Identify the group that does NOT follow the same pattern:

The correct option is E5 : H9 : K13.

To determine which group does NOT follow the pattern, let us analyze the relationship between the letters and numbers in each group.

First, observe the position of each letter in the standard English alphabet:

A = 1, B = 2, C = 3, D = 4, E = 5, F = 6, G = 7, H = 8, I = 9, J = 10, K = 11, L = 12, M = 13, and so on.

Let's check each option one by one:

Option 1: B2 : E5 : H8

Letter positions: B = 2, E = 5, H = 8.

Notice that each letter corresponds directly to its numerical position in the alphabet (B is 2nd, E is 5th, H is 8th).

The difference between consecutive letter positions is:

$5-2=3$

$8-5=3$

So, the pattern is adding +3 to both the letter position and the number value at each step.

Option 2: C3 : F6 : I9

Letter positions: C = 3, F = 6, I = 9.

The numbers match the alphabetical positions of the letters.

Differences between consecutive terms:

$6-3=3$

$9-6=3$

This group also follows the +3 increment pattern.

Option 3: D4 : G7 : J10

Letter positions: D = 4, G = 7, J = 10.

The numbers match the alphabetical positions of the letters.

Differences between consecutive terms:

$7-4=3$

$10-7=3$

This group also follows the +3 increment pattern.

Option 4: E5 : H9 : K13

Letter positions: E = 5, H = 8, K = 11.

Here, the numbers given in the group (5, 9, 13) do not match the standard alphabetical positions of H and K (which are 8 and 11, respectively).

Furthermore, the increments between the numbers are:

$9-5=4$

$13-9=4$

This group increases by +4 instead of +3, and the numbers do not match the actual positions of the letters.

Therefore, E5 : H9 : K13 is the group that does NOT follow the same pattern as the others.