How many such pairs of letters are there in the word ‘CREATIVE’, each of which has as many letters between them in the word as in the English alphabetical series (in both forward and backward directions)?
Correct Answer :
Three
Solution :
The correct option is Three.
To find the number of pairs of letters in the word ‘CREATIVE’ that have as many letters between them in the word as in the English alphabetical series (in both forward and backward directions), let us first write down the alphabetical position of each letter in the word:
Word: C R E A T I V E
Positions in English Alphabet:
C = 3
R = 18
E = 5
A = 1
T = 20
I = 9
V = 22
E = 5
Now, let us analyze the pairs in both forward and backward directions:
1. Forward Direction (Left to Right):
- Pair 1: (C, E)
In the word, C is at position 1 and E is at position 3. There is 1 letter (R) between them.
In the alphabetical series (C, D, E), there is 1 letter (D) between C and E.
Thus, (C, E) forms a valid pair.
- Pair 2: (A, E)
In the word, A is at position 4 and E is at position 8. There are 3 letters (T, I, V) between them.
In the alphabetical series (A, B, C, D, E), there are 3 letters (B, C, D) between A and E.
Thus, (A, E) forms a valid pair.
2. Backward Direction (Right to Left):
- Pair 3: (E, C)
Looking backward from E at position 3 to C at position 1, there is 1 letter (R) between them.
In the alphabetical series, there is 1 letter (D) between E and C.
Thus, (E, C) forms a valid pair.
Therefore, there are a total of 3 such pairs of letters in the word ‘CREATIVE’.
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