If the word CARING is coded as EDVGKC, how will the word CASKET be coded using the same letter shifting pattern?

Introduction / Context:
This is a word-coding question where each letter of the input word is transformed into another letter using a consistent rule. You are told that the word CARING becomes EDVGKC, and you must apply the exact same transformation pattern to a new word, CASKET, to find its coded form. The key is to detect the letter-by-letter shifting rule (how many steps forward or backward in the alphabet) and then repeat it precisely for the second word.

Given Data / Assumptions:
We use the English alphabet A to Z and shift letters forward or backward by a fixed number of positions. Wrap-around (after Z comes A, before A comes Z) is assumed if needed, though it will not be required here.

• CARING is coded as EDVGKC
• We must code CASKET using the same rule
• Alphabet positions: A=1, B=2, ..., Z=26

Concept / Approach:
Compare each letter in CARING with the corresponding letter in EDVGKC and compute the shift. Often, such problems use a symmetric pattern: the first few letters move forward by increasing steps, and the last few letters move backward by the same increasing steps. Once the shift pattern is identified (like +2, +3, +4, then -2, -3, -4), apply it to the new word position-by-position.

Step-by-Step Solution:
First, find shifts from CARING to EDVGKC, then apply the same shifts to CASKET.

Step 1: C -> E. C(3) to E(5) is +2.Step 2: A -> D. A(1) to D(4) is +3.Step 3: R -> V. R(18) to V(22) is +4.Step 4: I -> G. I(9) to G(7) is -2.Step 5: N -> K. N(14) to K(11) is -3.Step 6: G -> C. G(7) to C(3) is -4.So the shift pattern is: +2, +3, +4, -2, -3, -4.Now apply this to CASKET:Step 7: C +2 = E.Step 8: A +3 = D.Step 9: S +4 = W.Step 10: K -2 = I.Step 11: E -3 = B.Step 12: T -4 = P.Therefore, CASKET is coded as EDWIBP.

Verification / Quick Check:
The pattern is symmetric: the first half moves forward by 2, 3, 4 and the second half moves backward by 2, 3, 4. CASKET has 6 letters like CARING, so the same six-position rule fits perfectly. The computed letters (E, D, W, I, B, P) match a listed option, confirming consistency.

Why Other Options Are Wrong:
EDXIBP: The third letter should be W (S +4), but X implies a +5 shift at position 3.
EDWIAP: The fifth letter must be B (E -3), but A indicates an incorrect backward shift.
EDWPAI: The fourth letter should be I (K -2), but P is far off and breaks the -2 step rule.
EDWI BQ: The last letter must be P (T -4), but Q implies -3, not -4.

Common Pitfalls:
A frequent mistake is to apply only forward shifts to every letter, or to reuse the same shift value for all positions. Another common error is to miss the mirror nature of the rule, where the last letters reverse direction (negative shifts). Also, do not guess from similar-looking options; always compute each letter carefully using the exact step for that position.

Final Answer:
The correct coded form of CASKET is EDWIBP.