In the following triads, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one which follows the same logic.
URIC - CRUI - RIUC
KIDS - SIKD - IDKS

The correct option is FADE - EAFD - ADFE.

Let us analyze the positional transformation logic applied to each 4-letter word in the given triads.

Consider a 4-letter word with letter positions labeled as 1, 2, 3, and 4 (i.e., [1, 2, 3, 4]).

First Triad: URIC - CRUI - RIUC

1. URIC → Positions: U(1), R(2), I(3), C(4)

2. CRUI → Formed by rearranging URIC to C(4), R(2), U(1), I(3). So the index pattern from the first word to the second word is [4, 2, 1, 3].

3. RIUC → Formed by rearranging URIC to R(2), I(3), U(1), C(4). So the index pattern from the first word to the third word is [2, 3, 1, 4].

Second Triad: KIDS - SIKD - IDKS

1. KIDS → Positions: K(1), I(2), D(3), S(4)

2. SIKD → Formed by rearranging KIDS to S(4), I(2), K(1), D(3). This follows the index pattern [4, 2, 1, 3].

3. IDKS → Formed by rearranging KIDS to I(2), D(3), K(1), S(4). This follows the index pattern [2, 3, 1, 4].

Now, let us test the given options using the same positional patterns [4, 2, 1, 3] and [2, 3, 1, 4]:

Testing option: FADE - EAFD - ADFE

1. FADE → Positions: F(1), A(2), D(3), E(4)

2. Applying pattern [4, 2, 1, 3]:
Position 4 is E, Position 2 is A, Position 1 is F, Position 3 is D.
This yields EAFD, which matches the second word.

3. Applying pattern [2, 3, 1, 4]:
Position 2 is A, Position 3 is D, Position 1 is F, Position 4 is E.
This yields ADFE, which matches the third word.

Thus, the triad FADE - EAFD - ADFE follows the exact same logic as the given triads.