Step 1: Tabulate the dot counts of each tile. Tile 1 = 2, Tile 2 = 3, Tile 3 = missing, Tile 4 = 7, Tile 5 = 11. These counts come directly from counting the dots printed in each square, so $2, 3, ?, 7, 11$ is the number sequence to analyse.
Step 2: Insert each answer choice in turn and test the resulting five numbers, instead of guessing the rule first. Option (A) gives $2, 3, 4, 7, 11$. Option (B) gives $2, 3, 5, 7, 11$. Option (C) gives $2, 3, 6, 7, 11$. Option (D) gives $2, 3, 8, 7, 11$, and this one is not even increasing, since 8 is greater than 7, so option (D) can be ruled out immediately.
Step 3: Check each remaining sequence against the rule "all terms are prime numbers." A number is prime only if its sole positive divisors are 1 and itself. In $2, 3, 4, 7, 11$: 4 is divisible by 1, 2 and 4, so 4 is not prime, and option (A) breaks the pattern. In $2, 3, 6, 7, 11$: 6 is divisible by 1, 2, 3 and 6, so 6 is not prime, and option (C) breaks the pattern. In $2, 3, 5, 7, 11$: each of 2, 3, 5, 7 and 11 has exactly two divisors (1 and itself), so all five numbers are prime.
Step 4: Conclude. Only option (B), which inserts 5, keeps the sequence as five consecutive prime numbers with no gaps and no non-prime numbers, and its dot pattern (2 dots, 1 dot, 2 dots stacked, the classic five arrangement) matches the shape shown in option (B).
