A coding scheme assigns each letter its alphabetical position (A=1, B=2, ..., Z=26) and the coded value of a word is the sum of those positions. For example, I=9 and SLIP=56. Using the same method, what is the value of FALL?

Introduction / Context:
This question uses alphabet-position coding where each letter is replaced by its position in the alphabet and the word value is obtained by adding these positions. The examples confirm the mapping and the summation rule.

Given Data / Assumptions:

• I = 9 implies alphabetical positions are used.
• SLIP = 56 is given as an example.
• Find FALL using the same letter-position sum rule.

Concept / Approach:
Compute the alphabetical position for each letter in FALL and add them. Use SLIP to verify the interpretation before applying it to the required word.

Step-by-Step Solution:
Verify SLIP: S=19, L=12, I=9, P=16 Sum = 19 + 12 + 9 + 16 = 56 (matches). Now compute FALL: F = 6 A = 1 L = 12 L = 12 Sum = 6 + 1 + 12 + 12 = 31

Verification / Alternative check:
Since L appears twice, you can do 12*2 = 24, then add F and A: 24 + 6 + 1 = 31. This confirms the same result quickly.

Why Other Options Are Wrong:
51: comes from using reverse coding or adding extra offsets. 41: often from misreading F as 16 or A as 11. 21: may come from counting letters or using A=0. 29: could come from treating one L incorrectly.

Common Pitfalls:
Using A=0, confusing positions (L=11 instead of 12), or applying reverse alphabet values can cause wrong sums.

Final Answer:
31