Identifying the Coding Pattern

The question asks us to find the coding pattern used for 'EXAM' and 'TEST' and apply it to 'ASSESSMENT'. Let's analyze the given examples:

• EXAM is coded as 625214.
• TEST is coded as 2162021.

First, let's find the standard alphabetical positions for the letters in the examples:

• E=5, X=24, A=1, M=13
• T=20, E=5, S=19, T=20

Now, let's compare these positions with the coded numbers. We observe that adding 1 to each letter's position seems to generate the code:

• For EXAM:
  • E (5) becomes $5+1 = 6$
  • X (24) becomes $24+1 = 25$
  • A (1) becomes $1+1 = 2$
  • M (13) becomes $13+1 = 14$
  Concatenating these gives $625214$, which matches the given code.
• For TEST:
  • T (20) becomes $20+1 = 21$
  • E (5) becomes $5+1 = 6$
  • S (19) becomes $19+1 = 20$
  • T (20) becomes $20+1 = 21$
  Concatenating these gives $2162021$, which also matches.

The pattern is confirmed: Convert each letter to its alphabetical position and add 1.

Encoding ASSESSMENT

Applying this pattern to the word ASSESSMENT:

• A (1) $\rightarrow$ $1+1 = 2$
• S (19) $\rightarrow$ $19+1 = 20$
• S (19) $\rightarrow$ $19+1 = 20$
• E (5) $\rightarrow$ $5+1 = 6$
• S (19) $\rightarrow$ $19+1 = 20$
• S (19) $\rightarrow$ $19+1 = 20$
• M (13) $\rightarrow$ $13+1 = 14$
• E (5) $\rightarrow$ $5+1 = 6$
• N (14) $\rightarrow$ $14+1 = 15$
• T (20) $\rightarrow$ $20+1 = 21$

Constructing the Final Code

Concatenate the resulting numbers in order:

$2$20$20$6$20$20$14$6$15$21

The final code for 'ASSESSMENT' is 22020620201461521.