New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sets and Relations question

2022 · 25 Jul · Shift 2 · Q37

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

PYQ Library
JEE Main
Mathematics
Sets and Relations
2022 · 25 Jul · Shift 2 · Q37

Sets and Relations question

2022 · 25 Jul · Shift 2 · Q37

JEE MainMathematicsSets and RelationsNumerical+4 / −1

Let

A=\{1,2,3,4,5,6,7\}

. Define

B=\{T \subseteq A

: either

1 otin T

or

2 \in T\}

and

C=\{T \subseteq A: T

the sum of all the elements of

T

is a prime number

\}

. Then the number of elements in the set

B \cup C

is

\underline{\hspace{2cm}}

.

Numerical answer

More from Sets and Relations

Let $A = {1, 2, 3, 4, 5, 6, 7}$ and $B = {3, 6, 7, 9}$ . Then the number of elements in the set ${C \subseteq A : C \cap B e q ϕ}$ is .2022 · Numerical
Let A = {n $\in$ N : H.C.F. (n, 45) = 1} and Let B = {2k : k $\in$ {1, 2, ......., 100}}. Then the sum of all the elements of A $\cap$ B is .2022 · Numerical
Let $A = i = 1 \sum 10 j = 1 \sum 10 min {i, j}$ and $B = i = 1 \sum 10 j = 1 \sum 10 max {i, j}$ . Then A + B is equal to .2022 · Numerical
Let $R_{1}$ and $R_{2}$ be two relations defined on $R$ by $a R_{1} b \Leftrightarrow ab \geq 0$ and $a R_{2} b \Leftrightarrow a \geq b$ Then,2022 · MCQ
For $α \in N$ , consider a relation $R$ on $N$ given by $R = {(x, y) : 3 x + α y$ is a multiple of 7 $}$ . The relation $R$ is an equivalence relation if and only if :2022 · MCQ
Let R1 and R2 be relations on the set {1, 2, ......., 50} such that R1 = {(p, pn) : p is a prime and n $\geq$ 0 is an integer} and R2 = {(p, pn) : p is a prime and n = 0 or 1}. Then, the number of elements in R1 $-$ R2 is …2022 · Numerical
Let R1 = {(a, b) $\in$ N $\times$ N : |a $-$ b| $\leq$ 13} and R2 = {(a, b) $\in$ N $\times$ N : |a $-$ b| $e$ 13}. Then on N :2022 · MCQ
Let R be a relation from the set ${1, 2, 3, \dots, 60}$ to itself such that $R = {(a, b) : b = pq$ , where $p, q ⩾ 3$ are prime numbers}. Then, the number of elements in R is :2022 · MCQ