Understanding the Coding Language Logic

The problem provides a coding language where words are converted into numerical codes. We are given two examples: 'CAR' is coded as '66' and 'PLOY' is coded as '272'. We need to find the code for 'CLASS'. To do this, we must first decipher the rule or logic used in this coding language.

Analyzing the Given Examples

Let's examine the relationship between the letters in the words and their corresponding codes. A common approach in such problems is to use the alphabetical position of each letter (A=1, B=2, C=3, ..., Z=26).

Example 1: CAR

Let's find the alphabetical values for each letter in 'CAR':

• C is the 3rd letter. Value = 3
• A is the 1st letter. Value = 1
• R is the 18th letter. Value = 18

Now, let's sum these values:

\( \text{Sum for CAR} = 3 + 1 + 18 = 22 \)

The code for 'CAR' is given as 66. How can we get 66 from 22? Let's consider the number of letters in the word 'CAR', which is 3. If we multiply the sum by the number of letters:

\( 22 \times 3 = 66 \)

This matches the given code for 'CAR'.

Example 2: PLOY

Let's test this logic with the second example, 'PLOY'. First, find the alphabetical values:

• P is the 16th letter. Value = 16
• L is the 12th letter. Value = 12
• O is the 15th letter. Value = 15
• Y is the 25th letter. Value = 25

Now, let's sum these values:

\( \text{Sum for PLOY} = 16 + 12 + 15 + 25 = 68 \)

The code for 'PLOY' is given as 272. The number of letters in 'PLOY' is 4. If we apply the same logic (Sum \(\times\) Number of letters):

\( 68 \times 4 = 272 \)

This also matches the given code for 'PLOY'. The logic seems consistent.

Applying the Coding Logic to CLASS

The logic appears to be: Code = (Sum of alphabetical values of letters) \(\times\) (Number of letters in the word).

Now, let's apply this logic to the word 'CLASS'.

First, find the alphabetical values for each letter in 'CLASS':

• C is the 3rd letter. Value = 3
• L is the 12th letter. Value = 12
• A is the 1st letter. Value = 1
• S is the 19th letter. Value = 19
• S is the 19th letter. Value = 19

Next, sum these values:

\( \text{Sum for CLASS} = 3 + 12 + 1 + 19 + 19 = 54 \)

The number of letters in 'CLASS' is 5.

Finally, apply the coding logic:

\( \text{Code for CLASS} = \text{Sum} \times \text{Number of letters} \)

\( \text{Code for CLASS} = 54 \times 5 \)

\( 54 \times 5 = 270 \)

So, 'CLASS' is coded as 270 in this language.

Revision Table: Coding Language Rules

Additional Information: Alphabetical Coding Logic

Letter coding is a common topic in reasoning tests. The logic can vary greatly. Some common patterns include:

• Using alphabetical position (A=1, B=26 for reverse, etc.).
• Summing alphabetical positions.
• Multiplying alphabetical positions.
• Adding/subtracting a constant value to the sum or position.
• Multiplying the sum by the number of letters.
• Using the number of vowels or consonants.
• Combinations of the above.

Solving these problems requires careful observation of the given examples to identify the specific rule being applied.