In each query below, a specific code rearranges the letter positions of a given word.

Determine the rule used for the first pair and apply it to find the missing term in the second pair.

PLANET : ALPTEN :: FLIGHT : ?

The correct option is ILFTHG.

To solve this letter rearrangement analogy, let us first analyze the relationship and pattern between the letters of the first pair, PLANET : ALPTEN.

Let us write down the position of each letter in the word PLANET from left to right (positions 1 to 6):

1 = P
2 = L
3 = A
4 = N
5 = E
6 = T

Now, let us examine how these letters are rearranged to form the coded word ALPTEN:

Position 1 of ALPTEN is 'A', which came from position 3 of PLANET.
Position 2 of ALPTEN is 'L', which came from position 2 of PLANET.
Position 3 of ALPTEN is 'P', which came from position 1 of PLANET.
Position 4 of ALPTEN is 'T', which came from position 6 of PLANET.
Position 5 of ALPTEN is 'E', which came from position 5 of PLANET.
Position 6 of ALPTEN is 'N', which came from position 4 of PLANET.

So, the original position order (1-2-3-4-5-6) is transformed into the new position order: (3-2-1-6-5-4).

Notice that this is equivalent to dividing the 6-letter word into two halves of 3 letters each and reversing the order of the letters in each 3-letter block:

First half: P-L-A (positions 1, 2, 3) becomes A-L-P (positions 3, 2, 1).
Second half: N-E-T (positions 4, 5, 6) becomes T-E-N (positions 6, 5, 4).

Now, let us apply this exact same rule (3-2-1-6-5-4) to the second word, FLIGHT:

Label the letters of FLIGHT with positions 1 through 6:

1 = F
2 = L
3 = I
4 = G
5 = H
6 = T

Now rearrange the letters according to the rule (3-2-1-6-5-4):

Position 1 gets letter from old position 3 = I
Position 2 gets letter from old position 2 = L
Position 3 gets letter from old position 1 = F
Position 4 gets letter from old position 6 = T
Position 5 gets letter from old position 5 = H
Position 6 gets letter from old position 4 = G

Combining these letters gives the final missing term: ILFTHG.