The year next to 1991 having the same calendar as that of 1990 is

Options

A. 1998
B. 2001
C. 2002
D. 2003

Answer

To find the year next to 1991 that has the same calendar as that of 1990, we can follow these steps:

### Step 1: Identify the type of year 1990 is
1990 is a common year (not a leap year). A common year has 365 days, which means it starts on the same day of the week as the next common year that is not a leap year.

**Hint:** Remember that a common year advances the starting day of the next year by 1 day, while a leap year advances it by 2 days.

### Step 2: Determine the year type of 1991
Since 1990 is a common year, 1991 is also a common year.

**Hint:** Check if the year is divisible by 4 to determine if it's a leap year. If it’s not, it’s a common year.

### Step 3: Calculate the next year with the same calendar
To find the next year with the same calendar as 1990, we need to check the years after 1991. The pattern for common years is that they repeat every 6 years or 11 years depending on the leap years that occur in between.

**Hint:** For common years, if the next year is also a common year, add 1 day to the starting day of the week. If a leap year occurs, add 2 days.

### Step 4: Check the years after 1991
- **1992**: Leap year (advances by 2 days)
- **1993**: Common year (advances by 1 day)
- **1994**: Common year (advances by 1 day)
- **1995**: Common year (advances by 1 day)
- **1996**: Leap year (advances by 2 days)
- **1997**: Common year (advances by 1 day)
- **1998**: Common year (advances by 1 day)
- **1999**: Common year (advances by 1 day)
- **2000**: Leap year (advances by 2 days)
- **2001**: Common year (advances by 1 day)
- **2002**: Common year (advances by 1 day)

### Step 5: Identify the year that matches the calendar of 1990
After checking the years, we find that 2002 is the next common year that starts on the same day of the week as 1990.

**Final Answer:** The year next to 1991 that has the same calendar as that of 1990 is **2002**.