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Intersection of Sets

Let A=x : x i...

Question

Let $A = {x : x is a natural number and a factor of 18}$ and
$B = {x : x is a natural number and less than 6}$ .
If $A \cap B = {a, b, c}$ , then the value of $a + b + c$ is

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Solution

$A = {1, 2, 3, 6, 9, 18}$
$B = {1, 2, 3, 4, 5}$
$\Rightarrow A \cap B = {1, 2, 3} ∴ a + b + c = 1 + 2 + 3 = 6$

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Similar questions

A = {x : x is a natural number and a factor of 18}

B = {x : x is a natural number and less than 6}

A \cap B = {a, b, c}

a + b + c

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Find the intersection of each of the following pairs of sets :

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(ii) A = {a, e, i, o, u} and B = {a, b, c}

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