Explanation:

Let's analyze the given series step by step:

- The series is: 558, 570, 555, ?, 552, 576

- Let's check the difference between numbers:

- 570 - 558 = 12

- 555 - 570 = -15

- ? - 555 = ?

- 552 - ? = ?

- 576 - 552 = 24

- Now, see the pattern: +12, -15, ?, ?, +24

- There's a possible alternation between adding and subtracting with generic increments.

- Let's notice: 12 (increase), 15 (decrease), then blank, then 24 (increase).

- Observe if the differences, with alternate signs, are increasing by a pattern:

- 12 (+), 15 (-), next possible: 18 (+), 21 (-) (if following series of multiples of 3: 12, 15, 18, 21, 24)

- Next increase after 12 (+) would be 18; next decrease after 15 (-) would be 21.

So,

- After 558 (+12) ? 570

- After 570 (-15) ? 555

- After 555 (+18) ? 573 (so, ? = 573)

- After 573 (-21) ? 552

- After 552 (+24) ? 576

- Option 3 (573) fits this pattern.

- Option 1 (574), Option 2 (572), Option 4 (571): Do not fit the increment pattern.

Correct Answer:

Option 3: 573