WB JEE 2023 | Sets and Relations Question 13 | Mathematics

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

Let A, B, C are subsets of set X. Then consider the validity of the following set theoretic statement:

A $$\cup$$ (B \ C) = (A $$\cup$$ B) \ (A $$\cup$$ C)

(A \ B) \ C = A \ (B $$\cup$$ C)

(A $$\cup$$ B) \ A = A \ B

A \ C = B \ C

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

Let X be a nonvoid set. If $$\rho_1$$ and $$\rho_2$$ be the transitive relations on X, then

($$\circ$$ denotes the composition of relations)

$$\rho_1~\circ~\rho_2$$ is transitive relation

$$\rho_1~\circ~\rho_2$$ is not transitive relation

$$\rho_1~\circ~\rho_2$$ is equivalence relation

$$\rho_1~\circ~\rho_2$$ is not any relation on X

WB JEE 2023

MCQ (Single Correct Answer)

-0.5

Let $$\rho$$ be a relation defined on set of natural numbers N, as $$\rho = \{ (x,y) \in N \times N:2x + y = 4\} $$. Then domain A and range B are

$$A \subset \{ x \in N:1 \le x \le 20\} $$ and $$B \subset \{ y \in N:1 \le y \le 39\} $$

$$A = \{ x \in N:1 \le x \le 15\} $$ and $$B = \{ y \in N:1 \le y \le 30\} $$

$$A \equiv N,B = Q$$

$$A = Q,B = Q$$

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

A is a set containing n elements. P and Q are two subsets of A. Then the number of ways of choosing P and Q so that P $$\cap$$ Q = $$\varphi $$ is

$${2^{2n\_2n}}{C_n}$$

$${2^n}$$

$${3^n} - 1$$

$${3^n}$$

WB JEE Subjects