ (x, y) C |x+y| is :

JEE Main 2025 Solution View → 29

Let X= R R . Define a relation R on X as : (a₁, b₁ ) R (a₂, b₂ ) b₁=b₂ Statement I : R is an equivalence relation. Statement II : For some (a, b) X , the set S= (x, y) X:(x, y) R(a

JEE Main 2025 Solution View → 30

Let R = (1,2),(2,3),(3,3) be a relation defined on the set 1,2,3,4 . Then the minimum number of elements, needed to be added in R so that R becomes an equivalence relation, is:

JEE Main 2025 Solution View → 31

Let A= 1,2,3 . The number of relations on A , containing (1,2) and (2,3) , which are reflexive and transitive but not symmetric, is ______ -

JEE Main 2025 Solution View → 32

The number of non-empty equivalence relations on the set 1,2,3 is :

JEE Main 2025 Solution View → 33

Let A= 1,2,3, , 10 and B= m n : m, n A, m n . and . gcd (m, n)=1 . Then n(B) is equal to :

JEE Main 2025 Solution View → 34

If n(X)= ^m C₆ , then the value of m is

JEE Advanced 2024 Solution View → 35

If the value of n(Y)+n(Z) is k^2 , then |k| is Let (S= 1,2,3,4,5,6 ) and (X ) be the set of all relations (R ) from (S ) to (S ) that satisfy both the following properties: i. (R )

JEE Advanced 2024 Solution View → 36

Let A= 2,3,6,7 and B= 4,5,6,8 . Let R be a relation defined on A B by (a₁, b₁ ) R (a₂, b₂ ) if and only if a₁+a₂=b₁+b₂ . Then the number of elements in R is _________

JEE Main 2024 Solution View → 37

Let A= 2,3,6,8,9,11 and B= 1,4,5,10,15 . Let R be a relation on A B defined by (a, b) R(c, d) if and only if 3 a d-7 b c is an even integer. Then the relation R is

JEE Main 2024 Solution View → 38

Let A= 1,2,3,4,5 . Let R be a relation on A defined by x R y if and only if 4 x 5 y . Let m be the number of elements in R and n be the minimum number of elements from A A that are

JEE Main 2024 Solution View → 39

Let the relations R₁ and R₂ on the set X= 1,2,3, , 20 be given by R₁= (x, y): 2 x-3 y=2 and R₂= (x, y):-5 x+4 y=0 . If M and N be the minimum number of elements required to be adde

JEE Main 2024 Solution View → 40

Let the set S= 2,4,8,16, , 512 be partitioned into 3 sets A, B, C with equal number of elements such that A B C = S and A B = B C = A C = . The maximum number of such possible part

JEE Main 2024 Solution View → 41

Let a relation R on N N be defined as: (x₁, y₁ ) R (x₂, y₂ ) if and only if x₁ x₂ or y₁ y₂ . Consider the two statements: (I) R is reflexive but not symmetric. (II) R is transitive

JEE Main 2024 Solution View → 42

In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studied Mathematics; at least 85 and at most 95 studied Physics; a

JEE Main 2024 Solution View → 43

Consider the relations R 1 and R 2 defined as a R 1 b ⇔ a 2 + b 2 = 1 for all a , b , ∈ R and a , b R 2 c , d ⇔ a + d = b + c for all a , b , c , d ∈ N × N . Then

JEE Main 2024 Solution View → 44

The number of elements in the set S = x , y , z : x , y , z ∈ Z , x + 2 y + 3 z = 42 , x , y , z ≥ 0 equals ________

JEE Main 2024 Solution View → 45

Let A = 1 , 2 , 3 , . ..20 . Let R 1 and R 2 two relation on A such that R 1 = a , b : b is divisible by a R 2 = a , b : a is an integral multiple of b Then, number of elements in

JEE Main 2024 Solution View → 46

Let A = 1 , 2 , 3 , . ...100 . Let R be a relation on A defined by x , y ∈ R if and only if 2 x = 3 y . Let R 1 be a symmetric relation on A such that R ⊂ R 1 and the number of ele

JEE Main 2024 Solution View → 47

Let A = 1 , 2 , 3 , 4 and R = ( 1 , 2 ) , ( 2 , 3 ) , ( 1 , 4 ) be a relation on A . Let S be the equivalence relation on A such that R ⊂ S and the number of elements in S is n . T

JEE Main 2024 Solution View → 48

The number of symmetric relations defined on the set 1 , 2 , 3 , 4 which are not reflexive is _______.

