Step 1: Understand what is being asked.
The question wants one exact calendar date (day, month and year), not just a day of the week.
Step 2: Test statement 1 alone.
Statement 1 says three days before today was Friday.
Counting three days forward from Friday: Saturday, Sunday, Monday, so today is a Monday.
This only fixes the day of the week. It does not say which Monday, so the month and year stay unknown. Statement 1 alone is not sufficient.
Step 3: Test statement 2 alone.
Statement 2 says one week before today was the first Tuesday in April 2007.
April 1, 2007 falls on a Sunday, so the first Monday is April 2 and the first Tuesday is April 3, 2007.
One week before today being April 3, 2007 means today is exactly seven days later, April 10, 2007.
This gives one fixed, unambiguous calendar date. Statement 2 alone is sufficient.
Final Answer:
Statement 2 alone pins down the exact date, statement 1 alone only gives a weekday. \[ \boxed{\text{Option (b): Statement 2 alone is sufficient}} \]