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Question

If A={xx is a multiple of 3} and B={xx is a multiple of 5}, then AB=

A
ACB
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B
ABC
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C
ACBC
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D
(AB)C
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Solution

The correct option is B ABC
AB=AAB
AB={x:x is a multiple of 15}
Let S be the universal set.
Then AS=A
AAB=ASAB=A(SB)=ABC

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