Analysis:
To determine the day of the week on January 1, 2008, we need to understand the pattern of days in a week and the number of days in a year.

Pattern of Days in a Week:
There are 7 days in a week, namely Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday.

Number of Days in a Year:
A non-leap year consists of 365 days, while a leap year has 366 days. To identify whether a year is a leap year or not, we follow these rules:
1. If the year is divisible by 4, it is a leap year.
2. However, if the year is divisible by 100, it is not a leap year.
3. Unless the year is also divisible by 400, then it is a leap year.

Calculation:
Since January 1, 2007, is a Monday, we can calculate the day of the week on January 1, 2008, by counting the number of days between these two dates.

Number of Days between January 1, 2007, and January 1, 2008:
To calculate the number of days between these two dates, we need to consider the number of days in each month.

- January: 31 days
- February: 28 days (non-leap year)
- March: 31 days
- April: 30 days
- May: 31 days
- June: 30 days
- July: 31 days
- August: 31 days
- September: 30 days
- October: 31 days
- November: 30 days
- December: 31 days

Adding the total number of days from each month, we have:
31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 = 365 days

Since the total number of days is equal to the number of days in a non-leap year, the day of the week on January 1, 2008, will be the same as January 1, 2007, which is a Monday.

Hence, the correct answer is option B) Tuesday.