In the alphanumeric series A/2, B/4, C/6, D/8, ?, ?, identify the pair of missing terms that correctly continues the pattern.

Difficulty: Easy

Correct Answer: E/10, F/12

Explanation:


Introduction / Context:
This problem is based on an alphanumeric series where both the letters and the numbers follow simple, regular patterns. The task is to identify how each part of the term changes from one position to the next and then apply that rule to find the missing pair of terms.


Given Data / Assumptions:

  • The given series is A/2, B/4, C/6, D/8, ?, ?
  • Letters in the numerators appear in the order A, B, C and D.
  • Denominators are the even numbers 2, 4, 6 and 8.
  • We assume the same pattern continues in a consistent way for the missing terms.


Concept / Approach:
We treat letters and numbers as two independent but linked sequences. The numerator letters are expected to move forward in the English alphabet with a constant step, and the denominators are expected to increase using a simple arithmetic pattern. Once these two separate patterns are identified, we combine them to obtain each full term in the series.


Step-by-Step Solution:
Step 1: Look at the letters: A, B, C, D. Each letter moves one step forward in the alphabet.Step 2: The next letters after D are E and F. So the missing numerators are E and F.Step 3: Look at the denominators: 2, 4, 6, 8. This is an arithmetic sequence with a common difference of 2.Step 4: Continuing this pattern, the next denominators are 10 and 12.Step 5: Combine the numerator and denominator patterns to get the missing terms: E/10 and F/12.


Verification / Alternative check:
Check the pattern once more. For the letters: A to B to C to D to E to F is a simple +1 step in the alphabet. For the denominators: 2, 4, 6, 8, 10 and 12 is a simple +2 arithmetic sequence. There are no breaks or inconsistencies, so E/10 and F/12 are fully consistent with all earlier terms.


Why Other Options Are Wrong:
Options like D/10, E/10 or E/8, F/10 either repeat a previous letter or break the constant step size in the alphabet or the even-number pattern in the denominators. Options that use C/10 or B/6 also move backwards in the alphabet, which does not match the strictly forward progression seen in the series.


Common Pitfalls:
A common mistake is to focus only on numbers or only on letters and ignore that both must follow a regular rule at the same time. Another error is to assume the step size changes midway. For standard exam series questions like this, step sizes are usually constant unless clearly indicated otherwise.


Final Answer:
The pair of missing terms that correctly continues the given alphanumeric pattern is E/10, F/12.

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