if 2nd october 2003 is thursday, then what will be the day of week on 15th july 2010?

To solve this, we need to calculate the number of days between **2nd October 2003** and **15th July 2010** and determine the corresponding day of the week.

### Step-by-Step Solution:

1. **Days from 2nd October 2003 to 2nd October 2004:**
   - The year 2004 is a leap year, so it has 366 days.
   - From 2nd October 2003 to 2nd October 2004 is exactly 366 days.

2. **Days from 2nd October 2004 to 2nd October 2009:**
   - The years 2005, 2006, 2007, 2008, and 2009 contribute the following:
     - 2005: 365 days
     - 2006: 365 days
     - 2007: 365 days
     - 2008: Leap year, 366 days
     - 2009: 365 days
   - Total days from 2nd October 2004 to 2nd October 2009:
     \[
     365 + 365 + 365 + 366 + 365 = 1826 \text{ days}
     \]

3. **Days from 2nd October 2009 to 15th July 2010:**
   - From 2nd October 2009 to 2nd October 2010 is 365 days, but we only need to calculate up to 15th July 2010:
     - October: 29 days (from 2nd to 31st)
     - November: 30 days
     - December: 31 days
     - January: 31 days
     - February: 28 days (2010 is not a leap year)
     - March: 31 days
     - April: 30 days
     - May: 31 days
     - June: 30 days
     - July: 15 days
   - Total days from 2nd October 2009 to 15th July 2010:
     \[
     29 + 30 + 31 + 31 + 28 + 31 + 30 + 31 + 30 + 15 = 286 \text{ days}
     \]

4. **Total Days:**
   - Total number of days from 2nd October 2003 to 15th July 2010:
     \[
     366 + 1826 + 286 = 2478 \text{ days}
     \]

5. **Day Calculation:**
   - To find the day of the week, divide the total days by 7 (since the week repeats every 7 days):
     \[
     2478 \div 7 = 354 \text{ remainder } 0
     \]
   - A remainder of 0 means that the day on **15th July 2010** will be the same day of the week as **2nd October 2003**, which is a **Thursday**.

### Answer:
The day of the week on **15th July 2010** will be a **Thursday**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do leap years affect day calculations over long periods?
2. What is the process for calculating the day of the week for any given date?
3. How do different calendar systems influence day calculations?
4. Can you calculate how many Thursdays fall between two dates?
5. How does the Gregorian calendar handle century leap years?

**Tip:** To quickly find the day of the week for a given date, you can use methods like Zeller's Congruence or the Doomsday algorithm.

If 2nd October 2003 is Thursday, then what will be the day of week on 15th July 2010?

Discover how to calculate the day of the week from 2nd October 2003 (Thursday) to 15th July 2010. This detailed solution explains calendar calculations, leap years, and the use of modular arithmetic to determine that 15th July 2010 falls on a Thursday. Suitable for students in Grades 6-8.

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