All questions of Calendar for CLAT Exam

Analysis:
To determine the day of the week for a given date, we can use the concept of the Gregorian calendar, which is the most widely used calendar system today. The Gregorian calendar repeats every 400 years, and each year has either 365 or 366 days.

Step 1: Leap Year Calculation
To determine if a year is a leap year, we need to check if it is divisible by 4 but not divisible by 100, unless it is also divisible by 400.
- In this case, the year is 2222, which is not divisible by 4, so it is not a leap year.

Step 2: Number of Days Calculation
To calculate the number of days between a given date and a reference date, we need to consider the number of days in each year, month, and the additional days for leap years.
- We will use the reference date as 1st January 1900, which was a Monday.

Number of years: We need to calculate the number of years between the reference year and the given year, excluding the given year.
- Number of years = 2222 - 1900 - 1 = 322

Number of leap years: We need to calculate the number of leap years between the reference year and the given year, excluding the given year.
- Number of leap years = (322 / 4) - (322 / 100) + (322 / 400) = 80 - 3 + 0 = 77

Number of non-leap years: We need to calculate the number of non-leap years between the reference year and the given year, excluding the given year.
- Number of non-leap years = 322 - 77 = 245

Number of days in years: We need to calculate the total number of days in the years between the reference year and the given year.
- Number of days in years = (245 * 365) + (77 * 366) = 89525 + 28142 = 117667

Number of days in months: We need to calculate the total number of days in the months of the given year.
- Number of days in months = 31 (January) + 28 (February) + 31 (March) + 22 (April) = 112

Total number of days: We need to calculate the total number of days between the reference date and the given date.
- Total number of days = Number of days in years + Number of days in months = 117667 + 112 = 117779

Step 3: Determining the Day
To determine the day of the week, we can divide the total number of days by 7 and find the remainder.
- Total number of days = 117779
- 117779 divided by 7 = 16825 remainder 4

Conclusion:
Since the reference day was Monday (day 0) and the remainder is 4, we can conclude that 22 Apr 2222 will be a Monday.

Understanding the Day of the Week Calculation
To determine the day of the week for a specific date, we can use a method called Zeller’s Congruence or simply count the days. Here, we will use a straightforward counting method.
Step-by-Step Calculation
1. Identify the Date:
- Year: 2010
- Month: August (8th Month)
- Day: 15
2. Key Reference Dates:
- We know that January 1, 2000, was a Saturday.
3. Calculate the Days from 2000 to 2010:
- 2000 to 2009: 9 years, including 2 leap years (2000, 2004, 2008).
- Total days = (9 years * 365 days) + (2 leap days) = 3287 days.
4. Days in 2010 until August 15:
- January (31) + February (28) + March (31) + April (30) + May (31) + June (30) + July (31) + August (15) = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 31 + 28 + 31 + 30 + 31 + 30 + 31

Explanation:

The calendar for any year depends on the number of days in that year and the days of the week on which each year begins. The year 2007 had 365 days starting on Monday.

To determine which year will have the same calendar as 2007, we need to look for a year that also has 365 days and starts on the same day of the week (Monday).

Using a calendar or a simple calculation, we can determine that the year 2018 also has 365 days and starts on a Monday. Therefore, the calendar for the year 2007 will be the same for the year 2018.

In summary, the answer is option D (2018) because it has the same number of days as 2007 and starts on the same day of the week.

HTML Representation:

• The calendar for any year depends on the number of days in that year and the days of the week on which each year begins.


• The year 2007 had 365 days starting on Monday.


• To determine which year will have the same calendar as 2007, we need to look for a year that also has 365 days and starts on the same day of the week (Monday).


• Using a calendar or a simple calculation, we can determine that the year 2018 also has 365 days and starts on a Monday.


• Therefore, the calendar for the year 2007 will be the same for the year 2018.


• In summary, the answer is option D (2018) because it has the same number of days as 2007 and starts on the same day of the week.

Explanation:
To determine the day of the week on February 8th, 2004, we can use a few methods, such as the Zeller's Congruence formula or counting the number of days between the two dates. Let's use the latter method.

Method:
1. Determine the number of days between February 8th, 2004, and February 8th, 2005.
- There are 365 days in a non-leap year.
- So, the number of days between the two dates is 365.

2. Divide the number of days by 7 to find the remainder.
- 365 divided by 7 equals 52 remainder 1.
- This means that February 8th, 2004, is 1 day after a multiple of 7.

3. Use the day of the week for February 8th, 2005, as a reference point.
- Given that February 8th, 2005, is Tuesday, we can count 1 day back to find the day for February 8th, 2004.
- Tuesday minus 1 day equals Monday.

Therefore, the day of the week on February 8th, 2004, was Monday.