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In the sequence 7 M % K 4 B @ P 2 W & 9 T F # 5 J R $ 6 D N 8, how many pairs of letters are there that have as many elements standing between them in the sequence as there are letters between them in the English alphabet?

Competition practiceAlphanumeric / Series
  • A3
  • B4
  • C5
  • D6

Step-by-Step Solution

Take every pair of letters and set the gap in the sequence against the gap in the alphabet. M (place 2) and K (place 4) are 2 apart in the sequence, and M and K are 2 apart in the alphabet. K (4) and T (13) are 9 apart, and K and T are 9 apart. W (10) and T (13) are 3 apart, as W and T are. F (14) and N (22) are 8 apart, as F and N are. R (18) and N (22) are 4 apart, as R and N are. That is five pairs. Stopping at the pairs that read left to right in alphabetical order only (KT, FN) or overlooking the two short pairs near the ends gives 3 or 4; counting the adjacent pair TF, which is 1 apart in the sequence but 8 apart in the alphabet, pushes the total wrongly to 6.
Answer: C) 5

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