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If A denotes table of 3 and B denotes table of 6, then find (AUB) and (A∩B) are the number of elements respectively.


1. 15 and 6
2. 17 and 6
3. 6 and 19
4. 9 and 15

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Correct Answer - Option 1 : 15 and 6

Given:

A = table of 3

B = table of 6

Concept used:

AUB = {All elements of A and B}

A∩B = {Common elements of A and B}

Calculation:

A = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30}

B = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60}

AUB = {All elements of A and B, but repeated one time}

AUB = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 36, 42, 48, 54, 60} = 15

 A∩B = {Common elements of A and B}

A∩B = {6, 12, 18, 21, 24, 30} = 6

(AUB) and (A∩B) are the number of elements respectively 15 and 6.

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