New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sets and Relations question

2024 · 6 Apr · Shift 1 · Q33

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Sets and Relations
2024 · 6 Apr · Shift 1 · Q33

Sets and Relations question

2024 · 6 Apr · Shift 1 · Q33

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

A=\{n \in[100,700] \cap \mathrm{N}: n

is neither a multiple of 3 nor a multiple of 4

\}

. Then the number of elements in

A

is

A
300
B
310
C
290
D
280

More from Sets and Relations

Let the relations $R_{1}$ and $R_{2}$ on the set $X = {1, 2, 3, \dots, 20}$ be given by $R_{1} = {(x, y) : 2 x - 3 y = 2}$ and $R_{2} = {(x, y) : - 5 x + 4 y = 0}$ . If $M$ and $N$ be the minimum number of elements required to be added in $R_{1}$ and $R_{2}$ ,…2024 · MCQ
Let $A = {1, 2, 3, 4, 5}$ . Let $R$ be a relation on $A$ defined by $x R y$ if and only if $4 x \leq 5 y$ . Let $m$ be the number of elements in $R$ and $n$ be the minimum…2024 · MCQ
Let $A = {2, 3, 6, 8, 9, 11}$ and $B = {1, 4, 5, 10, 15}$ . Let $R$ be a relation on $A \times B$ defined by $(a, b) R (c, d)$ if and only if $3 a d - 7 b c$ is an even integer. Then the relation $R$ is2024 · MCQ
Let $A = {2, 3, 6, 7}$ and $B = {4, 5, 6, 8}$ . Let $R$ be a relation defined on $A \times B$ by $(a_{1}, b_{1}) R (a_{2}, b_{2})$ if and only if $a_{1} + a_{2} = b_{1} + b_{2}$ . Then the number of elements in $R$ is .2024 · Numerical
Let $S = {1, 2, 3, \dots, 10}$ . Suppose $M$ is the set of all the subsets of $S$ , then the relation $R = {(A, B) : A \cap B e q ϕ; A, B \in M}$ is :2024 · MCQ
Let $A$ and $B$ be two finite sets with $m$ and $n$ elements respectively. The total number of subsets of the set $A$ is 56 more than the total number of subsets of $B$ . Then the distance of the point $P (m, n)$ from the point $Q (- 2, - 3)$ is…2024 · MCQ
Let $R$ be a relation on $Z \times Z$ defined by $(a, b) R (c, d)$ if and only if $a d - b c$ is divisible by 5. Then $R$ is2024 · MCQ
If R is the smallest equivalence relation on the set ${1, 2, 3, 4}$ such that ${(1, 2), (1, 3)} \subset R$ , then the number of elements in $R$ is .2024 · MCQ