In a certain code language, the eight-letter word "STUBBORN" is written as "TUVCANQM". Using the same coding rule, how is the eight-letter word "TRAINING" written in that code language?

Introduction / Context:
This coding decoding question involves both positional shifts and different treatment of the first and second halves of an eight letter word. You are given the mapping STUBBORN → TUVCANQM and must apply the same pattern to TRAINING. The difficulty lies in spotting that the shift applied to the first four letters is different from the shift applied to the last four letters.

Given Data / Assumptions:

• STUBBORN is coded as TUVCANQM.
• The word TRAINING also has eight letters.
• The same transformation rule applies positionwise.
• Letter positions in the alphabet follow A = 1, B = 2, …, Z = 26.

Concept / Approach:
Write the original and coded words in parallel to see how each letter changes. For STUBBORN, we line up S T U B B O R N with T U V C A N Q M. Then, we compute the alphabetic shift for each position. A careful observation reveals that the first four letters are all shifted forward by one position, whereas the last four letters are all shifted backward by one position. This split rule must then be applied to TRAINING.

Step-by-Step Solution:
Step 1: For STUBBORN → TUVCANQM, check the first four letters: S → T, T → U, U → V, B → C. Each is a +1 shift.Step 2: Check the last four letters: B → A, O → N, R → Q, N → M. Each is a -1 shift.Step 3: Therefore, for any eight letter word, positions 1 to 4 are shifted +1 and positions 5 to 8 are shifted -1.Step 4: Write TRAINING: T(20), R(18), A(1), I(9), N(14), I(9), N(14), G(7).Step 5: Apply +1 to the first four positions: T → U(21), R → S(19), A → B(2), I → J(10).Step 6: Apply -1 to the last four positions: N → M(13), I → H(8), N → M(13), G → F(6).Step 7: The coded word is USBJMHMF.

Verification / Alternative check:
Rechecking for STUBBORN confirms the pattern for all eight positions, so there is no inconsistency in the rule. Applying the split shift (+1 for the first half and -1 for the second half) to TRAINING produces a unique result. None of the other answer choices matches this precise combination of shifts at each position, which confirms our answer is correct.

Why Other Options Are Wrong:

• USBJMHFM has the last two letters swapped and does not follow the consistent -1 rule for every one of the last four positions.
• JBSUFMHM and USBJMHME show incorrect shifts in several positions.
• USBNMHMF breaks the required pattern at the sixth position.

Common Pitfalls:
Students often assume a constant shift across all letters and miss the fact that the word is split into two halves with different operations. Others correctly see the shift but accidentally apply +1 or -1 in the wrong direction for some letters. Always check the transformation letter by letter against the example before applying the rule to a new word.

Final Answer:
Following the pattern, TRAINING is coded as USBJMHMF.