Understanding the Coding Language Pattern

This question asks us to decipher a coding language pattern applied to the word SUNDAY and then apply the same pattern to the word MOTHER.

Let's look at the given example:

• Original word: SUNDAY
• Coded word: DNUAYS

We need to find how the letters in SUNDAY are rearranged to form DNUAYS. Let's assign positions to the letters in the original word:

Now, let's see where these letters appear in the coded word DNUAYS and note their new positions:

By observing which original position moves to which new position, we can determine the rule:

• The letter at original position 4 (D) moves to new position 1.
• The letter at original position 3 (N) moves to new position 2.
• The letter at original position 2 (U) moves to new position 3.
• The letter at original position 5 (A) moves to new position 4.
• The letter at original position 6 (Y) moves to new position 5.
• The letter at original position 1 (S) moves to new position 6.

So, the order of letters in the coded word is determined by taking the letters from the original positions in the sequence: 4th, 3rd, 2nd, 5th, 6th, 1st.

Let's write this positional transformation:

Original positions → New positions

1 → 6

2 → 3

3 → 2

4 → 1

5 → 4

6 → 5

Alternatively, let's look at the sequence of original positions that form the coded word:

New Position 1 gets letter from Original Position 4

New Position 2 gets letter from Original Position 3

New Position 3 gets letter from Original Position 2

New Position 4 gets letter from Original Position 5

New Position 5 gets letter from Original Position 6

New Position 6 gets letter from Original Position 1

The sequence of original positions for the new word is thus: 4, 3, 2, 5, 6, 1.

Applying the Coding Pattern to MOTHER

Now we apply the same pattern (taking letters from original positions 4, 3, 2, 5, 6, 1) to the word MOTHER.

First, assign positions to the letters in MOTHER:

Now, let's pick the letters based on the derived pattern (4th, 3rd, 2nd, 5th, 6th, 1st original positions):

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

Combining these letters in sequence gives us the coded word: HTOERM.

Conclusion

Following the coding pattern where the original positions 4, 3, 2, 5, 6, 1 form the sequence of letters in the coded word, the word MOTHER is coded as HTOERM.

Revision Table: Coding Language Pattern

Additional Information: Types of Letter Coding

Letter coding is a common topic in verbal reasoning. Understanding different types of patterns can help solve such problems quickly. Some common patterns include:

• Position Change: Letters change their positions within the word based on a specific rule (as seen in this problem).
• Alphabetical Shift: Each letter is shifted a fixed number of places forward or backward in the alphabet (e.g., A → B, B → C, or A → Z, B → Y).
• Reverse Alphabetical Order: Letters might correspond to their reverse position in the alphabet (e.g., A → Z, B → Y).
• Direct Letter Coding: Specific letters are replaced by specific other letters or symbols directly, without a simple positional or alphabetical shift rule.
• Mixed Patterns: A combination of the above rules might be used.

To solve coding-decoding problems, always carefully compare the original word and the coded word to identify the rule or pattern being used. Look for positional changes, letter shifts, or direct substitutions.