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Select the option that can replace the question mark (?) in the following series. F, AA, BA, CF, EF, ?

  • A.IA
  • B.HA
  • C.EB
  • D.DB

Answer: B

The next term is HA.

The first letters of the terms after the first form the Fibonacci numbers 1, 2, 3, 5 and 8, which are the letters A, B, C, E and H. The second letters follow a pair-wise pattern: A, A, then F, F, then A, A. So the sixth term has first letter H and second letter A.

IA, EB and DB break either the Fibonacci pattern of the first letters or the pairing of the second letters.

Another way to see it is to look at the pairs of letters one by one: AA, BA, CF, EF, then HA. The first letters A, B, C, E, H are the 1st, 2nd, 3rd, 5th and 8th letters, the Fibonacci numbers, so the next is H. The second letters repeat in pairs, so after two Fs come two As, and the next second letter is A.

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