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Q.

Let $A = {x : x$ is a prime factor of $240}$
$B = {x : x$ is the sum of any two prime factors of $240} .$
Then

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a

$5 \notin A \cap B$

b

$8 \in A \cap B$

c

$7 \in A \cap B$

d

$8 \in A \cup B$

answer is D.

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Detailed Solution

$240 = 2 \times 3 \times 5 \times 8$

So $A = {2, 3, 5}, B = {5, 7, 8}$

Clearly $8 \in A \cup B$

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