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Q.

If A is the set of all integral multiples of 3 and B is the set of all integral multiples of 5, then AB  is the set of all integral multiples of

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a

53

b

g.c.d.(3,5)

c

3+5

d

l.c.m.(3,5)

answer is D.

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Detailed Solution

A={3,9,12,15,18,21,....30,...45,....}

B={5,10,15,20,25,30,....,45,......}

AB={15,30,45,.....}

AB  is the set of all integral multiples of 15

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If A is the set of all integral multiples of 3 and B is the set of all integral multiples of 5, then A∩B  is the set of all integral multiples of