JEE Main 2024 Solution View → 49

A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics & Chemistry. It was found that all students passed in at least one of the subjects, 20 studen

JEE Main 2024 Solution View → 50

If R is the smallest equivalence relation on the set 1 , 2 , 3 , 4 such that ( 1 , 2 ) , ( 1 , 3 ) ⊂ R , then the number of elements in R is ______.

JEE Main 2024 Solution View → 51

Let R be a relation on Z × Z defined by ( a , b ) R ( c , d ) if and only if a d - b c is divisible by 5 . Then R is

JEE Main 2024 Solution View → 52

Let S = 1 , 2 , 3 , … , 10 . Suppose M is the set of all the subsets of S , then the relation R = ( A , B ) : A ∩ B ≠ ϕ ; A , B ∈ M is :

JEE Main 2024 Solution View → 53

The number of elements in the set n &#8712; &#8469; : 10 &#8804; n &#8804; 100 and 3 n - 3 is a multiple of 7 is _______.

JEE Main 2023 Solution View → 54

Let A = 1 , &#160; 2 , &#160; 3 , &#160; 4 and R be a relation on the set A &#215; A defined by R = a , &#160; b , &#160; c , &#160; d : 2 a + 3 b = 4 c + 5 d . Then the number of

JEE Main 2023 Solution View → 55

Let A = - 4 , - 3 , - 2 , 0 , 1 , 3 , 4 and R = ( a , b ) &#8712; A &#215; A : b = | a | or b 2 = a + 1 be a relation on A . Then the minimum number of elements, that must be added

JEE Main 2023 Solution View → 56

The number of relations, on the set 1 , 2 , 3 containing 1 , 2 and 2 , 3 which are reflexive and transitive but not symmetric, is _________.

JEE Main 2023 Solution View → 57

Let A = 1 , 3 , 4 , 6 , 9 and B = 2 , 4 , 5 , 8 , 10 . Let R be a relation defined on A &#215; B such that R = a 1 , b 1 , a 2 , b 2 : a 1 &#8804; b 2 and b 1 &#8804; a 2 . Then th

JEE Main 2023 Solution View → 58

An organization awarded 48 medals in event A ' ' , 25 in event B ' ' and 18 in event C ' ' . If these medals went to total 60 men and only five men got medals in all the three even

JEE Main 2023 Solution View → 59

Let A = 2 , 3 , 4 and B = 8 , 9 , 12 . Then the number of elements in the relation R = a 1 , b 1 , a 2 , b 2 &#8712; A &#215; B , A &#215; B : a 1 divides b 2 and a 2 divides b 1 i

JEE Main 2023 Solution View → 60

The number of elements in the set n &#8712; &#8484; : n 2 - 10 n + 19 &#60; 6 is _______ .

JEE Main 2023 Solution View → 61

Let A = 1 , 2 , 3 , 4 , 5 , 6 , 7 . Then the relation R = ( x , y ) &#8712; A &#215; A : x + y = 7 is

JEE Main 2023 Solution View → 62

Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A &#215; B each having at least 3 and at most 6 elements is

JEE Main 2023 Solution View → 63

Let A = 0 , 3 , 4 , 6 , 7 , 8 , 9 , 10 and R be the relation defined on A such that R x , y &#8712; A &#215; A : x - y is odd positive integer or x - y = 2 . The minimum number of

