Q. Let $A = \{ x:x\$is a multiple of 3$\}$ and $B = \{ x:x\ is\ a\ multiple\ of\ 5\}$. Then, $A \cap B$is given by

A) {3, 6, 9, ...…}
B) {5, 10, 15, 20, .......}
C) {15, 30, 45, ......}
D) None of these
Explanation

(c)
$A \cap B = \left\{ x:x\ a\ multiple\ of\ 3 \right\} and\ \{ x:x\ is\ \ a\ multiple\ of\ 5\}$
$= \{ x:x\ is\ a\ multiple\ of\ 15\}$
$\ \ \ \ \ \ \ \ \ \ \ \ = \{ 15,\ 30,\ 45,\ldots\ldots\ldots.\}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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