Select the number from among the given options that can replace the question mark (?) in the following series.
$$38,40,42,42,46,44,?$$

The given series is an alternating series (combination of two separate series interleaved together):
* First Series (at odd positions - 1st, 3rd, 5th, 7th terms):

$$38,42,46,\dots$$

The pattern here is adding $4$ to each consecutive term:

$$38+4=42$$

$$42+4=46$$

$$46+4=50$$

(This will be the 7th term, which replaces the question mark)
* Second Series (at even positions - 2nd, 4th, 6th terms):

$$40,42,44,\dots$$

The pattern here is adding $2$ to each consecutive term:

$$40+2=42$$

$$42+2=44$$

Since the question mark (?) is at the 7th position, it belongs to the first series.
Therefore, the required missing number is $46+4=50$.