This question is a word analogy problem where we need to find the relationship between the first pair of words and apply the same relationship to the third word to find the fourth word.

Understanding the Relationship: REACHED : RAHDECE

Let's analyze the transformation from REACHED to RAHDECE. Both words have 7 letters. We can assign positions to the letters in the original word and see where they appear in the transformed word.

Now, let's see which original position maps to which new position:

• The letter at original position 1 (R) is at new position 1.
• The letter at original position 2 (E) is at new position 5.
• The letter at original position 3 (A) is at new position 2.
• The letter at original position 4 (C) is at new position 6.
• The letter at original position 5 (H) is at new position 3.
• The letter at original position 6 (E) is at new position 7.
• The letter at original position 7 (D) is at new position 4.

The mapping of original positions to new positions is: 1 → 1, 2 → 5, 3 → 2, 4 → 6, 5 → 3, 6 → 7, 7 → 4.

Let's try to find a pattern in this mapping. Notice the original positions that go to the first four new positions (1, 2, 3, 4) are 1, 3, 5, 7. These are the odd positions. The original positions that go to the last three new positions (5, 6, 7) are 2, 4, 6. These are the even positions.

The pattern seems to be:

1. Take the letters from the original word at odd positions (1st, 3rd, 5th, 7th, ...) in their original order.
2. Take the letters from the original word at even positions (2nd, 4th, 6th, 8th, ...) in their original order.
3. Combine the sequence from step 1 followed by the sequence from step 2 to form the new word.

Let's verify this pattern with REACHED:

• Odd positions (1, 3, 5, 7): R, A, H, D. Sequence: RAHD
• Even positions (2, 4, 6): E, C, E. Sequence: ECE
• Combine: RAHD + ECE = RAHDECE. This matches the given transformation.

Applying the Pattern to ANYTHING

Now let's apply this same pattern to the word ANYTHING. It has 8 letters.

Following the pattern:

• Take letters from odd positions (1, 3, 5, 7): A, Y, H, N. Sequence: AYHN
• Take letters from even positions (2, 4, 6, 8): N, T, I, G. Sequence: NTIG
• Combine the sequences: AYHN + NTIG = AYHNNTIG

The transformed word for ANYTHING is AYHNNTIG.

Comparing with Options

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

• Option 1: AYHNNTGI
• Option 2: AYNHNTIG
• Option 3: AYHNNTIG
• Option 4: YAHNNTIG

Our derived word, AYHNNTIG, matches Option 3 exactly.

Conclusion

The relationship between the first pair of words is a rearrangement where letters from odd positions are placed first in order, followed by letters from even positions in order. Applying this pattern to ANYTHING results in AYHNNTIG.

Revision Table: Word Analogy Pattern

Additional Information: Solving Word Analogy Questions

Word analogy questions test your ability to recognize relationships between word pairs. These relationships can be based on various principles, such as:

• Synonyms or Antonyms
• Part to Whole
• Cause and Effect
• Worker and Tool
• Action and Object
• Letter or Sound patterns (as seen in this question)
• Grammatical relationships

For patterns involving letters or words, look for:

• Reversal of letters
• Shifting of letters (e.g., each letter replaced by the next letter in the alphabet)
• Specific letter rearrangement rules (like odd/even positions, first half/second half swaps)
• Addition or removal of letters
• Consonant/Vowel separation and rearrangement

Breaking down the first word pair to identify the exact rule is crucial before applying it to the second pair.