Understanding the Coding Language Logic

The question asks us to decode how the word PENCIL is transformed into PNEICL in a specific coding language. By understanding this transformation rule, we can apply it to the word MOTHER to find its coded form.

Let's examine the letters in PENCIL and their positions:

Now let's look at the letters in the coded word PNEICL and see which original position they correspond to:

By comparing the original positions to the coded positions, we can see a pattern in the coding language:

• The letter at position 1 stays at position 1.
• The letters at positions 2 and 3 swap places.
• The letters at positions 4 and 5 swap places.
• The letter at position 6 stays at position 6.

Applying the Coding Language to MOTHER

Now, we apply this exact same coding language rule to the word MOTHER. First, let's identify the letters and their positions in MOTHER:

Using the pattern derived from PENCIL > PNEICL:

1. The letter at position 1 (M) stays at position 1.
2. The letters at positions 2 (O) and 3 (T) swap, resulting in T at position 2 and O at position 3.
3. The letters at positions 4 (H) and 5 (E) swap, resulting in E at position 4 and H at position 5.
4. The letter at position 6 (R) stays at position 6.

Let's build the coded word based on these steps:

• Position 1: M (from original position 1)
• Position 2: T (from original position 3)
• Position 3: O (from original position 2)
• Position 4: E (from original position 5)
• Position 5: H (from original position 4)
• Position 6: R (from original position 6)

Putting these letters together in the new sequence (1, 3, 2, 5, 4, 6) gives us M T O E H R.

Verifying the Coded Word MOTHER

The coded word for MOTHER based on the pattern is MTOEHR. We can compare this with the given options.

• Option 1: OMHTRE
• Option 2: MTOREH
• Option 3: MHTORE
• Option 4: MTOEHR

Our calculated coded word, MTOEHR, matches Option 4.

Revision Table: Coding Language Pattern

Additional Information on Coding and Decoding

Coding and decoding questions in reasoning often involve identifying a specific pattern or rule applied to transform a word or series of letters/numbers into another. Common patterns include:

• Letter Shifting: Each letter is replaced by a letter a fixed number of positions away in the alphabet (e.g., A becomes C, B becomes D).
• Position Swapping: Letters within the word change their positions based on a specific sequence, like the one observed in this problem (swapping pairs, reversing sections).
• Letter Replacement: Each letter is replaced by another specific letter, symbol, or number according to a defined code chart.
• Mathematical Operations: For number coding, specific arithmetic operations might be applied to the digits.
• Combination of Patterns: Sometimes, a combination of these methods is used.

To solve such problems, carefully observe the given example, break it down letter by letter or number by number, identify the transformation rule, and then apply that rule consistently to the word or number you need to code or decode.