In the word ‘BONAFIDE’, how many pairs of letters have the same number of letters between them (both forward and backward direction) as in the alphabetical series?
Correct Answer :
More than Four
Solution :
The correct answer is More than Four.
To find the pairs of letters in the word BONAFIDE that have the same number of letters between them as in the English alphabetical series (in both forward and backward directions), let us analyze the positions of each letter:
1. B is at position 1 (alphabetical value: 2)
2. O is at position 2 (alphabetical value: 15)
3. N is at position 3 (alphabetical value: 14)
4. A is at position 4 (alphabetical value: 1)
5. F is at position 5 (alphabetical value: 6)
6. I is at position 6 (alphabetical value: 9)
7. D is at position 7 (alphabetical value: 4)
8. E is at position 8 (alphabetical value: 5)
Now, let us identify the qualifying pairs by comparing the distance between the letters in the word to their difference in the alphabetical order:
1. N and O:
- Letters between them in alphabetical series: None (N, O)
- Letters between them in 'BONOFIDE': None (adjacent letters)
- Pair: (N, O)
2. D and E:
- Letters between them in alphabetical series: None (D, E)
- Letters between them in 'BONAFIDE': None (adjacent letters)
- Pair: (D, E)
3. D and F:
- Letters between them in alphabetical series: 1 letter (E)
- Letters between them in 'BONAFIDE': 1 letter (I)
- Pair: (D, F)
4. A and D:
- Letters between them in alphabetical series: 2 letters (B, C)
- Letters between them in 'BONAFIDE': 2 letters (F, I)
- Pair: (A, D)
5. A and E:
- Letters between them in alphabetical series: 3 letters (B, C, D)
- Letters between them in 'BONAFIDE': 3 letters (F, I, D)
- Pair: (A, E)
6. B and F:
- Letters between them in alphabetical series: 3 letters (C, D, E)
- Letters between them in 'BONAFIDE': 3 letters (O, N, A)
- Pair: (B, F)
Since we have found 6 such pairs, which is greater than four, the correct option is More than Four.
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