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What day of the week will 22 Apr 2222 be?
- a)Monday
- b)Tuesday
- c)Wednesday
- d)Thursday
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
What day of the week will 22 Apr 2222 be?a)Mondayb)Tuesdayc)Wednesdayd...
22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112
112 days = 0 odd day
Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112
112 days = 0 odd day
Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday
Most Upvoted Answer
What day of the week will 22 Apr 2222 be?a)Mondayb)Tuesdayc)Wednesdayd...
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.
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.
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What day of the week will 22 Apr 2222 be?a)Mondayb)Tuesdayc)Wednesdayd)ThursdayCorrect answer is option 'A'. Can you explain this answer?
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