If $A=\{2,4\}, \quad B=\{3,4,5\}$, then $(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{AUB})=$

If $A=\{2,4\}, \quad B=\{3,4,5\}$, then $(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{AUB})=$
  1. $\{(3,2),(3,4),(4,4),(5,4)\}$
  2. $\{(2,3),(2,4),(2,5)\}$
  3. $\{(4,2),(4,3),(4,4),(4,5)\}$
  4. $\{(4,3),(4,4),(4,5)\}$

Solution

$\mathrm{A} \cap \mathrm{B}=\{4\}$ $\mathrm{A} \cup \mathrm{B}=\{2,3,4,5\}$ Hence $(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{A} \cup \mathrm{B})$ $=\{(4,2),(4,3),(4,4),(4,5)\}$

Asked in: MHT CET 2020 (12 Oct Shift 1)

Practice more Sets and Relations questions on Aicharya