A series of letter pairs is given with one term missing. Choose the correct alternative from the given options that will complete the series TP, UQ, WS, ZV, ?

Introduction / Context:
This question is an example of an alphabet pair series where both letters in each pair change from term to term according to a fixed pattern. The candidate must understand how the first letters form one sequence and the second letters form another, and then predict the next pair that continues both sequences. This enhances pattern recognition and comfort with cyclic alphabetical changes.

Given Data / Assumptions:

• The sequence is TP, UQ, WS, ZV, ?
• Each term consists of two uppercase letters.
• We use A = 1, B = 2, up to Z = 26 for positional reference.
• The pattern should be consistent across all terms, including the missing one.

Concept / Approach:
We divide the problem into analysing the first letters separately from the second letters. By computing position numbers and examining differences, we look for constant increments. If the increments form a numerical sequence such as plus 1, plus 2, plus 3, plus 4, we extrapolate to find the next term. The same approach is applied to the second letters.

Step-by-Step Solution:
Step 1: Look at the first letters of each pair: T, U, W, Z. Step 2: Their positions are T = 20, U = 21, W = 23, Z = 26. Step 3: The differences between positions are: 20 to 21 is plus 1, 21 to 23 is plus 2, and 23 to 26 is plus 3. Step 4: Following this pattern, the next difference should be plus 4. So we add 4 to 26. In cyclic form, 26 plus 4 equals 30, and 30 minus 26 equals 4, which corresponds to D. Thus the next first letter is D. Step 5: Now look at the second letters: P, Q, S, V. Step 6: Their positions are P = 16, Q = 17, S = 19, V = 22. The differences are 16 to 17 is plus 1, 17 to 19 is plus 2, and 19 to 22 is plus 3. Step 7: Again, we expect the next jump to be plus 4. So 22 plus 4 equals 26, corresponding to Z. The next second letter is therefore Z. Step 8: Combining both results, the missing pair is DZ.

Verification / Alternative check:
We can verify the pattern by re listing the differences: first letters follow plus 1, plus 2, plus 3, plus 4 in a cyclic way; second letters follow the same structure. No other option yields first and second letters that confirm this precise stepwise pattern. The pair DZ uniquely fits both sub series.

Why Other Options Are Wrong:
EY, CY, and CZ do not keep the plus 1, plus 2, plus 3, plus 4 pattern for both letters. Some may satisfy one of the sequences but not the other. For example, CZ gives Z as the second letter but fails to match the correct first letter dictated by the rule. Hence they are mathematically inconsistent with the established pattern. The none of these option is clearly not valid once DZ is shown to fit perfectly.

Common Pitfalls:
Many candidates look only at the approximate alphabetical proximity of letters and make intuitive guesses. Another common error is to miscalculate differences when the alphabet wraps around at Z. Writing down explicit numerical positions helps avoid miscounting and ensures that the step pattern is clearly visible.

Final Answer:
The letter pair that correctly completes the series is DZ.