Q71 / 150 · MHT CET 2020 (12 Oct Shift 1) · Mathematics
If $A=\{2,4\}, \quad B=\{3,4,5\}$, then $(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{AUB})=$
- A$\{(3,2),(3,4),(4,4),(5,4)\}$
- B$\{(2,3),(2,4),(2,5)\}$
- Correct answerC$\{(4,2),(4,3),(4,4),(4,5)\}$
- D$\{(4,3),(4,4),(4,5)\}$
Solution
$\mathrm{A} \cap \mathrm{B}=\{4\}$
$\mathrm{A} \cup \mathrm{B}=\{2,3,4,5\}$
Hence
$(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{A} \cup \mathrm{B})$
$=\{(4,2),(4,3),(4,4),(4,5)\}$
Hence, the correct answer is option: 'C'.