In a certain code language, the word "CUDGEL" is written as "FYGKHP". Using the same coding rule, how is the word "DAINTY" written in that language?

Introduction / Context:
This coding and decoding question uses a letter shifting rule that depends on the position of each letter in the word. By comparing CUDGEL with its coded form FYGKHP, we must infer how much each letter is shifted forward or backward in the alphabet. Then the same shifts must be applied in order to the new word DAINTY. This kind of positional shifting is very common in verbal reasoning.

Given Data / Assumptions:

• "CUDGEL" is written as "FYGKHP".
• We need to code "DAINTY" in the same way.
• The order of letters in the word is preserved; only their alphabet positions change.
• Shifts may depend on whether the position is odd or even.

Concept / Approach:
To decode the rule, we compare each letter in CUDGEL with the corresponding letter in FYGKHP. By measuring how many steps forward each letter moves, we can detect a pattern. It turns out that letters in odd positions are shifted forward by three positions, while letters in even positions are shifted forward by four positions. Once this pattern is clear, we can apply it position by position to DAINTY.

Step-by-Step Solution:
Step 1: Write CUDGEL and FYGKHP in parallel with their positions. Step 2: At position 1, C goes to F, which is three letters ahead in the alphabet. Step 3: At position 2, U goes to Y, which is four letters ahead when wrapping around the alphabet as necessary. Step 4: At position 3, D goes to G, again a shift of three letters forward. Step 5: At position 4, G goes to K, a shift of four letters forward. Step 6: At position 5, E goes to H, three forward, and at position 6, L goes to P, four forward. Step 7: From this we infer the rule: letters in odd positions move forward by three, letters in even positions move forward by four. Step 8: Now apply this to DAINTY. Label positions: D(1), A(2), I(3), N(4), T(5), Y(6). Step 9: Position 1 (odd): D shifted by three positions becomes G. Step 10: Position 2 (even): A shifted by four becomes E. Step 11: Position 3 (odd): I shifted by three becomes L. Step 12: Position 4 (even): N shifted by four becomes R. Step 13: Position 5 (odd): T shifted by three becomes W. Step 14: Position 6 (even): Y shifted by four passes through Z, A, B, and becomes C. Step 15: The final coded word is G E L R W C, written as GELRWC.

Verification / Alternative check:
We can verify by reversing the process. Applying the inverse shifts (subtract three for odd positions and four for even positions) to GELRWC should return DAINTY. Indeed, G back three is D, E back four wraps to A, L back three is I, R back four is N, W back three is T and C back four wraps to Y. This confirms the rule is consistent and correctly applied.

Why Other Options Are Wrong:
The other options alter one or more letters in ways that do not match the three forward and four forward pattern by position. They may appear similar but do not come from applying the same clear rule used for CUDGEL. Therefore only GELRWC preserves both the structure of the rule and the correct order of letters.

Common Pitfalls:
Some learners try to use a single fixed shift for all letters or miscount when wrapping around at the end of the alphabet. Another common mistake is to forget that the rule alternates with position, not with consonants and vowels. Carefully tracking positions and counting forward the correct number of steps for each letter prevents such errors.

Final Answer:
Using the same position based shifting rule, "DAINTY" is written as GELRWC in the code language.