Understanding the Alphabetical Pattern Logic

The question presents a word transformation puzzle where a specific alphabetical pattern is applied to letters. We need to decipher this pattern using the first pair (DREAM: GRDBM) and then apply it to the second word (MAGIC) to find the missing word.

Analyzing the First Word Pair: DREAM → GRDBM

Let's analyze the transformation of each letter in "DREAM" to its corresponding letter in "GRDBM". We can look at the shift in the alphabetical position for each letter.

• D to G: The position of D is 4, and the position of G is 7. The shift is $7 - 4 = +3$.
• R to R: The position of R is 18, and the position of R is 18. The shift is $18 - 18 = +0$.
• E to D: The position of E is 5, and the position of D is 4. The shift is $4 - 5 = -1$.
• A to B: The position of A is 1, and the position of B is 2. The shift is $2 - 1 = +1$.
• M to M: The position of M is 13, and the position of M is 13. The shift is $13 - 13 = +0$.

The observed pattern of shifts is: +3, +0, -1, +1, +0.

Applying the Pattern to the Second Word: MAGIC

Now, we apply the identified pattern (+3, +0, -1, +1, +0) to the letters of the word "MAGIC":

• M (13th letter): Apply +3 shift. $13 + 3 = 16$. The 16th letter is P.
• A (1st letter): Apply +0 shift. $1 + 0 = 1$. The 1st letter is A.
• G (7th letter): Apply -1 shift. $7 - 1 = 6$. The 6th letter is F.
• I (9th letter): Apply +1 shift. $9 + 1 = 10$. The 10th letter is J.
• C (3rd letter): Apply +0 shift. $3 + 0 = 3$. The 3rd letter is C.

Combining these letters, we get the transformed word: PAFJC.

Determining the Correct Option

The derived word "PAFJC" matches option 3.