Discussion
In the sequence of tiles shown below, the missing tile indicated by the question mark should be
- A.
- B.
- C.
- D.
Answer: B
The missing tile is (B), the tile with five dots (four corners and the centre).
Count the dots in the given tiles: 2, 3, ?, 7, 11. These are consecutive prime numbers, and the prime between 3 and 7 is 5. The fourth tile holds 3 + 1 + 3 = 7 dots and the fifth 4 + 3 + 4 = 11, which confirms the pattern.
Tile (A) has 4 dots, (C) has 6 and (D) has 8, and none of 4, 6 or 8 is prime, so only (B) continues the sequence of primes 2, 3, 5, 7, 11.
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