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

{3, 6, 9, . . .}

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{5, 10, 15, 20, . . .}

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{15, 30, 45, . . .}

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None of these

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Solution

The correct option is C ${15, 30, 45, . . .}$
Hence

$A \cap B$ will be a multiple of $15$ .

$= {15, 30, 45, 60...}$

Hence, option 'C' is correct.

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