Set Theory Questions (9)

Let $R = \{(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\}$ on set $\{1,2,3\}$. Which properties does $R$ satisfy?

Let $A=\{n\in\mathbb{N}: n^2\leq n+15000\}$, $B=\{5k+4: k\in\mathbb{N}\}$, $C=\{3k: k\in\mathbb{N}\}$. If sum of elements of $A\cap(B-C)=N$, number of proper divisors of $N$ is

Let $R = \{(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\}$ on set $\{1,2,3\}$. Which properties does $R$ satisfy?

Let $R = \{(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\}$ on set $\{1,2,3\}$. Which properties does $R$ satisfy?

Let $A = \{x : x^2 \leq x + 20000;\ x \in \mathbb{N}\}$, $B = \{x = 3k+2;\ k \in \mathbb{N}\}$, $C = \{x = 4k;\ k \in \mathbb{N}\}$. The sum of the elements of the set $A \cap (B - C)$ is

Let $A = \{x : x^2 \leq x + 20000;\ x \in \mathbb{N}\}$, $B = \{x = 3k+2;\ k \in \mathbb{N}\}$, $C = \{x = 4k;\ k \in \mathbb{N}\}$. The sum of the elements of the set $A \cap (B - C)$ is

Let $A=\{n\in\mathbb{N}: n^2\leq n+15000\}$, $B=\{5k+4: k\in\mathbb{N}\}$, $C=\{3k: k\in\mathbb{N}\}$. If sum of elements of $A\cap(B-C)=N$, number of proper divisors of $N$ is

Let $A = \{x : x^2 \leq x + 20000;\ x \in \mathbb{N}\}$, $B = \{x = 3k+2;\ k \in \mathbb{N}\}$, $C = \{x = 4k;\ k \in \mathbb{N}\}$. The sum of the elements of the set $A \cap (B - C)$ is

Let $A=\{n\in\mathbb{N}: n^2\leq n+15000\}$, $B=\{5k+4: k\in\mathbb{N}\}$, $C=\{3k: k\in\mathbb{N}\}$. If sum of elements of $A\cap(B-C)=N$, number of proper divisors of $N$ is