Understanding the Code Language Pattern

The problem provides a code language where words are converted into numerical values. We are given two examples:

• 'REINER' is coded as '75'.
• 'SARA' is coded as '43'.

We need to find the pattern to apply it to the word 'CHRISTA'. Let's try assigning numerical values to each letter based on its position in the English alphabet (A=1, B=2, ..., Z=26) and see if we can find a relationship.

Analyzing the Coding Pattern for 'REINER' and 'SARA'

First, let's find the sum of the positional values of the letters in 'REINER':

R = 18, E = 5, I = 9, N = 14, E = 5, R = 18

Sum of values for REINER: \begin{text} Sum \end{text} = 18 + 5 + 9 + 14 + 5 + 18 = 69

The coded value for 'REINER' is 75. The difference between the coded value and the sum is 75 - 69 = 6. The number of letters in 'REINER' is 6.

Let's check if adding the number of letters to the sum of positional values gives the coded value:

69 (Sum of values) + 6 (Number of letters) = 75

This matches the given code for 'REINER'.

Now, let's apply the same logic to 'SARA':

S = 19, A = 1, R = 18, A = 1

Sum of values for SARA: \begin{text} Sum \end{text} = 19 + 1 + 18 + 1 = 39

The number of letters in 'SARA' is 4.

Applying the pattern: 39 (Sum of values) + 4 (Number of letters) = 43

This also matches the given code for 'SARA'. The pattern seems to be consistent.

The rule for this code language is: Coded Value = (Sum of the alphabetical positions of all letters) + (Number of letters in the word).

Applying the Pattern to find the Code for 'CHRISTA'

Now, we will apply this pattern to find the code for 'CHRISTA'. First, let's find the alphabetical position value for each letter in 'CHRISTA':

Next, we sum these values:

Sum of values for CHRISTA: \begin{text} Sum \end{text} = 3 + 8 + 18 + 9 + 19 + 20 + 1 = 78

Now, we need to find the number of letters in 'CHRISTA'. There are 7 letters in 'CHRISTA'.

Finally, we apply the pattern: Coded Value = Sum of values + Number of letters

Coded Value for CHRISTA = 78 + 7 = 85

So, 'CHRISTA' will be written as '85' in this code language.

Revision Table: Key Calculations

Additional Information on Coding-Decoding

Coding-decoding questions are common in various aptitude tests. They test your ability to identify patterns and rules. Common types of patterns include:

• Letter Coding: Letters are replaced by other letters based on a shift in position (e.g., A > B, B > C, or A > Z, B > Y).
• Number Coding: Letters are replaced by numbers. This often involves using alphabetical positions (A=1, Z=26) or reverse positions (A=26, Z=1), sums, differences, or other mathematical operations on these values.
• Symbol Coding: Letters or words are represented by symbols.
• Mixed Coding: A combination of letter, number, and symbol coding.
• Word/Message Coding: Words are coded as other words, or sentences are coded using a specific set of rules.

To solve coding-decoding problems, it's essential to:

• Carefully observe the given examples.
• Identify the relationship or pattern between the original word/message and its code.
• Test the identified pattern with all given examples.
• Apply the established pattern to the word/message you need to decode.

Knowing the alphabetical positions of letters quickly can be very helpful.