Explanation:

Let’s first find the pattern in the original set (5, 13, 12):

- The difference between 2nd and 1st number: 13 - 5 = 8

- The difference between 3rd and 1st number: 12 - 5 = 7

- The difference between 2nd and 3rd: 13 - 12 = 1

Now let’s check all options:

- Option 1: (13, 17, 11)

- 17 - 13 = 4

- 11 - 13 = -2

- 17 - 11 = 6

- Option 2: (6, 10, 8)

- 10 - 6 = 4

- 8 - 6 = 2

- 10 - 8 = 2

- Option 3: (11, 15, 9)

- 15 - 11 = 4

- 9 - 11 = -2

- 15 - 9 = 6

- Option 4: (15, 19, 13)

- 19 - 15 = 4

- 13 - 15 = -2

- 19 - 13 = 6

Best fit: Option 3 and Option 4 both have the same difference pairs as Option 1, which do not fit the original (8, 7, 1) pattern.

The original pattern seems to be:

Second number = First + 8

Third number = First + 7

Option 2:

Second number = 6 + 4 = 10

Third number = 6 + 2 = 8

Option 2 does NOT match the original logic.

So, the correct set does not appear in the given options, but none of the given options match the 8 and 7 increases as in the original pair.

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