In the letter pair series AK, DQ, GV, JZ, ?, which pair of letters should come next to continue the pattern?

Difficulty: Easy

Correct Answer: MC

Explanation:


Introduction / Context:
This question presents a series of letter pairs: AK, DQ, GV, JZ, ?, and asks for the next pair. The pattern is based on separate numeric progressions for the first and second letters of each pair, which is a standard style of reasoning question in alphabet test topics.


Given Data / Assumptions:

  • Pairs in order: AK, DQ, GV, JZ, ?
  • Alphabet positions A 1, B 2, ..., Z 26.
  • We assume a regular pattern for both first letters and second letters.


Concept / Approach:
We split the series into two sequences: one formed by the first letters A, D, G, J, ? and another by the second letters K, Q, V, Z, ?. We then convert letters to numbers and look for consistent differences. Once the step sizes are identified, we extend each sequence to obtain the missing pair.


Step-by-Step Solution:
Step 1: Examine first letters: A, D, G, J. Step 2: Convert to numbers: A 1, D 4, G 7, J 10. Step 3: Differences are 4 minus 1 equals 3, 7 minus 4 equals 3, and 10 minus 7 equals 3. So the first letters increase by 3 each time. Step 4: Add 3 to 10 to get the next first letter: 10 plus 3 equals 13, which is M. Step 5: Now examine second letters: K, Q, V, Z. Step 6: Convert to numbers: K 11, Q 17, V 22, Z 26. Step 7: Differences are 17 minus 11 equals 6, 22 minus 17 equals 5, 26 minus 22 equals 4. Step 8: The step size is decreasing by 1 each time: plus 6, plus 5, plus 4, so the next step should be plus 3. Step 9: Continue from 26 using plus 3: 26 plus 3 equals 29, and 29 minus 26 equals 3, which is C. Step 10: The missing pair is therefore MC.


Verification / Alternative check:
We can summarize the pattern for second letters as 11, 17, 22, 26, 3 with step sizes 6, 5, 4, 3. This confirms a clear decreasing trend by 1 each time. Combining this with the constant plus 3 pattern for first letters gives the unique answer MC. No other pair in the options respects both rules.


Why Other Options Are Wrong:
NY and NZ have first letter N 14 rather than M 13, breaking the plus 3 pattern in the first column. MY has correct first letter M but second letter Y 25, which does not fit the decreasing step pattern from 26. MC alone matches both the first letter and second letter progressions.


Common Pitfalls:
A common mistake is to assume that both letters change by a fixed amount, and then abandon the problem when the second letters do not follow a constant step. The key is to notice that some patterns use changing steps, such as 6, 5, 4, 3. Carefully computing differences between consecutive terms avoids such confusion.


Final Answer:
The correct pair that completes the series is MC.

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