Decoding the Code Pattern

The question asks us to find the coding pattern used for the word MOBILITY becoming NPCJMJUZ and apply it to the word EXAMPLE.

Let's analyze the transformation:

• M is coded as N (M is the 13th letter, N is the 14th)
• O is coded as P (O is the 15th letter, P is the 16th)
• B is coded as C (B is the 2nd letter, C is the 3rd)
• I is coded as J (I is the 9th letter, J is the 10th)
• L is coded as M (L is the 12th letter, M is the 13th)
• I is coded as J (I is the 9th letter, J is the 10th)
• T is coded as U (T is the 20th letter, U is the 21st)
• Y is coded as Z (Y is the 25th letter, Z is the 26th)

The pattern observed is that each letter in the original word is replaced by the next letter in the English alphabet. Mathematically, the shift is represented as:

$Encoded Letter = Original Letter + 1$

Using LaTeX notation: $L_{encoded} = L_{original} + 1$.

Applying the Pattern to EXAMPLE

Now, we apply the same '+1' shift pattern to the word EXAMPLE:

• E + 1 = F
• X + 1 = Y
• A + 1 = B
• M + 1 = N
• P + 1 = Q
• L + 1 = M
• E + 1 = F

Combining these results, EXAMPLE is written as FYBNQMF in this code language.