Understanding the Coding Language Pattern

This problem involves a coding language where words are transformed into numerical codes based on a specific pattern. We are given two examples: 'ONE' coded as '15-28-15' and 'TWO' coded as '20-46-45'. We need to find the code for 'SIX' using the same pattern.

Let's analyze the given examples to uncover the rule. We should consider the alphabetical position of each letter.

Analyzing the Code for 'ONE'

The word 'ONE' is coded as '15-28-15'. Let's look at the alphabetical positions of the letters O, N, and E.

• O is the 15th letter of the alphabet.
• N is the 14th letter of the alphabet.
• E is the 5th letter of the alphabet.

Comparing these positions with the code '15-28-15', we can observe a potential pattern:

• The first number in the code (15) is the position of the first letter 'O' (15th). It seems like $15 \times 1 = 15$.
• The second number in the code (28) relates to the position of the second letter 'N' (14th). It seems like $14 \times 2 = 28$.
• The third number in the code (15) relates to the position of the third letter 'E' (5th). It seems like $5 \times 3 = 15$.

This suggests the pattern might be multiplying the alphabetical position of the first letter by 1, the second letter by 2, and the third letter by 3. Let's verify this pattern with the second example.

Verifying the Pattern with 'TWO'

The word 'TWO' is coded as '20-46-45'. Let's find the alphabetical positions of T, W, and O.

• T is the 20th letter of the alphabet.
• W is the 23rd letter of the alphabet.
• O is the 15th letter of the alphabet.

Applying the potential pattern (position $\times$ 1, position $\times$ 2, position $\times$ 3):

• For 'T' (1st letter, 20th position): $20 \times 1 = 20$.
• For 'W' (2nd letter, 23rd position): $23 \times 2 = 46$.
• For 'O' (3rd letter, 15th position): $15 \times 3 = 45$.

Combining these results gives '20-46-45', which exactly matches the given code for 'TWO'. This confirms the pattern.

Applying the Pattern to 'SIX'

Now we apply the established pattern to the word 'SIX'. We need the alphabetical positions of S, I, and X.

• S is the 19th letter of the alphabet.
• I is the 9th letter of the alphabet.
• X is the 24th letter of the alphabet.

Using the pattern (position $\times$ 1, position $\times$ 2, position $\times$ 3) for the letters in 'SIX':

• For 'S' (1st letter, 19th position): $19 \times 1 = 19$.
• For 'I' (2nd letter, 9th position): $9 \times 2 = 18$.
• For 'X' (3rd letter, 24th position): $24 \times 3 = 72$.

Combining these values gives the code for 'SIX'.

Code for 'SIX': 19-18-72

Matching with Options

Let's compare our calculated code '19-18-72' with the given options:

The calculated code '19-18-72' matches Option 1.

Revision Table: Code Pattern Analysis

Additional Information: Logical Reasoning in Coding

Problems like this test your ability to identify patterns and rules from given examples. This is a core skill in logical reasoning and verbal ability sections of many exams. Here are some tips for solving such coding-decoding problems:

• Examine Given Examples: Look closely at how the words are coded. Note the changes from letters to numbers or symbols.
• Consider Letter Properties: Think about alphabetical position (forward or backward), vowels/consonants, letter case, etc.
• Look for Relationships: See if there is a mathematical operation (addition, subtraction, multiplication, division) or a positional logic applied to the letters or their positions.
• Test the Pattern: Once you think you've found a pattern, test it against all provided examples to ensure it holds true for every case.
• Apply to the Target Word: Use the verified pattern to code the word you are asked to find.
• Check Options: Compare your result with the given options.

Coding language questions can involve various types of patterns, including letter shifting, opposite letters (like A is opposite Z), numerical values based on position, or a combination of these. Practice with different types of problems helps improve pattern recognition skills.