Decoding the Coding Language Pattern

The problem asks us to identify the coding pattern used to transform 'TABLE' into 'ELEAT' and 'SWING' into 'GNLWS', and then apply the same pattern to code 'FRAME'. This is a type of coding-decoding question that requires analyzing the relationship between the original word and its coded form.

Analyzing the Coding Pattern Examples

Let's look at the two examples provided:

Example 1: TABLE → ELEAT

Original word: T A B L E

Coded word: E L E A T

Let's number the positions of the letters in the original word from 1 to 5:

Now let's see which original letter appears at each position in the coded word:

From this, it appears the coded word's letters come from the original word's positions in the order: 5th, 4th, 5th, 2nd, 1st. Notice the 3rd coded letter is the same as the 1st coded letter, both coming from the 5th original letter ('E'). However, this seems unusual for a standard pattern.

Example 2: SWING → GNLWS

Original word: S W I N G

Coded word:   G N L W S

Numbering the original word:

Let's see which original letter appears at each position in the coded word:

Here, the 1st coded letter is from original position 5 (G), the 2nd from original position 4 (N), the 4th from original position 2 (W), and the 5th from original position 1 (S). The pattern 5, 4, ?, 2, 1 seems to hold for most positions.

However, the 3rd coded letter is 'L', but the original word 'SWING' does not contain the letter 'L'. This suggests the 3rd letter follows a different rule, likely a substitution rather than a simple positional shift.

Identifying the Complete Coding Rule

Let's focus on the 3rd letter transformation:

• In TABLE, the 3rd letter is 'B'. In ELEAT, the 3rd letter is 'E'. The shift is B → E.
• In SWING, the 3rd letter is 'I'. In GNLWS, the 3rd letter is 'L'. The shift is I → L.

Let's check the alphabetical positions of these letters:

• B is the 2nd letter. E is the 5th letter. Shift: $5 - 2 = +3$.
• I is the 9th letter. L is the 12th letter. Shift: $12 - 9 = +3$.

This confirms that the 3rd letter of the original word is shifted 3 places forward in the alphabet to get the 3rd letter of the coded word.

The complete coding pattern is:

• The 1st coded letter is the 5th letter of the original word.
• The 2nd coded letter is the 4th letter of the original word.
• The 3rd coded letter is the 3rd letter of the original word, shifted 3 places forward in the alphabet.
• The 4th coded letter is the 2nd letter of the original word.
• The 5th coded letter is the 1st letter of the original word.

Applying the Pattern to FRAME

Now let's apply this pattern to the word 'FRAME'.

Original word: F R A M E

Positions:         1 2 3 4 5

Let's determine each letter of the coded word:

• 1st Coded Letter: 5th letter of FRAME is E.
• 2nd Coded Letter: 4th letter of FRAME is M.
• 3rd Coded Letter: 3rd letter of FRAME is A. Shift A (+3) in the alphabet. A is the 1st letter, $1 + 3 = 4$. The 4th letter is D. So, A → D.
• 4th Coded Letter: 2nd letter of FRAME is R.
• 5th Coded Letter: 1st letter of FRAME is F.

Putting the coded letters together in order: E, M, D, R, F.

The coded word for 'FRAME' is EMDRF.

Comparing with Options

Let's compare our result EMDRF with the given options:

1. EMERF - Incorrect (3rd letter E instead of D)
2. EMDRF - Correct
3. ERMDF - Incorrect (Letters are in a different order)
4. MEDFR - Incorrect (Letters are in a different order)

Our derived coded word EMDRF matches option 2.

Revision Table: Coding Pattern Summary

Additional Information: Types of Coding Patterns

Coding and decoding questions in logical reasoning often involve different types of patterns. Understanding these can help solve such problems efficiently. Some common patterns include:

• Letter Shifting: Each letter is shifted a fixed number of positions forward or backward in the alphabet (like the +3 shift seen in the 3rd letter of this problem).
• Direct Letter Substitution: Each letter is replaced by a specific letter or symbol based on a predefined code (e.g., A=Z, B=Y, etc.).
• Positional Rearrangement (Transposition): The letters of the original word are rearranged according to a specific rule based on their positions (like the 5, 4, 2, 1 order seen in this problem).
• Mixed Patterns: A combination of the above patterns, where different parts of the word or different letters follow different rules (as seen in this problem, combining positional rearrangement with letter shifting).
• Number/Symbol Coding: Words are coded using numbers or symbols based on letter positions, values, or other rules.

Solving these problems requires careful observation, pattern recognition, and systematic testing of possible rules based on the given examples.