In the following question, the second word is formed by rearranging the letters of the first word using a specific pattern. Apply the same pattern to the third word.
PLANET : LPAENT :: ORANGE : ?

The correct answer is ROAGNE.

To solve this letter rearrangement analogy, let us analyze the pattern used to transform the first word, PLANET, into the second word, LPAENT.

First, let us assign numbers to the positions of the letters in the word PLANET:
1: P
2: L
3: A
4: N
5: E
6: T

Now, look at the order of these letters in the transformed word LPAENT:
L (Position 2)
P (Position 1)
A (Position 3)
E (Position 5)
N (Position 4)
T (Position 6)

Notice that the transformation rearranges the positions in pairs:
- The first two letters (positions 1 and 2: P, L) are swapped to become L, P (positions 2, 1).
- The third letter (position 3: A) stays in place.
- The fourth and fifth letters (positions 4 and 5: N, E) are swapped to become E, N (positions 5, 4).
- The sixth letter (position 6: T) stays in place.

Thus, the positional transformation pattern is: (1, 2, 3, 4, 5, 6) ⇒ (2, 1, 3, 5, 4, 6).

Now, let us apply this exact same pattern to the word ORANGE:

Original positions of ORANGE:
1: O
2: R
3: A
4: N
5: G
6: E

Applying the pattern (2, 1, 3, 5, 4, 6):
- Swap position 1 and 2 (O, R): R, O
- Keep position 3 (A): A
- Swap position 4 and 5 (N, G): G, N
- Keep position 6 (E): E

Combining these letters gives ROAGNE.