In the word ‘ORGANIZE’ , how many pairs of the letters have the same number of letters between them (both forward and backward direction) in the word as in the alphabet?

The correct option is One.

To find the pairs of letters in the word ORGANIZE that have the same number of 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 alphabet:

O = 15
R = 18
G = 7
A = 1
N = 14
I = 9
Z = 26
E = 5

Now, let us check the counts in both forward and backward directions:

1. Forward Direction:
- From O (15): P(16), Q(17), R(18), S(19), T(20), U(21), V(22) - No match.
- From R (18): S(19), T(20), U(21), V(22), W(23), X(24) - No match.
- From G (7): H(8), I(9), J(10), K(11), L(12) - No match.
- From A (1): B(2), C(3), D(4), E(5) - Match found! A and E: A is 1st, E is 5th, with 3 letters between them in both the word (N, I, Z) and the alphabet (B, C, D).
- From N (14): O(15), P(16), Q(17) - No match.
- From I (9): J(10), K(11) - No match.
- From Z (26): No letters remaining.
- From E (5): End of word.

2. Backward Direction:
- From E (5): F(6), G(7), H(8), I(9), J(10), K(11), L(12) - No match.
- From Z (26): No letters higher than 26.
- From I (9): J(10), K(11), L(12), M(13), N(14) - No match.
- From N (14): O(15), P(16), Q(17), R(18) - No match.
- From A (1): B(2), C(3), D(4) - No match.
- From G (7): H(8), I(9) - No match.
- From R (18): S(19) - No match.
- From O (15): End of word.

Thus, there is only 1 pair of letters (A and E) that fulfills the given condition.