Calculate Samyak's Birth Date In October 2000

Let's figure out when Samyak was born! The question states that Samyak was born on the third Monday of October 2000, and that January 1st of that year was a Saturday. To solve this, we need to determine the date of the third Monday in October 2000. This involves understanding the calendar structure for that particular year and month. So, let's break it down step by step to make it super clear for everyone.

Understanding the Calendar for October 2000

To determine the date of the third Monday in October 2000, we need to build our way up from the given information, which is that January 1, 2000, was a Saturday. Understanding how the days progress through the months will help us pinpoint the exact date. Let's walk through each month to see how they influence the start of the subsequent month, eventually leading us to October.

January 2000

As given, January 1, 2000, was a Saturday. January has 31 days. So, to find out the day of the week for February 1, we need to account for these 31 days. Since there are 7 days in a week, we can use the modulo operation: 31 mod 7 = 3. This means February 1 will be 3 days after Saturday, which makes it a Tuesday.

February 2000

Since the year 2000 is a leap year (divisible by 400), February has 29 days. Starting from Tuesday, February 1, we again calculate the day of the week for March 1. Using modulo: 29 mod 7 = 1. Thus, March 1 will be 1 day after Tuesday, making it a Wednesday.

March 2000

March has 31 days. Starting from Wednesday, March 1, we calculate the day of the week for April 1. Using modulo: 31 mod 7 = 3. Thus, April 1 will be 3 days after Wednesday, making it a Saturday.

April 2000

April has 30 days. Starting from Saturday, April 1, we calculate the day of the week for May 1. Using modulo: 30 mod 7 = 2. Thus, May 1 will be 2 days after Saturday, making it a Monday.

May 2000

May has 31 days. Starting from Monday, May 1, we calculate the day of the week for June 1. Using modulo: 31 mod 7 = 3. Thus, June 1 will be 3 days after Monday, making it a Thursday.

June 2000

June has 30 days. Starting from Thursday, June 1, we calculate the day of the week for July 1. Using modulo: 30 mod 7 = 2. Thus, July 1 will be 2 days after Thursday, making it a Saturday.

July 2000

July has 31 days. Starting from Saturday, July 1, we calculate the day of the week for August 1. Using modulo: 31 mod 7 = 3. Thus, August 1 will be 3 days after Saturday, making it a Tuesday.

August 2000

August has 31 days. Starting from Tuesday, August 1, we calculate the day of the week for September 1. Using modulo: 31 mod 7 = 3. Thus, September 1 will be 3 days after Tuesday, making it a Friday.

September 2000

September has 30 days. Starting from Friday, September 1, we calculate the day of the week for October 1. Using modulo: 30 mod 7 = 2. Thus, October 1 will be 2 days after Friday, making it a Sunday.

Finding the Third Monday in October 2000

Now that we know October 1, 2000, was a Sunday, we can easily determine the dates of the Mondays in October. Let's list them out:

• First Monday: October 2
• Second Monday: October 9
• Third Monday: October 16

Therefore, the third Monday of October 2000 was October 16. So, guys, that's when Samyak was born!

Final Answer

The date of birth of Samyak is October 16, 2000. So, the correct answer is (3) 16.

Therefore, the final answer is (3) 16.

Additional Notes and Verification

To double-check our work, it's always a good idea to use online resources. There are many date calculators and calendars available that can quickly confirm the day of the week for any given date. Using one of these tools, you can verify that January 1, 2000, was indeed a Saturday and that October 16, 2000, was a Monday.

Why This Method Works

This method relies on the cyclical nature of the days of the week. Because there are 7 days in a week, the day of the week for any date repeats every 7 days. By using the modulo operation (mod 7), we can easily determine how many days "overflow" from one week to the next, allowing us to calculate the day of the week for subsequent dates.

Potential Errors to Watch Out For

When performing these calculations, it's crucial to keep track of the number of days in each month and to remember leap years. Forgetting to account for a leap year can throw off your calculations, especially if the date you're trying to determine falls later in the year. Also, double-check your modulo arithmetic to avoid simple calculation errors.

Conclusion

Determining specific dates based on calendar information can be a bit tricky, but breaking it down step by step makes it much easier. By starting with a known date (January 1, 2000, was a Saturday) and carefully calculating the day of the week for each subsequent month, we were able to pinpoint that October 1, 2000, was a Sunday. From there, it was straightforward to find the date of the third Monday in October, which is when Samyak was born. Remember, accuracy and attention to detail are key when working with calendar dates. So, next time you need to figure out a date, you'll be all set! You can use similar steps to figure out all sorts of dates. Just remember to take it slow and be accurate.

In summary, Samyak was born on October 16, 2000.