Determine the number of letter pairs in the provided word that satisfy the alphabetical distance condition.
How many pairs of letters are there in the word ‘CREATIVE’, each of which has as many letters between them as in the English alphabetical series (both forward and backward direction)?
Correct Answer :
Three
Solution :
The correct option is Three.
To find the pairs of letters in the word CREATIVE that have as many letters between them as in the English alphabetical series (in both forward and backward directions), let us examine the position of each letter in the English alphabet:
• C = 3
• R = 18
• E = 5
• A = 1
• T = 20
• I = 9
• V = 22
• E = 5
Now, let us check for pairs in both directions:
1. Forward Direction:
• From C (3): Counting forward (4, 5, 6, 7, 8, 9, 10), we find E (5) at the 3rd position in the word. The pair is C - E (C, R, E; in the alphabet: C, D, E with 1 letter between them).
• From C (3): Counting forward to I (9) at the 6th position in the word (3, 4, 5, 6, 7, 8, 9). The pair is C - I (C, R, E, A, T, I; in the alphabet: C, D, E, F, G, H, I with 5 letters between them).
• From E (5) (the first 'E'): Counting forward to I (9) at the 6th position in the word (5, 6, 7, 8, 9). The pair is E - I (E, A, T, I; in the alphabet: E, F, G, H, I with 3 letters between them).
• Checking all other combinations forward yields no further pairs.
2. Backward Direction:
• Checking all combinations from right to left yields no additional pairs matching the alphabetical distance.
Therefore, there are a total of 3 such letter pairs: C - E, C - I, and E - I.
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