Identify the letter-cluster that does not belong to the given group.

The correct answer is MPRT.

To find the letter-cluster that does not belong to the group, let's analyze the positional values of the letters in the English alphabet for each given option:

1. QTVW:
Q = 17, T = 20, V = 22, W = 23
Differences between consecutive letters: 20 - 17 = +3, 22 - 20 = +2, 23 - 22 = +1
The pattern of increments is +3, +2, +1.

2. GJLM:
G = 7, J = 10, L = 12, M = 13
Differences between consecutive letters: 10 - 7 = +3, 12 - 10 = +2, 13 - 12 = +1
The pattern of increments is +3, +2, +1.

3. KNPQ:
K = 11, N = 14, P = 16, Q = 17
Differences between consecutive letters: 14 - 11 = +3, 16 - 14 = +2, 17 - 16 = +1
The pattern of increments is +3, +2, +1.

4. TWYZ:
T = 20, W = 23, Y = 25, Z = 26
Differences between consecutive letters: 23 - 20 = +3, 25 - 23 = +2, 26 - 25 = +1
The pattern of increments is +3, +2, +1.

5. MPRT:
M = 13, P = 16, R = 18, T = 20
Differences between consecutive letters: 16 - 13 = +3, 18 - 16 = +2, 20 - 18 = +2
The pattern of increments is +3, +2, +2.

All letter-clusters follow the addition pattern of +3, +2, +1 except for MPRT, which follows +3, +2, +2. Therefore, MPRT does not belong to the given group.