If set A = {4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15, 18} and set C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then find A ∩ C.
A
{6, 12, 10}
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B
{4, 6, 8, 10}
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C
{12, 6, 8, 10}
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D
{18 , 8, 10}
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Solution
The correct option is B {4, 6, 8, 10} The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
In the given sets A and C, the elements 4 ,6, 8 and 10 are common, i.e., A ∩ C ={4, 6, 8, 10}.