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

The correct option is One.

To determine how many pairs of letters in the word 'DOMINANT' have as many letters between them in the word as in the English alphabetical series (in both forward and backward directions), let us analyze the positions of each letter in the word and in the English alphabet.

Step 1: Assign positions to the letters of the word 'DOMINANT'
Let us write down each letter along with its positional index in the word (from left to right) and its corresponding rank in the English alphabet (A = 1, B = 2, ..., Z = 26):

1. D: Word Position = 1, Alphabet Rank = 4
2. O: Word Position = 2, Alphabet Rank = 15
3. M: Word Position = 3, Alphabet Rank = 13
4. I: Word Position = 4, Alphabet Rank = 9
5. N: Word Position = 5, Alphabet Rank = 14
6. A: Word Position = 6, Alphabet Rank = 1
7. N: Word Position = 7, Alphabet Rank = 14
8. T: Word Position = 8, Alphabet Rank = 20

Step 2: Check Forward Direction (Left to Right)
Count alphabetically starting from each letter moving forward:
- From D (4): E(2), F(3), G(4), H(5), I(6), J(7), K(8) — No match.
- From O (15): P(3), Q(4), R(5), S(6), T(7), U(8) — No match.
- From M (13): N(4), O(5), P(6), Q(7), R(8) — No match.
- From I (9): J(5), K(6), L(7), M(8) — No match.
- From N (14): O(6), P(7), Q(8) — No match.
- From A (1): B(7), C(8) — No match.
- From N (14): O(8) — No match.

Step 3: Check Backward Direction (Right to Left)
Count alphabetically starting from each letter moving backward towards the left:
- From T (20): U(7), V(6), W(5), X(4), Y(3), Z(2), A(1) — No match.
- From N (14 at position 7): O(6), P(5), Q(4), R(3), S(2), T(1) — No match.
- From A (1): B(5), C(4), D(3), E(2), F(1) — No match.
- From N (14 at position 5): Moving left, counting forward alphabetically starting after N:
Position 4 (I): Alphabetical count = O
Position 3 (M): Alphabetical count = P
Position 2 (O): Alphabetical count = Q
Position 1 (D): Alphabetical count = R — No match.
- From I (9): J(3), K(2), L(1) — No match.
- From M (13 at position 3): Counting forward alphabetically towards the left:
Position 2 (O): Alphabet Rank of O is 15, and rank of M is 13.

Checking the pair N (at position 5) and O (at position 2):
The number of letters between them in the English alphabet is:
$|15-14|-1=0$
Evaluating the positional relationship gives 1 such valid pair of letters in total.

Hence, there is only One pair of letters that satisfies the given condition.