Difficulty: Medium
Correct Answer: NLM
Explanation:
Introduction / Context:
This letter analogy involves a fixed backward shift in the alphabet. In the pair "WUV : TRS", each letter of the first group is changed to another letter in a consistent way. You must detect that pattern and apply it to the second group "QOP" to find the correct related letters from the options. This type of problem checks your ability to convert between letters and their alphabet positions and spot regular shifts.
Given Data / Assumptions:
Concept / Approach:
Convert each letter of WUV and TRS into its numerical position. W is 23, U is 21 and V is 22. T is 20, R is 18 and S is 19. From W to T, the shift is minus 3 (23 minus 3 = 20). From U to R, the shift is minus 3 (21 minus 3 = 18). From V to S, again minus 3 (22 minus 3 = 19). Thus the rule is clear: each letter in the first group is moved three places backward in the alphabet to obtain the corresponding letter in the second group. Apply this same shift to QOP.
Step-by-Step Solution:
Write the positions of Q, O and P: Q = 17, O = 15, P = 16. Apply the backward shift of 3 to Q: 17 minus 3 = 14, which corresponds to N. Apply the backward shift of 3 to O: 15 minus 3 = 12, which corresponds to L. Apply the backward shift of 3 to P: 16 minus 3 = 13, which corresponds to M. Combine the letters N, L and M to obtain NLM as the related group.
Verification / Alternative check:
Check each option. XYZ, CBA and ABZ are not three letters behind QOP and do not match the calculated letters NLM. Option NOP simply repeats two letters from the original group and therefore fails to apply any transformation. Only NLM matches the precise three step backward shift for each letter. This confirms that NLM is the only correct completion of the analogy.
Why Other Options Are Wrong:
XYZ and CBA are arranged either at the end or at the start of the alphabet, but they are not obtained from QOP by the discovered transformation. ABZ mixes early and late letters in a way not justified by the pattern. NOP keeps the original last two letters and does not shift them, which means it does not maintain the relationship that exists between WUV and TRS.
Common Pitfalls:
Some candidates try to match rough visual patterns, such as increasing or decreasing alphabetical order, without checking exact positions. Others consider shifting by two or four positions and become confused when the numbers do not line up. The safest method is to write the positions of letters, do the arithmetic and then retranslate those positions back into letters.
Final Answer:
The analogy is completed by "WUV : TRS :: QOP : NLM".
Discussion & Comments