This question asks us to identify the relationship between a given pair of letters, MOB and ORG, and then apply the same relationship to another set of letters, GRP, to find the missing term. This type of problem is known as a letter analogy question, where we need to find the underlying pattern or rule governing the transformation of letters based on their alphabetical positions.

Letter Analogy Pattern Understanding

To solve this letter analogy problem, we first need to analyze the transformation from MOB to ORG. We will look at the position of each letter in the English alphabet.

MOB to ORG Transformation Analysis

Let's examine the shift in alphabetical positions from MOB to ORG:

• First Letter Transformation (M to O): M is the 13^th letter, and O is the 15^th letter. The change in position is \(15 - 13 = +2\).
• Second Letter Transformation (O to R): O is the 15^th letter, and R is the 18^th letter. The change in position is \(18 - 15 = +3\).
• Third Letter Transformation (B to G): B is the 2^nd letter, and G is the 7^th letter. The change in position is \(7 - 2 = +5\).

So, the consistent pattern of shifts in letter positions is +2, +3, +5 for the first, second, and third letters respectively.

GRP Pattern Application

Now, we will apply this same +2, +3, +5 pattern to the letters in GRP.

• First Letter (G): G is the 7^th letter. Applying the +2 shift: \(7 + 2 = 9\). The 9^th letter in the alphabet is I.
• Second Letter (R): R is the 18^th letter. Applying the +3 shift: \(18 + 3 = 21\). The 21^st letter in the alphabet is U.
• Third Letter (P): P is the 16^th letter. Applying the +5 shift: \(16 + 5 = 21\). The 21^st letter in the alphabet is U.

Therefore, applying the derived pattern to GRP results in the letters IUU.

Analogy Answer Derivation

Based on our analysis of the pattern from MOB to ORG, applying the same transformation logic (+2, +3, +5) to GRP yields IUU. This completes the letter analogy.