If in a certain code language "FILE" equals to 16 and "REASON" equals to 36, then what is the value of "FARMERS"?  Ops:   A. 49    B. 54    C. 39    D. 35

1. Break Down the Problem

To find the value of "FARMERS" based on the code language provided, we need to identify a pattern or rule from the examples of "FILE" and "REASON" and apply it to "FARMERS".

2. Relevant Concepts

Let's analyze the given words and their corresponding values:

• "FILE" = 16
• "REASON" = 36

A common method in such problems is to relate the position of each letter in the alphabet and apply some operations to find the sum or value.

3. Analysis and Detail

First, we calculate the positions of the letters in the alphabet:

• F = 6
• I = 9
• L = 12
• E = 5
  Total for "FILE": $6 + 9 + 12 + 5 = 32$
  This does not equal 16, suggesting we might need to manipulate the sum further.

Now let's analyze "REASON":

• R = 18
• E = 5
• A = 1
• S = 19
• O = 15
• N = 14
  Total for "REASON": $18 + 5 + 1 + 19 + 15 + 14 = 72$
  This does not equal 36 directly either.

Finding a consistent rule seems necessary. Observing the results, notice that in both cases the actual sum for each word is halved:

• "FILE": $32 / 2 = 16$
• "REASON": $72 / 2 = 36$

4. Verify and Summarize

With the identified pattern of halving the sum of the alphabetic positions, let's apply this to "FARMERS":

• F = 6
• A = 1
• R = 18
• M = 13
• E = 5
• R = 18
• S = 19
  Total for "FARMERS":
  $6 + 1 + 18 + 13 + 5 + 18 + 19 = 80$
  Applying the same operation:
  Value of "FARMERS" = $80 / 2 = 40$

However, this value is not one of the provided options, which suggests we might have an error in the halving assumption.

Final Answer

As per the provided code operation, the calculated value of "FARMERS" is 40, which does not match any options given. Upon further reflection, if the operation needs any additional transformation or if the option set presents altered logic, consideration outside the traditional patterns might need exploration or a reevaluation of the options. Thus, based on simplest interpretations, it is 40.