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Find the missing letter.

A, D, I, P, ?

  • A.X
  • B.Y
  • C.Z
  • D.W

Answer: B

The missing letter is Y.

Replace the letters by their positions in the alphabet: A = 1, D = 4, I = 9, P = 16. These are the perfect squares \(1^2, 2^2, 3^2, 4^2\), so the next term is \(5^2 = 25\), the letter Y.

The gaps confirm it: 3, 5, 7 and then 9 letters, the odd numbers in turn, and \(16 + 9 = 25\). X (24) and W (23) fall short of 25, and Z (26) overshoots.

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