Let A = {0,1,2,3,4,5} and R be... |JEE Main 2025

JEE MAIN 2025

08-04-25 S2

Question

Let $A=\{0,1,2,3,4,5\}$. Let $R$ be a relation on $A$ defined by $(x, y) \in R$ if and only if $\max \{x, y\} \in\{3,4\}$. Then among the statements
$\left(\mathrm{S}_1\right)$ : The number of elements in $R$ is 18 , and
$\left(\mathrm{S}_2\right)$ : The relation $R$ is symmetric but neither reflexive nor transitive

Select the correct option:

only $\left(\mathrm{S}_1\right)$ is true

both are false

only $\left(S_2\right)$ is true

both are true

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution