Which of the following letter-number clusters will replace the question mark “?” in the given series to make it logically complete?
VPG 7, ZTK 11, DXO 15, HBS 19, ?

The correct option is LFW 23.

To find the letter-number cluster that replaces the question mark (?), let us analyze the pattern in each component of the given series:

Series: VPG 7, ZTK 11, DXO 15, HBS 19, ?

1. First Letter Pattern:
V (22) + 4 = Z (26)
Z (26) + 4 = D (4) (wrapping around the alphabet)
D (4) + 4 = H (8)
H (8) + 4 = L (12)

The first letter is L.

2. Second Letter Pattern:
P (16) + 4 = T (20)
T (20) + 4 = X (24)
X (24) + 4 = B (2) (wrapping around the alphabet)
B (2) + 4 = F (6)

The second letter is F.

3. Third Letter Pattern:
G (7) + 4 = K (11)
K (11) + 4 = O (15)
O (15) + 4 = S (19)
S (19) + 4 = W (23)

The third letter is W.

4. Number Pattern:
7 + 4 = 11
11 + 4 = 15
15 + 4 = 19
19 + 4 = 23

The number is 23.

Combining all components, the missing cluster is LFW 23.