JAMB 2012 · UTME · Q9

Sets & Venn diagrams

If $P$ is the set of all prime factors of 30 and $Q$ is the set of all factors of 18 less than 10, find $P \cap Q$ .

Worked solution (try it first)

$30 = 2 \times 3 \times 5$ , so $P = \{2, 3, 5\}$ .
The factors of 18 less than 10 are $Q = \{1, 2, 3, 6, 9\}$ .
Both sets contain 2 and 3, so $P \cap Q = \{2, 3\}$ , option B.

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