What was the day of the week on 2nd jan 2010 if it was Sunday on 1st jan 2006

Options

A. Saturday
B. Thursday
C. Sunday
D. Friday

Answer

To determine the day of the week on 2nd January 2010, given that 1st January 2006 was a Sunday, we can follow these steps:

### Step 1: Identify the starting point
We know that 1st January 2006 is a Sunday.

### Step 2: Calculate the number of years between 2006 and 2010
From 1st January 2006 to 1st January 2010, there are 4 years: 2006, 2007, 2008, and 2009.

### Step 3: Determine the number of odd days for each year
- **2006**: Not a leap year, so it has 365 days.
- Odd days = 365 ÷ 7 = 1 (remainder)

- **2007**: Not a leap year, so it has 365 days.
- Odd days = 365 ÷ 7 = 1 (remainder)

- **2008**: Leap year, so it has 366 days.
- Odd days = 366 ÷ 7 = 2 (remainder)

- **2009**: Not a leap year, so it has 365 days.
- Odd days = 365 ÷ 7 = 1 (remainder)

### Step 4: Sum the odd days
Now, we add the odd days from each year:
- 2006: 1 odd day
- 2007: 1 odd day
- 2008: 2 odd days
- 2009: 1 odd day

Total odd days = 1 + 1 + 2 + 1 = 5 odd days.

### Step 5: Include the day for 2nd January 2010
Since we are looking for 2nd January 2010, we need to add 1 more day for the 2nd:
Total odd days = 5 + 1 = 6 odd days.

### Step 6: Calculate the day of the week
Starting from Sunday (1st January 2006), we add the 6 odd days:
- Sunday + 6 days = Saturday.

### Conclusion
Thus, the day of the week on 2nd January 2010 was **Saturday**.

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