Question

How many such pairs of letters are there in the word 'ABILITY' (in both forward and backward directions) each of which have as many letters between them in the word as there are in the English alphabetical order?

• A. 1
• B. 3
• C. 2
• D. 4

Answer 1

Answer:

A. 1

Correct Answer : Option B (3).

• Step-by-step idea (ABILITY)

• We need letter pairs in the word ABILITY such that:

  • Take two letters (say positions i < j).

  • Count the number of letters between them = j − i − 1.

  • This count must equal the difference of their positions in English alphabet.

• Alphabet positions:
  A=1, B=2, C=3, …, Y=25, Z=26

• Word: A B I L I T Y
  Positions (1-indexed):
  1:A, 2:B, 3:I, 4:L, 5:I, 6:T, 7:Y