JEE Main 2023 Solution View → 64

In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons who speak only English is &#945; and t

JEE Main 2023 Solution View → 65

Let A = 1 , 2 , 3 , 4 , . . . . . . . . . . 10 and B = 0 , 1 , 2 , 3 , 4 . The number of elements in the relation R = ( a , b ) &#8712; A &#215; A : 2 a - b 2 + 3 a - b &#8712; B i

JEE Main 2023 Solution View → 66

Let P S denote the power set of S = 1 , 2 , 3 , &#8230; , 10 . Define the relations R 1 and R 2 on P S as A R 1 B if A &#8745; B c &#8746; B &#8745; A c = &#981; and A R 2 B if A &

JEE Main 2023 Solution View → 67

Let R be a relation on &#8477; , given by R = a , b : 3 a - 3 b + 7 is an irrational number . Then R is

JEE Main 2023 Solution View → 68

Among the relations S = a , b : a , b &#8712; R - 0 , 2 + a b &#62; 0 and T = a , b : a , b &#8712; R , a 2 - b 2 &#8712; Z ,

JEE Main 2023 Solution View → 69

Let R be a relation on N &#215; N defined by a , b R c , d if and only if a d b - c = b c a - d . Then R is

JEE Main 2023 Solution View → 70

The minimum number of elements that must be added to the relation R = ( a , b ) , ( b , c ) on the set a , b , c so that it becomes symmetric and transitive is:

JEE Main 2023 Solution View → 71

Let R be a relation defined on &#8469; as a R b is 2 a + 3 b is a multiple of 5 , a , b &#8712; &#8469; . Then R is

JEE Main 2023 Solution View → 72

The minimum number of elements that must be added to relation R = a , b , b , c , b , d on the set a , b , c , d , so that it is an equivalence relation is

JEE Main 2023 Solution View → 73

The relation R = a , b : g c d a , b = 1 , 2 a &#8800; b , a , b &#8712; &#8484; is:

JEE Main 2023 Solution View → 74

In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever, 220 persons had symptom of cough, 220 persons had symptom of bre

JEE Advanced 2022 Solution View → 75

Let R be a relation from the set 1 , 2 , 3 &#8230; &#8230; &#8230; , 60 to itself such that R = a , b : b = p q , where p , q &#8805; 3 are prime numbers . Then, the number of elem

JEE Main 2022 Solution View → 76

For &#945; &#8712; N , consider a relation R on N given by R = x , y : 3 x + &#945; y is a multiple of 7 . The relation R is an equivalence relation if and only if

JEE Main 2022 Solution View → 77

Let R 1 and R 2 be two relations defined on &#8477; by a R 1 b &#8660; a b &#8805; 0 and a R 2 b &#8660; a &#8805; b , then

JEE Main 2022 Solution View → 78

Let A = 1 , 2 , 3 , 4 , 5 , 6 , 7 and B = 3 , 6 , 7 , 9 . Then the number of elements in the set C &#8838; A : C &#8745; B &#8800; &#981; is ______

JEE Main 2022 Solution View → 79

Let A = 1 , 2 , 3 , 4 , 5 , 6 , 7 . Define B = T &#8838; A : either 1 &#8713; T or 2 &#8712; T and C = T &#8838; A : T the sum of all the elements of T is a prime number. Then the

JEE Main 2022 Solution View → 80

Let a set A = A 1 &#8746; A 2 &#8746; &#8230; &#8746; A k , where A i &#8745; A j = &#981; for i &#8800; j ; 1 &#8804; i , j &#8804; k . Define the relation R from A to A by R = x

JEE Main 2022 Solution View → 81

Let R 1 = a , b &#8712; N &#215; N : a - b &#8804; 13 and R 2 = a , b &#8712; N &#215; N : a - b &#8800; 13 Then on N :

JEE Main 2022 Solution View → 82

Let R 1 and R 2 be relations on the set 1 , 2 , &#8230; , 50 such that R 1 = p , p n : p is a prime and n &#8805; 0 is an integer and R 2 = p , p n : p is a prime and n = 0 or 1 .

