2025 PHS PRELIMS P1 Q20

\(\mathcal E=\{x\in\mathbb Z:1\leq x\leq15\}\), \(P=\{\text{prime numbers}\hspace{0.15em}\}\), and \(Q=\{\text{multiples of}\hspace{0.5em}3\}\). Some elements are shown.

1. Complete the Venn diagram with all missing elements.[2]
2. List the elements in \(P'\cap Q\).[1]
3. Use one of (arnothing,in,
   otin,subset,
   otsubset) to complete each statement.
   1. \(P\cap Q\ne\ \ldots\)[1]
   2. \(\{2,3,7\}\ \ldots\ P\)[1]
   3. \(2\ \ldots\ Q\)[1]