Choose the letter group that does not share the same pattern as the rest of the options.

Which of the following groups of letters is the odd one out?

The correct option is GQI.

To determine which letter group is the odd one out, let us analyze the alphabetical positions of each letter in the given letter groups:

1. BMK:
B = 2, M = 13, K = 11
Notice that the position of the middle letter is the sum of the positions of the first and third letters:
$2+11=13$ (which corresponds to M).

2. EMH:
E = 5, M = 13, H = 8
Sum of the first and third letter positions:
$5+8=13$ (which corresponds to M).

3. CLO:
C = 3, L = 12, O = 15
Wait, looking at CLO:
C = 3, O = 15, and L = 12
Sum of first and third letter positions:
$3+12=15$ (or $3+12=15$ for C + L = O).

4. DJF:
D = 4, J = 10, F = 6
Sum of the first and third letter positions:
$4+6=10$ (which corresponds to J).

In options BMK, EMH, CLO, and DJF, two of the letters' positions add up to the third letter's position (specifically, First + Third = Middle letter for BMK, EMH, DJF).

Now, let us examine GQI:
G = 7, Q = 17, I = 9
Sum of the first and third letter positions:
$7+9=16$
16 corresponds to P, not Q (which is 17).

Therefore, GQI does not follow the same pattern as the other groups and is the odd one out.