The question asks us to decode the pattern used to code the word CRAFT as $5-21-3-9-22$ and then apply this pattern to code the word ORDER.
First, let's determine the standard position of each letter in the English alphabet:
Now, let's find the alphabetical positions for the letters in CRAFT:
Let's compare these positions with the given code ($5-21-3-9-22$):
| Letter | Alphabetical Position | Given Code | Difference | Operation |
|---|---|---|---|---|
| C | 3 | 5 | $5 - 3 = 2$ | $3 + 2 = 5$ |
| R | 18 | 21 | $21 - 18 = 3$ | $18 + 3 = 21$ |
| A | 1 | 3 | $3 - 1 = 2$ | $1 + 2 = 3$ |
| F | 6 | 9 | $9 - 6 = 3$ | $6 + 3 = 9$ |
| T | 20 | 22 | $22 - 20 = 2$ | $20 + 2 = 22$ |
We can observe a pattern in the operation applied:
The pattern is to add 2 to the alphabetical position for letters at odd positions in the word (1st, 3rd, 5th, etc.) and add 3 to the alphabetical position for letters at even positions in the word (2nd, 4th, 6th, etc.).
Now, we apply this pattern to the word ORDER.
First, find the alphabetical positions of the letters in ORDER:
Apply the pattern (+2 for odd positions, +3 for even positions):
Combining these results, the code for ORDER is $17-21-6-8-20$.
| Letter | Position in Word | Alphabetical Position | Operation | Resulting Code |
|---|---|---|---|---|
| O | 1st (Odd) | 15 | $+ 2$ | $15 + 2 = 17$ |
| R | 2nd (Even) | 18 | $+ 3$ | $18 + 3 = 21$ |
| D | 3rd (Odd) | 4 | $+ 2$ | $4 + 2 = 6$ |
| E | 4th (Even) | 5 | $+ 3$ | $5 + 3 = 8$ |
| R | 5th (Odd) | 18 | $+ 2$ | $18 + 2 = 20$ |
This result corresponds to option 4.