GECD is related to CAYZ in a certain way based on the English alphabetical order. In the same way, AYWX is related to WUST. To wh…

Question

GECD is related to CAYZ in a certain way based on the English alphabetical order. In the same way, AYWX is related to WUST. To which of the following is USQR related, following the same logic?

1. A. QNLN
2. B. QOLN
3. C. QPLR
4. D. QOMN (Correct answer)

Correct Answer

Option D — QOMN

Detailed Solution & Explanation

The correct answer is QOMN.

Key Points

• Compare the given pairs letter by letter:
  • GECD → CAYZ: G−4=C, E−4=A, C−4=Y (wrapping past A), D−4=Z
  • AYWX → WUST: A−4=W (wrapping), Y−4=U, W−4=S, X−4=T
• The rule is −4 applied to every letter, treating the alphabet as circular so that A−1 = Z.
• Applying it to USQR:
  • U−4 = Q, S−4 = O, Q−4 = M, R−4 = N
• The answer is QOMN.

Additional Information

• The wrap-around is what the question is really testing. C−4 and A−4 both run off the front of the alphabet, and handling them correctly (C=3 → 3−4 = −1 → 25 = Y) is the difference between the right answer and the distractors.
• The formula $((\text{position} - 1 - n) \bmod 26) + 1$ handles any backward shift, however many times it loops.
• All four options begin with Q, so the first letter decides nothing — the test lies in positions 2 to 4, where QOLN, QNLN and QPLR each break one or more.
• Verify the rule against both given pairs before applying it; here the second pair is what confirms the wrap behaviour, since the first could be read other ways.