The given question is a logical reasoning (LR) question that requires us to determine the day of the week on which Manoj was born. We are provided with the information that Manoj was born on March 6, 1993, and that the same year Independence day was celebrated on a Friday. From this information, we need to deduce the day of the week on which Manoj was born.

To determine the day of the week on which Manoj was born, we can use the concept of the Gregorian calendar and the algorithm to calculate the day of the week for any given date.

1. Understand the Gregorian calendar:
- The Gregorian calendar is the most widely used calendar system in the world today.
- It is a solar calendar that was introduced by Pope Gregory XIII in 1582 as a refinement of the Julian calendar.
- The Gregorian calendar has a 400-year cycle, with each year having either 365 or 366 days.

2. Know the algorithm to calculate the day of the week:
- There are various algorithms to calculate the day of the week for a given date, such as Zeller's Congruence or the Doomsday Algorithm.
- In this case, we can use the Doomsday Algorithm, which is relatively simple and efficient.
- The Doomsday Algorithm was devised by John Horton Conway and is based on the fact that there are certain dates called "Doomsdays" that always fall on the same day of the week within a given year.

3. Apply the Doomsday Algorithm:
- The Doomsday Algorithm requires the knowledge of the anchor days, which are specific dates that always fall on the same day of the week.
- The anchor days for the Gregorian calendar are as follows:
- January 3: anchor day for ordinary years
- January 4: anchor day for leap years
- February 28 (or 29 in leap years): anchor day for March
- March 7: anchor day for April
- April 4: anchor day for May
- May 9: anchor day for June
- June 6: anchor day for July
- July 11: anchor day for August
- August 8: anchor day for September
- September 5: anchor day for October
- October 10: anchor day for November
- November 7: anchor day for December
- December 12: anchor day for January and February

- To apply the Doomsday Algorithm, we need to determine the closest anchor day to the given date, which is March 6, 1993.
- Since the closest anchor day is March 7, we can deduce that March 7, 1993, was a Sunday.
- Now, we can count the number of days from March 7 to March 6, which is 6 days.
- Since Sunday is the first day of the week, we can conclude that Manoj was born on a Saturday.

Therefore, the correct answer is option 'B' - Saturday.