JEE Main 2022 Solution View → 83

Let A = 1 , a 1 , a 2 &#8230; &#8230; a 18 , 77 be a set of integers with 1 &#60; a 1 &#60; a 2 &#60; &#8230; . . &#60; a 18 &#60; 77 . Let the set A + A = x + y : x , y &#8712; A

JEE Main 2022 Solution View → 84

Let A = n &#8712; N : H . C . F . n , 45 = 1 and let B = 2 k : k &#8712; 1 , 2 , &#8230; , 100 . Then the sum of all the elements of A &#8745; B is _____.

JEE Main 2022 Solution View → 85

The sum of all the elements of the set &#945; &#8712; 1 , 2 , &#8230; . . 100 : H C F &#945; , 24 = 1 is

JEE Main 2022 Solution View → 86

Which of the following is not correct for relation R on the set of real numbers?

JEE Main 2021 Solution View → 87

Let Z be the set of all integers, A = ( x , y ) &#8712; Z &#215; Z : ( x &#8722; 2 ) 2 + y 2 &#8804; 4 B = ( x , y ) &#8712; Z &#215; Z : x 2 + y 2 &#8804; 4 and C = ( x , y ) &#87

JEE Main 2021 Solution View → 88

Out of all the patients in a hospital 89 % are found to be suffering from heart ailment and 98 % are suffering from lungs infection. If K % of them are suffering from both ailments

JEE Main 2021 Solution View → 89

Let N be the set of natural numbers and a relation R on N be defined by R = x , y &#8712; N &#215; N : x 3 - 3 x 2 y - x y 2 + 3 y 3 = 0 . Then the relation R is

JEE Main 2021 Solution View → 90

Let A = n &#8712; N &#8739; n 2 &#8804; n + 10 , 000 , B = 3 k + 1 &#8739; k &#8712; N and C = 2 k &#8739; k &#8712; N , then the sum of all the elements of the set A &#8745; B - C

JEE Main 2021 Solution View → 91

Define a relation R over a class of n &#215; n real matrices A and B as " A R B iff there exists a non-singular matrix P such that P A P - 1 = B ". Then which of the following is t

JEE Main 2021 Solution View → 92

In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagrams can justify the above

JEE Main 2021 Solution View → 93

Let A = 2 , 3 , 4 , 5 , &#8230; . , 30 and &#39; &#8771; &#39; be an equivalence relation on A &#215; A , defined by a , b &#8771; c , d , if and only if a d = b c . Then the numbe

JEE Main 2021 Solution View → 94

Let R = P , Q | P and Q are at the same distance from the origin be a relation, then the equivalence class of 1 , - 1 is the set

JEE Main 2021 Solution View → 95

Let A = n &#8712; N : n is a 3 - digit number B = 9 k + 2 : k &#8712; N and C = 9 k + l : k &#8712; N for some l 0 &#60; l &#60; 9 . If the sum of all the elements of the set A &#8

JEE Main 2021 Solution View → 96

Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B , then the value of m &#183; n is___.

JEE Main 2020 Solution View → 97

A survey shows that 73 % of the persons working in an office like coffee, whereas 65 % like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be

JEE Main 2020 Solution View → 98

Let &#8746; i = 1 50 X i = &#8746; i = 1 n Y i = T , where each X i contains 10 elements and each Y i contains 5 elements. If each element of the set T is an element of exactly 20

JEE Main 2020 Solution View → 99

A survey shows that 63 % of the people in a city read newspaper A whereas 76 % read news paper B . If x % of the people read both the newspapers, then a possible value of x can be:

JEE Main 2020 Solution View → 100

Let R 1 and R 2 be two relations defined as follows : R 1 = a , b &#8712; R 2 : a 2 + b 2 &#8712; Q and R 2 = a , b &#8712; R 2 : a 2 + b 2 &#8713; Q , where Q is the set of all ra

