Question Details

How many such pairs of letters exist in the word ‘HANDLING’, each of which has as many letters between them in the word (in both forward and backward directions) as in the English alphabetical series?

Options

A

Four

B

One

C

More than Four

D

Two

E

Three

Show Answer

Correct Answer :

Option C

More than Four

Solution :

The correct option is More than Four.

To find the pairs of letters in the word HANDLING that have as many letters between them in the word (in both forward and backward directions) as in the English alphabetical series, we first determine the position of each letter in the word and its corresponding numerical rank in the English alphabet.

Letters in HANDLING and their positions in the word:
1: H (8th letter of the alphabet)
2: A (1st letter of the alphabet)
3: N (14th letter of the alphabet)
4: D (4th letter of the alphabet)
5: L (12th letter of the alphabet)
6: I (9th letter of the alphabet)
7: N (14th letter of the alphabet)
8: G (7th letter of the alphabet)

Now, let us evaluate the pairs of letters:

1. H (Position 1) and L (Position 5):
Letters between them in the word: A, N, D (3 letters)
Alphabetical difference: 12-8=4 (3 letters: I, J, K)
This forms a valid pair.

2. H (Position 1) and N (Position 7):
Letters between them in the word: A, N, D, L, I (5 letters)
Alphabetical difference: 14-8=6 (5 letters: I, J, K, L, M)
This forms a valid pair.

3. A (Position 2) and G (Position 8):
Letters between them in the word: N, D, L, I, N (5 letters)
Alphabetical difference: 7-1=6 (5 letters: B, C, D, E, F)
This forms a valid pair.

4. N (Position 3) and L (Position 5):
Letters between them in the word: D (1 letter)
Alphabetical difference: 14-12=2 (1 letter: M)
This forms a valid pair.

5. L (Position 5) and N (Position 7):
Letters between them in the word: I (1 letter)
Alphabetical difference: 14-12=2 (1 letter: M)
This forms a valid pair.

6. I (Position 6) and G (Position 8):
Letters between them in the word: N (1 letter)
Alphabetical difference: 9-7=2 (1 letter: H)
This forms a valid pair.

Since we have identified 6 such pairs, the total number of pairs is More than Four.

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