Explanation:

- The sequence given: 105, 107, 103, ?, 101, 111

- Let’s check the pattern:

- 105 ? 107 (add 2)

- 107 ? 103 (subtract 4)

- 103 ? ?

- ? ? 101

- 101 ? 111 (add 10)

- Looking at the differences, it alternates between adding and subtracting in even numbers, increasing by 2 each time:

- +2, -4, +6, -8, +10

- So after -4, the next step must be +6:

- 103 + 6 = 109

- Now, check the next step:

- 109 ? 101 (109 - 8 = 101)

- The pattern fits perfectly.

Options:

1. 113 (Doesn’t fit the pattern)

2. 109 (Fits the pattern exactly)

3. 97 (Not fitting the step)

4. 102 (Not correct by the pattern)

Correct Answer:

2. 109