JEE Main 2020 Solution View → 101

If R = x , y : x , y &#8712; Z , x 2 + 3 y 2 &#8804; 8 is a relation on the set of integers Z , then the domain of R - 1 is

JEE Main 2020 Solution View → 102

Let X = n &#8712; N : 1 &#8804; n &#8804; 50 . If A = n &#8712; X : &#160; n&#160; i s&#160; a&#160; m u l t i p l e&#160; o f &#160; 2 and B = n &#8712; X : &#160; n&#160; i s&#16

JEE Main 2020 Solution View → 103

If R = x , y | x , y ∈ Z , x 2 + y 2 ≤ 4 is a relation in Z , then domain of R is

NTA Abhyas JEE Main 2020 Solution View → 104

In a certain town 25 % families own a cell phone, 15 % families own a scooter and 65 % families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a

NTA Abhyas JEE Main 2020 Solution View → 105

If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7 , then the number of relations from A to B are

NTA Abhyas JEE Main 2020 Solution View → 106

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

NTA Abhyas JEE Main 2020 Solution View → 107

The relation R is defined in the set 1 , 2 , 3 , 4 , 5 , 6 as R = ( a , b ) : b = a + 1 , then

NTA Abhyas JEE Main 2020 Solution View → 108

The shaded region in the given figure represents

NTA Abhyas JEE Main 2020 Solution View → 109

A relation R is defined from 2 , &#160; 3 , &#160; 4 , &#160; 5 to 3 , &#160; 6 , &#160; 7 , &#160; 10 &#160; by x &#160; R &#160; y &#8658; x is relatively prime to y , then domai

NTA Abhyas JEE Main 2020 Solution View → 110

If A = x : x 2 - 5 x + 6 = 0 , B = 2 , 4 , C = 4 , 5 , then A × B ∩ C is

NTA Abhyas JEE Main 2020 Solution View → 111

Let P be the relation defined on the set of all real numbers such that P = a,&#160;b &#160;:&#160; sec 2 a - tan 2 b = 1 . Then P is

NTA Abhyas JEE Main 2020 Solution View → 112

The number of elements in the set a , b : a 2 + b 2 = 50 ; &#160; a , &#160; b &#8712; Z , where Z is the set of all integers, is

NTA Abhyas JEE Main 2020 Solution View → 113

Let W denotes the words in the English dictionary. If the relation R is given by R = x , y ∈ W × W : the word x a n d y h a v e a t l e a s t o n e l e t t e r i n c o m m o n , th

NTA Abhyas JEE Main 2020 Solution View → 114

Let S be the set of all real numbers. Then, the relation R = a , b : 1 + a b > 0 on S is

NTA Abhyas JEE Main 2020 Solution View → 115

If A = x ∈ R : x < 2 and B = x ∈ R : x - 2 ≥ 3 ; then

NTA Abhyas JEE Main 2020 Solution View → 116

If relations R 1 and R 2 from set A to set B are defined as R 1 = 1 , 2 , 3 , 4 , 5 , 6 and R 2 = 2 , 1 , 4 , 3 , 6 , 5 , then n A × B can be equal to

NTA Abhyas JEE Main 2020 Solution View → 117

If A = x : x = 6 n - 5 n - 1 , n ∈ N and B = x : x = 25 ( n - 1 ) , n ∈ N , then

NTA Abhyas JEE Main 2020 Solution View → 118

If A & B are two sets such that n A × B = 60 & n A = 12 also n A ∩ B = K , then the sum of maximum & minimum possible value of K is

NTA Abhyas JEE Main 2020 Solution View → 119

If the difference between the number of subsets of two sets A and B is 120 , then n A &#215; B is equal to

NTA Abhyas JEE Main 2020 Solution View → 120

If the difference between the number of subsets of the sets A and B is 120 , then choose the incorrect option.

NTA Abhyas JEE Main 2020 Solution View →
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