This question involves a coding pattern based on the alphabetical positions of letters within words. We need to figure out the rule used to assign codes to 'TABLE' and 'CHAIR' and then apply it to find the code for 'SOFA'.
Let's find the position of each letter in the alphabet (A=1, B=2, ..., Z=26) for the word 'TABLE':
Now, let's sum these positions:
Calculation: $20 + 1 + 2 + 12 + 5 = 40$.
The sum of the alphabetical positions (40) matches the given code for 'TABLE'. This suggests the pattern is the sum of the letter positions.
Let's verify this pattern using the word 'CHAIR'. We find the position of each letter:
Summing the positions:
Calculation: $3 + 8 + 1 + 9 + 18 = 39$.
The sum (39) matches the given code for 'CHAIR'. The pattern is confirmed.
Now, we apply the same pattern (sum of alphabetical positions) to the word 'SOFA':
Calculate the sum:
Calculation: $19 + 15 + 6 + 1 = 41$.
Therefore, the code for 'SOFA' is 41.
| Word | Letters | Positions | Sum | Code |
| TABLE | T, A, B, L, E | 20, 1, 2, 12, 5 | $20 + 1 + 2 + 12 + 5$ | 40 |
| CHAIR | C, H, A, I, R | 3, 8, 1, 9, 18 | $3 + 8 + 1 + 9 + 18$ | 39 |
| SOFA | S, O, F, A | 19, 15, 6, 1 | $19 + 15 + 6 + 1$ | 41 |
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