Explanation:

- To solve the problem, start by determining what day today is if the day before yesterday was Tuesday.

- If the day before yesterday was Tuesday, then yesterday was Wednesday.

- Consequently, today must be Thursday.

- Now, calculate when Saturday will occur.

- If today is Thursday, then tomorrow is Friday.

- The day after tomorrow is Saturday.

- Option 1: Today – Incorrect. Today is Thursday, not Saturday.

- Option 2: Tomorrow – Incorrect. Tomorrow is Friday.

- Option 3: Day after tomorrow – Correct. Saturday will be the day after tomorrow.

- Option 4: Two days after tomorrow – Incorrect. That would be Sunday.

Option 3: Day after tomorrow is the correct answer.