Directions: Identify the term that correctly fills the blank in the following series.

BDF16, DFH25, FHJ36, ?, JLN64

The correct option is HJL49.

To identify the term that fills the blank in the given series, we need to analyze the pattern for both the letters and the numbers separately.

Step 1: Analyzing the letter pattern

Let us write down the alphabetical position of each letter:
B = 2, D = 4, F = 6, H = 8, J = 10, L = 12, N = 14

Now, let us examine each letter position in the given terms:

1. First letter of each term: B, D, F, ?, J
The positions are 2, 4, 6, ?, 10.
Each step increases by +2 in alphabetical order:
B (2) + 2 = D (4)
D (4) + 2 = F (6)
F (6) + 2 = H (8)
H (8) + 2 = J (10)
Therefore, the first letter of the missing term is H.

2. Second letter of each term: D, F, H, ?, L
The positions are 4, 6, 8, ?, 12.
Each step increases by +2 in alphabetical order:
D (4) + 2 = F (6)
F (6) + 2 = H (8)
H (8) + 2 = J (10)
J (10) + 2 = L (12)
Therefore, the second letter of the missing term is J.

3. Third letter of each term: F, H, J, ?, N
The positions are 6, 8, 10, ?, 14.
Each step increases by +2 in alphabetical order:
F (6) + 2 = H (8)
H (8) + 2 = J (10)
J (10) + 2 = L (12)
L (12) + 2 = N (14)
Therefore, the third letter of the missing term is L.

Combining the three letters gives HJL.

Step 2: Analyzing the numerical pattern

The numbers in the given terms are 16, 25, 36, ?, 64.
Notice that these numbers are perfect squares of consecutive integers starting from 4:

$4^2=16$

$5^2=25$

$6^2=36$

$7^2=49$

$8^2=64$

The missing number in the series corresponds to $7^2$, which is 49.

Combining the letter sequence and the number sequence, the term that correctly fills the blank is HJL49.