Understanding the Coding Language Pattern

This question involves a coding language where words are converted into numbers based on a specific rule or pattern. We are given two examples, 'FROST' coded as '156' and 'CANDLE' coded as '78'. Our task is to identify this pattern and then apply it to find the code for 'SCREAM'.

Analyzing the Given Examples

Let's look at the relationship between the words and their numerical codes. A common approach in such problems is to consider the alphabetical positions of the letters in the words.

Let's assign numerical values to each letter based on its position in the English alphabet (A=1, B=2, C=3, ..., Z=26).

Example 1: FROST

• F is the 6th letter.
• R is the 18th letter.
• O is the 15th letter.
• S is the 19th letter.
• T is the 20th letter.

Let's sum the alphabetical positions of the letters in 'FROST':

\( \text{Sum} = 6 + 18 + 15 + 19 + 20 = 78 \)

The given code for 'FROST' is 156. We can see that 156 is double the sum we calculated:

\( 78 \times 2 = 156 \)

This suggests a potential pattern: the code is twice the sum of the alphabetical positions of the letters.

Example 2: CANDLE

Let's test this pattern with the second example, 'CANDLE'.

• C is the 3rd letter.
• A is the 1st letter.
• N is the 14th letter.
• D is the 4th letter.
• L is the 12th letter.
• E is the 5th letter.

Let's sum the alphabetical positions of the letters in 'CANDLE':

\( \text{Sum} = 3 + 1 + 14 + 4 + 12 + 5 = 39 \)

The given code for 'CANDLE' is 78. Let's see if the pattern holds:

\( 39 \times 2 = 78 \)

The pattern holds true for 'CANDLE' as well. The code is indeed twice the sum of the alphabetical positions of the letters.

Identifying the Pattern

Based on the analysis of 'FROST' and 'CANDLE', the pattern in this coding language is:

Code for a word = (Sum of alphabetical positions of its letters) \(\times\) 2

Applying the Pattern to SCREAM

Now, let's apply this pattern to find the code for the word 'SCREAM'.

First, find the alphabetical position of each letter in 'SCREAM':

• S is the 19th letter.
• C is the 3rd letter.
• R is the 18th letter.
• E is the 5th letter.
• A is the 1st letter.
• M is the 13th letter.

Next, calculate the sum of these positions:

\( \text{Sum for SCREAM} = 19 + 3 + 18 + 5 + 1 + 13 = 59 \)

Finally, apply the identified pattern (multiply the sum by 2):

\( \text{Code for SCREAM} = 59 \times 2 = 118 \)

Conclusion

Following the established coding pattern, the word 'SCREAM' is coded as 118.

Let's check the given options:

• 115
• 89
• 118
• 59

Our calculated code, 118, matches one of the options.

Revision Table: Key Concepts

Additional Information: Types of Coding Patterns

Coding language problems in reasoning tests can use various patterns. Besides using alphabetical positions, other common methods include:

• Reverse Alphabetical Position: Assigning Z=1, Y=2, ..., A=26.
• Sum of Positions: Simply adding the alphabetical positions.
• Difference or Product of Positions: Using other mathematical operations.
• Consonants/Vowels Count: The code might be based on the number of consonants or vowels.
• Specific Letter Operations: The code might be based on the position of only the first, last, or middle letter.
• Combining Positions and Operations: As seen in this problem (sum and then multiplication).
• Skipping Letters: The code might involve counting letters by skipping a fixed number.

To solve such problems, it's important to systematically test different common patterns using the given examples until the correct rule is found.