## Let set A = {x: x is a multiple of 3}, set B = {x: x is a multiple of 5}. Then A ∩ B is given by

- {3, 6, 9, ...}
- {5, 10, 15, 20, ...}
- {15, 30, 45, ....}
- None of the above

### Answer

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For set A
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Multiples of 3 are those numbers which come in table of 3

So, Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, ....

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∴
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Set A = {3, 6, 9, 12, 15, 18, 21, ....}

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For set B
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Multiples of 5 are those numbers which come in table of 5

So, Multiples of 5 = 5, 10, 15, 20, 25, 30 ....

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

Now,

A ∩ B = {15, 30, ... }

So,
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C is the correct answer.
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