Raman was born on March 5, 1970, Lakshman was born 25 days before Raman. The year when they took birth, Republic Day fell on Monday. What is the day of birth of Lakshman?
Step-by-step Solution:
1. Find Lakshman's Date of Birth: - Raman's birthday is March 5, 1970.
- We need to count 25 days back from March 5.
- Counting back 5 days gets us to February 28 (since March has 0 days before the 1st).
- We still need to count back 20 more days (25 - 5 = 20).
- Since 1970 is not a leap year, February has 28 days. Counting 20 days back from Feb 28 lands us on February 8, 1970.
2. Count the Days from the Known Date (Republic Day): - We are given that Republic Day, January 26, 1970, was a Monday.
- Days remaining in January (after the 26th) = 31 - 26 = 5 days.
- Days into February to reach Lakshman's birthday = 8 days.
- Total number of days between the two dates = 5 + 8 = 13 days.
3. Find the Odd Days and Final Day: - To find the day of the week, we find the remainder when the total days are divided by 7.
- 13 ÷ 7 = 1 week and 6 odd days (remainder is 6).
- The day of Lakshman's birth is 6 days after Monday.
- Monday + 6 days = Sunday.
Final Answer: The day of birth of Lakshman was Sunday.