WAEC 2024 · Paper 1 · Q2

Sets & Venn diagrams

Given that $P = \{p : 1 < p < 20\}$ , where $p$ is an integer, and $R = \{r : 0 \le r \le 25$ , where $r$ is a multiple of $4\}$ , find $P \cap R$ .

Worked solution (try it first)

$P$ is the whole numbers strictly between 1 and 20: $\{2, 3, \dots, 19\}$ .
$R$ is the multiples of 4 from 0 to 25: $\{0, 4, 8, 12, 16, 20, 24\}$ .
The common elements are $\{4, 8, 12, 16\}$ , option B.
(0 and 20 are not in $P$ .)

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