In the letter analogy "ART : BSU :: MRV : ____", which option continues the same forward shift pattern?

Introduction / Context:
This analogy uses a fixed forward shift in the alphabet to convert one group of letters into another. In the pair "ART : BSU", each letter of ART is shifted to produce BSU. You must discover the amount of shift and then apply the same transformation to MRV in order to select the correct answer. Such letter based analogies help evaluate pattern recognition and attention to detail.

Given Data / Assumptions:

• First pair: ART becomes BSU.
• Second group: MRV must be transformed similarly.
• Alphabet positions: A = 1, B = 2, ..., Z = 26.
• The same shift value is used for each letter of the word.

Concept / Approach:
Convert each letter of ART into its numerical position. A is 1, R is 18 and T is 20. For BSU, B is 2, S is 19 and U is 21. Find the difference between each pair: 1 to 2 is plus 1, 18 to 19 is plus 1, and 20 to 21 is plus 1. Therefore, the rule is that each letter is advanced by one position in the alphabet. To get the answer, we apply this same plus 1 shift to each letter of MRV.

Step-by-Step Solution:

Write numerical positions for M, R and V: M = 13, R = 18, V = 22. Add 1 to the position of M: 13 + 1 = 14, which is N. Add 1 to the position of R: 18 + 1 = 19, which is S. Add 1 to the position of V: 22 + 1 = 23, which is W. Combine N, S and W to form NSW as the transformed group.

Verification / Alternative check:
Verify the options. KFT, MFG, NRV and MTW do not represent a uniform plus 1 shift from M, R and V. For instance, NRV repeats the last two original letters and changes only the first, so it fails the consistent rule test. NSW alone results from adding exactly 1 to the position of each letter, just as in the ART to BSU mapping. Therefore it is the only correct choice.

Why Other Options Are Wrong:
Any option that does not apply a plus 1 shift to each letter violates the discovered pattern. Some options change letters by larger steps or in an uneven manner, and some partially reuse original letters. Since an analogy must reflect the same rule in both pairs, these alternatives cannot be accepted.

Common Pitfalls:
Many test takers try to guess based on partial similarity or pronounceable combinations instead of checking each letter mathematically. Others may detect that A becomes B but then fail to confirm that the same shift applies to R and T. Systematically converting letters to numbers and verifying each position change prevents these errors.

Final Answer:
The correct completion of the analogy is "ART : BSU :: MRV : NSW".