Understanding Coding Language Patterns

This question asks us to decipher a specific coding pattern used to convert words into numerical sequences. We are given two examples: 'DESIGN' is coded as 8-10-38-18-14-28, and 'FOREST' is coded as 12-30-36-10-38-40. Our task is to apply the same pattern to find the code for the word 'PLAYER'.

Analyzing the First Example: DESIGN

Let's look at the word 'DESIGN' and its corresponding code 8-10-38-18-14-28. We can compare the letters in the word with the numbers in the code. A common approach in such problems is to consider the alphabetical position of each letter.

The alphabetical positions are:

• D is the 4th letter
• E is the 5th letter
• S is the 19th letter
• I is the 9th letter
• G is the 7th letter
• N is the 14th letter

Let's see if there's a relationship between the letter positions and the coded numbers:

• D (4) maps to 8. Here, $4 \times 2 = 8$.
• E (5) maps to 10. Here, $5 \times 2 = 10$.
• S (19) maps to 38. Here, $19 \times 2 = 38$.
• I (9) maps to 18. Here, $9 \times 2 = 18$.
• G (7) maps to 14. Here, $7 \times 2 = 14$.
• N (14) maps to 28. Here, $14 \times 2 = 28$.

It appears that the pattern is to multiply the alphabetical position of each letter by 2.

Verifying the Pattern with the Second Example: FOREST

Let's check if this pattern holds true for the word 'FOREST' coded as 12-30-36-10-38-40.

The alphabetical positions are:

• F is the 6th letter
• O is the 15th letter
• R is the 18th letter
• E is the 5th letter
• S is the 19th letter
• T is the 20th letter

Applying the suspected pattern (alphabetical position $\times 2$):

• F (6): $6 \times 2 = 12$ (Matches the code)
• O (15): $15 \times 2 = 30$ (Matches the code)
• R (18): $18 \times 2 = 36$ (Matches the code)
• E (5): $5 \times 2 = 10$ (Matches the code)
• S (19): $19 \times 2 = 38$ (Matches the code)
• T (20): $20 \times 2 = 40$ (Matches the code)

The pattern (alphabetical position $\times 2$) is consistent for both 'DESIGN' and 'FOREST'.

Applying the Pattern to PLAYER

Now we will apply the established pattern to the word 'PLAYER' to find its code.

First, identify the alphabetical position of each letter in 'PLAYER':

• P is the 16th letter
• L is the 12th letter
• A is the 1st letter
• Y is the 25th letter
• E is the 5th letter
• R is the 18th letter

Next, apply the rule: multiply each letter's alphabetical position by 2.

• P (16): $16 \times 2 = 32$
• L (12): $12 \times 2 = 24$
• A (1): $1 \times 2 = 2$
• Y (25): $25 \times 2 = 50$
• E (5): $5 \times 2 = 10$
• R (18): $18 \times 2 = 36$

The coded sequence for 'PLAYER' is 32-24-2-50-10-36.

Comparing with Options

Let's compare our calculated code with the given options:

• Option 1: 32-24-2-50-10-36
• Option 2: 32-26-2-50-12-38
• Option 3: 36-24-2-50-10-34
• Option 4: 32-22-2-50-12-36

Our calculated code 32-24-2-50-10-36 exactly matches Option 1.

Therefore, the correct code for 'PLAYER' is 32-24-2-50-10-36.

Revision Table: Coding Language Summary

Additional Information: Coding and Decoding Logic

Coding and decoding questions are common in reasoning tests. They involve finding a hidden rule or pattern that transforms one set of characters (like words) into another set (like numbers or other words). Here are some common types of patterns:

• Alphabetical Position: Using the 1-26 position of letters (A=1, B=2, ... Z=26).
• Reverse Alphabetical Position: Using positions from the end (Z=1, Y=2, ... A=26).
• Adding/Subtracting Constants: Adding or subtracting a fixed number to the alphabetical position.
• Multiplication/Division: Multiplying or dividing the position by a constant, as seen in this problem (Position $\times$ 2).
• Vowel/Consonant Rules: Different rules for vowels and consonants.
• Interchanging Letters: Swapping adjacent letters or letters at specific positions.
• Combination of Rules: A mix of two or more simple rules.

To solve these questions, carefully observe the given examples, try to find a logical connection, and test your hypothesis with all provided examples before applying it to the word you need to code or decode. Looking at letter positions and common mathematical operations is often the first step.