Understanding the Letter Coding Pattern

This question involves a letter coding pattern where the letters of a word are rearranged to form a code. We are given two examples of words and their corresponding codes: TEACHER is coded as CAHEETR, and STUDENT is coded as DUETNST. We need to find the code for the word SUCCESS based on the same pattern.

Analyzing the First Example: TEACHER to CAHEETR

Let's write the original word and its positions, and the coded word and observe the arrangement of letters.

Original Word: T E A C H E R

Positions:      1 2 3 4 5 6 7

Coded Word:   C A H E E T R

Now, let's find out which original position each letter in the coded word comes from:

• The 1st letter in the code is C, which is the 4th letter in TEACHER.
• The 2nd letter in the code is A, which is the 3rd letter in TEACHER.
• The 3rd letter in the code is H, which is the 5th letter in TEACHER.
• The 4th letter in the code is E, which is the 6th letter in TEACHER.
• The 5th letter in the code is E, which is the 2nd letter in TEACHER.
• The 6th letter in the code is T, which is the 1st letter in TEACHER.
• The 7th letter in the code is R, which is the 7th letter in TEACHER.

So, the letters from the original positions (4, 3, 5, 6, 2, 1, 7) are used to form the coded word in sequential order.

Analyzing the Second Example: STUDENT to DUETNST

Let's apply the same analysis to the second example:

Original Word: S T U D E N T

Positions:       1 2 3 4 5 6 7

Coded Word:   D U E T N S T

Let's find out which original position each letter in the coded word comes from:

• The 1st letter in the code is D, which is the 4th letter in STUDENT.
• The 2nd letter in the code is U, which is the 3rd letter in STUDENT.
• The 3rd letter in the code is E, which is the 5th letter in STUDENT.
• The 4th letter in the code is T, which is the 7th letter in STUDENT.
• The 5th letter in the code is N, which is the 6th letter in STUDENT.
• The 6th letter in the code is S, which is the 1st letter in STUDENT.
• The 7th letter in the code is T, which is the 2nd letter in STUDENT.

The original positions used to form the coded word in this case are (4, 3, 5, 7, 6, 1, 2).

Identifying the Coding Pattern Rule

Let's compare the sequences of original positions used to form the coded words:

We can observe that the source positions for the 1st, 2nd, 3rd, and 6th letters of the coded word are consistent across both examples: 4, 3, 5, and 1 respectively.

• Code Position 1 <- Original Position 4
• Code Position 2 <- Original Position 3
• Code Position 3 <- Original Position 5
• Code Position 6 <- Original Position 1

The source positions for the 4th, 5th, and 7th letters of the coded word vary. For TEACHER, they are (6, 2, 7), and for STUDENT, they are (7, 6, 2). These are different permutations of the original positions (2, 6, 7).

Applying the Pattern to SUCCESS

Now, let's apply the consistent part of the pattern to the word SUCCESS:

Original Word: S U C C E S S

Positions:       1 2 3 4 5 6 7

• Code Position 1 gets the letter from Original Position 4: C
• Code Position 2 gets the letter from Original Position 3: C
• Code Position 3 gets the letter from Original Position 5: E
• Code Position 6 gets the letter from Original Position 1: S

So, the partial code for SUCCESS is C C E _ _ S _.

The letters for code positions 4, 5, and 7 must come from the remaining original positions: 2, 6, and 7. The letters at these positions in SUCCESS are U (from pos 2), S (from pos 6), and S (from pos 7). These three letters (U, S, S) must be placed in code positions 4, 5, and 7 in some order.

Checking the Options

Let's look at the provided options and see which one fits the partial code C C E _ _ S _ and uses the letters U, S, S for the remaining positions:

• Option 1: UCSECSS - Does not start with CCE.
• Option 2: SCUSCES - Does not start with CCE.
• Option 3: CCEUSSS - Starts with CCE. The letters at positions 4, 5, 7 are U, S, S. These are exactly the letters from original positions 2, 6, 7 of SUCCESS. This option fits the pattern.
• Option 4: CECSUSS - Does not start with CCE (starts with CEC).

Option 3, CCEUSSS, is the only option that matches the fixed part of the pattern and uses the letters U, S, S for the remaining positions.

Deriving the Complete Pattern for SUCCESS

Based on Option 3 (CCEUSSS), let's determine the source positions for the letters at code positions 4, 5, and 7:

Coded Word:   C C E U S S S

Positions:       1 2 3 4 5 6 7

Original Word: S U C C E S S

Positions:       1 2 3 4 5 6 7

• The letter at Code Position 4 is U, which is from Original Position 2.
• The letter at Code Position 5 is S, which is from Original Position 6.
• The letter at Code Position 7 is S, which is from Original Position 7.

So, for SUCCESS, the source positions for code positions 4, 5, 7 are (2, 6, 7).

The complete positional pattern used for SUCCESS is (4, 3, 5, 2, 6, 1, 7).

Let's verify this pattern for SUCCESS:

• Code Pos 1 <- Orig Pos 4 (C)
• Code Pos 2 <- Orig Pos 3 (C)
• Code Pos 3 <- Orig Pos 5 (E)
• Code Pos 4 <- Orig Pos 2 (U)
• Code Pos 5 <- Orig Pos 6 (S)
• Code Pos 6 <- Orig Pos 1 (S)
• Code Pos 7 <- Orig Pos 7 (S)

Combining these letters gives CCEUSSS, which matches Option 3.

The coding pattern is a specific rearrangement of the letters based on their original positions in the word. While the mapping for some positions is consistent (4, 3, 5, 1 mapping to 1, 2, 3, 6), the mapping for other positions (2, 6, 7 mapping to 4, 5, 7) follows a pattern that is different for each word provided as an example, but consistently involves a permutation of original positions 2, 6, and 7.

The code for SUCCESS is CCEUSSS.

Revision Table: Coding Patterns

Additional Information: Types of Letter Coding

Letter coding is a common type of verbal reasoning question. It involves understanding the rule by which a word is transformed into a code and applying that rule to another word. There are various types of letter coding rules:

• Positional Change: Letters are simply rearranged within the word based on a specific pattern of their original positions, as seen in this problem.
• Alphabetical Shift: Each letter is shifted forward or backward in the alphabet by a fixed number of positions (e.g., A becomes B, B becomes C).
• Replacement: Each letter is replaced by another specific letter or symbol based on a rule (e.g., vowels replaced by symbols, consonants by next letter).
• Reverse Order: The entire word or parts of the word are written in reverse order.
• Mixed Patterns: Combinations of the above rules can be used.

Solving coding-decoding questions requires careful observation of the given examples to identify the underlying rule or pattern. Looking at the number of letters, the types of letters (vowels/consonants), and their positions are key steps in breaking the code.