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The question asks about the day when Saturday will occur given that the day before^ yesterday was Tuesday. To solve this, we need to work backward.
The day before yesterday refers to two days prior to the current day. Therefore, if today is Tuesday, the day before yesterday was Sunday.
Now, we need to identify when Saturday will occur. Since there are three days between Sunday and Saturday, the correct answer is option 3 - the day after tomorrow.
Option 1 is incorrect because it refers to today, which is Tuesday and not Saturday.
Option 2 is also incorrect because it refers to tomorrow, which is still before Saturday.
Option 4 is incorrect because it refers to two days after tomorrow, which is even further from Saturday.
Thus, the correct answer is option 3 - the day after tomorrow.