1.Set Theory
medium

If $A = \{x : x$ is a multiple of $4\}$ and $B = \{x : x$ is a multiple of $6\}$ then $A \cap B$ consists of all multiples of

A

$16$

B

$12$

C

$8$

D

$4$

Solution

(b) $A = \{ 4,\,8,\,12,\,16,\,20,\,24,\,…..\} $

$B = \{ 6,\,12,\,18,\,24,\,30,\,….\} $

$\therefore A \cap B = \{ 12,\,24,\,….\}  =    \{x : x$ is a multiple of $12\}.$

Standard 11
Mathematics

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