# JEE Main & Advanced Mathematics Set Theory and Relations Question Bank

### done Critical Thinking

• A) $X\subseteq Y$

B) $Y\subseteq X$

C) $X=Y$

D) None of these

• A) ${{N}_{7}}$

B) ${{N}_{12}}$

C) ${{N}_{3}}$

D) ${{N}_{4}}$

• A) 3

B) 6

C) 9

D) 18

• A) One point

B) Three points

C) Two points

D) Four points

• A) $\bar{A}\cap B$

B) $A\cap \bar{B}$

C) $\bar{A}\cap \bar{B}$

D) $\overline{A\cap B}$

• A) {(2, 4), (3, 4)}

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

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

D) {(2,2), (3,3), (4,4), (5,5)}

• A) At least 30

B) At most 20

C) Exactly 25

D) None of these

• A) 18

B) 6

C) 4

D) 0

• A) {(1,2), (3,1), (1,3), (1,5)}

B) {(1, 2), (3, 1), (2, 1)}

C) {(1, 2), (5, 1), (3, 1)}

D) None of these

• A) Reflexive and Symmetric

B) Symmetric only

C) Transitive only

D) Anti-symmetric only

• A) Symmetric only

B) Equivalence relation

C) Reflexive only

D) None of these

• A) Reflexive and symmetric

B) Transitive and symmetric

C) Equivalence

D) Reflexive, transitive but not symmetric

• A) R and S are transitive $\Rightarrow \text{ }R\text{ }\cup \text{ }S$ is transitive

B) R and S are transitive $\Rightarrow \text{ }R\text{ }\cap \text{ }S$ is transitive

C) R and S are symmetric $\Rightarrow \text{ }R\text{ }\cup \text{ }S$ is symmetric

D) R and S are reflexive $\Rightarrow \text{ }R\text{ }\cap \text{ }S$ is reflexive

• A) {(1, 1), (4, 4), (4, 7), (7, 4), (7, 7), (3, 3)}

B) {(1, 1), (4, 4), (7, 7), (3, 3)}

C) {(1, 5), (1, 6), (3, 6)}

D) None of these