Which of the following pairs replaces ? in series given. B4U, F12P, ?, N108FOPTIONS J19K J20Q J36K K36Q

To find the missing term in the series B4U, F12P, ?, N108F, we can break down the problem into smaller segments for analysis.

1. ### Break Down the Problem

We need to identify the pattern in the series and determine the missing pair by finding the connection in characters and numbers.

2. ### Relevant Concepts

The series consists of terms formed by two letters, a number, and then a final letter (i.e., Letter1NumberLetter2).

1. The first letters in the series: B, F, ?, N
2. The numbers: 4, 12, ?, 108
3. The last letters: U, P, ?, F

3. ### Analysis and Detail

• First Letters: The first letters are B, F, ?, N. Observing the positions in the alphabet:

  • B = 2
  • F = 6
  • N = 14
  • From B to F, there's a difference of 4 (6 - 2).
  • From F to N, there's a difference of 8 (14 - 6).
  • Thus, the third letter should be at position 2 + 4 + 8 = 14, which corresponds to the letter J.

• Numbers: The sequence of numbers is 4, 12, ?, 108.

  • 4 is $4 = 4 \times 1$
  • 12 is $12 = 4 \times 3$
  • 108 can be viewed as $108 = 4 \times 27$.
  • The numbers appear to be successive multiples of 4, but it looks like they also grow by a multiplier that follows 1, 3, and then by 9 in the last known term. The missing term should be $4 \times 7 = 28$.

• Last Letters: Observing the last letters U, P, ?, F:

  • The positions in the alphabet are:
    • U (21), P (16), ?, F (6)
  • The difference between U and P is -5, and between P and F is -10, suggesting a consistent decrease.
  • Therefore, the middle term would be a letter that is 16 - 5 = 11, which corresponds to K.

4. ### Verify and Summarize

The identified missing term is thus J28K, considering the letter patterns and number sequences.

Final Answer

J28K