Explanation:

- Let us look at the series you provided: 5, 7, 11, 14, 23, ?, 43, 48.

- Observe the differences between consecutive numbers:

- 7 - 5 = 2

- 11 - 7 = 4

- 14 - 11 = 3

- 23 - 14 = 9

- These differences are 2, 4, 3, 9, which appear to follow a pattern of increasing:

- 2, 4, 3, 9, (more specifically 2, 3, 4, 9).

- We notice an inconsistent increase, suggesting the possible missing number difference could continue a pattern.

- Continuing 9's increase to next potential unique increase, take 7 (as it fits previous difference incrementing rhythm, 2, 3, 4, 7), thus the difference could be 14.

- Therefore, add 14 to 23 giving 37.

- ? Answer: 37 fits because this strategy makes the immediate afterward differences fit: 43 - 37 = 6, 48 - 43 = 5, gives new possible interpolation sequence of incremental pattern.

- Based on choices:

- Option 4: 27 is not correct.

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