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The century can end with
- a)Sunday
- b)Saturday
- c)Thursday
- d)Tuesday
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect ...
100 years contain 5 odd days.
Last day of 1st century is Friday.
200 years contain (5 x 2) 3 odd days.
Last day of 2nd century is Wednesday.
300 years contain (5 x 3) = 15 1 odd day.
Last day of 3rd century is Monday.
400 years contain 0 odd day.
Last day of 4th century is Sunday.
This cycle is repeated.
Last day of a century cannot be Tuesday or Thursday or Saturday.
hence,sunday is left only
hence,sunday is left only
Most Upvoted Answer
The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect ...
The correct answer is option 'A' - Sunday. Let's explore why this is the case.
- The concept of days in a week:
The concept of a week consisting of seven days has been followed in various cultures and civilizations for centuries. In the Gregorian calendar, which is the most widely used calendar system today, the days of the week are named as Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday.
- Understanding centuries:
A century is a period of 100 years. It is commonly believed that centuries are counted from year 1 to 100, 101 to 200, and so on. However, the Gregorian calendar starts with the year 1 AD (Anno Domini) and does not have a year 0. Therefore, the first century consists of the years 1 to 100, the second century consists of the years 101 to 200, and so on.
- Counting the days:
If we consider the first century, it starts with the year 1 AD and ends with the year 100 AD. To determine the day on which the century ends, we need to consider the day on which the first day of the first year falls. In the Gregorian calendar, the first day of the year 1 AD was a Saturday.
- The rule for calculating the day of the week:
There is a widely used rule called Zeller's Congruence that allows us to calculate the day of the week for any given date. According to this rule, the day of the week can be calculated using the formula:
h = (q + [(13(m+1))/5] + K + [K/4] + [J/4] - 2J) mod 7
Where:
- h is the day of the week (0 = Saturday, 1 = Sunday, 2 = Monday, and so on)
- q is the day of the month
- m is the month (3 = March, 4 = April, ..., 12 = December). January and February are counted as months 13 and 14 of the previous year.
- K is the year of the century (year % 100)
- J is the zero-based century (actually (year / 100) (integer division))
- Applying Zeller's Congruence:
Using Zeller's Congruence, if we calculate the day of the week for January 1, 1 AD, we find that it is a Saturday. Therefore, the first century ends on a Saturday.
- Implication for the end of the century:
Since the first century ends on a Saturday, and each century consists of 100 years, the end of the second century will fall on the day following Saturday, which is Sunday. Similarly, the end of the third century will also fall on Sunday, and so on.
Therefore, according to the Gregorian calendar and Zeller's Congruence, the century can end with Sunday.
- The concept of days in a week:
The concept of a week consisting of seven days has been followed in various cultures and civilizations for centuries. In the Gregorian calendar, which is the most widely used calendar system today, the days of the week are named as Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday.
- Understanding centuries:
A century is a period of 100 years. It is commonly believed that centuries are counted from year 1 to 100, 101 to 200, and so on. However, the Gregorian calendar starts with the year 1 AD (Anno Domini) and does not have a year 0. Therefore, the first century consists of the years 1 to 100, the second century consists of the years 101 to 200, and so on.
- Counting the days:
If we consider the first century, it starts with the year 1 AD and ends with the year 100 AD. To determine the day on which the century ends, we need to consider the day on which the first day of the first year falls. In the Gregorian calendar, the first day of the year 1 AD was a Saturday.
- The rule for calculating the day of the week:
There is a widely used rule called Zeller's Congruence that allows us to calculate the day of the week for any given date. According to this rule, the day of the week can be calculated using the formula:
h = (q + [(13(m+1))/5] + K + [K/4] + [J/4] - 2J) mod 7
Where:
- h is the day of the week (0 = Saturday, 1 = Sunday, 2 = Monday, and so on)
- q is the day of the month
- m is the month (3 = March, 4 = April, ..., 12 = December). January and February are counted as months 13 and 14 of the previous year.
- K is the year of the century (year % 100)
- J is the zero-based century (actually (year / 100) (integer division))
- Applying Zeller's Congruence:
Using Zeller's Congruence, if we calculate the day of the week for January 1, 1 AD, we find that it is a Saturday. Therefore, the first century ends on a Saturday.
- Implication for the end of the century:
Since the first century ends on a Saturday, and each century consists of 100 years, the end of the second century will fall on the day following Saturday, which is Sunday. Similarly, the end of the third century will also fall on Sunday, and so on.
Therefore, according to the Gregorian calendar and Zeller's Congruence, the century can end with Sunday.
Community Answer
The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect ...
Explanation:
Understanding the concept of a century:
In the Gregorian calendar, a century refers to a period of 100 years. Each century is numbered from 1 to 100. For example, the 20th century refers to the period from 1901 to 2000.
Days of the week:
The Gregorian calendar follows a 7-day cycle, with the days of the week being Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday.
Identifying the day on which a century ends:
To determine the day on which a century ends, we need to consider the number of days in a century and the day on which the first day of the century falls.
Number of days in a century:
To calculate the number of days in a century, we need to consider leap years. A leap year occurs every 4 years, except for years that are divisible by 100 but not divisible by 400. Thus, in a century, there are 24 leap years and 76 non-leap years.
Number of days in 76 non-leap years = 76 * 365 = 27740 days
Number of days in 24 leap years = 24 * 366 = 8784 days
Total number of days in a century = 27740 + 8784 = 36524 days
Determining the day on which the first day of the century falls:
To determine the day on which the first day of the century falls, we can use the concept of a doomsday. A doomsday is a day of the week that always falls on the same date within a year. For example, July 4th is always a doomsday.
By applying a set of rules, we can determine the doomsday for any given year. Using the doomsday for the first year of the century, we can calculate the day on which the first day of the century falls.
Calculating the day on which the century ends:
Once we know the day on which the first day of the century falls and the total number of days in a century, we can calculate the day on which the century ends.
Since there are 36524 days in a century, and 36524 is divisible by 7, the day on which the first day of the century falls will be the same as the day on which the last day of the century falls.
Therefore, if the first day of the century falls on a Sunday, the last day of the century will also fall on a Sunday. Thus, option 'A' is the correct answer.
Understanding the concept of a century:
In the Gregorian calendar, a century refers to a period of 100 years. Each century is numbered from 1 to 100. For example, the 20th century refers to the period from 1901 to 2000.
Days of the week:
The Gregorian calendar follows a 7-day cycle, with the days of the week being Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday.
Identifying the day on which a century ends:
To determine the day on which a century ends, we need to consider the number of days in a century and the day on which the first day of the century falls.
Number of days in a century:
To calculate the number of days in a century, we need to consider leap years. A leap year occurs every 4 years, except for years that are divisible by 100 but not divisible by 400. Thus, in a century, there are 24 leap years and 76 non-leap years.
Number of days in 76 non-leap years = 76 * 365 = 27740 days
Number of days in 24 leap years = 24 * 366 = 8784 days
Total number of days in a century = 27740 + 8784 = 36524 days
Determining the day on which the first day of the century falls:
To determine the day on which the first day of the century falls, we can use the concept of a doomsday. A doomsday is a day of the week that always falls on the same date within a year. For example, July 4th is always a doomsday.
By applying a set of rules, we can determine the doomsday for any given year. Using the doomsday for the first year of the century, we can calculate the day on which the first day of the century falls.
Calculating the day on which the century ends:
Once we know the day on which the first day of the century falls and the total number of days in a century, we can calculate the day on which the century ends.
Since there are 36524 days in a century, and 36524 is divisible by 7, the day on which the first day of the century falls will be the same as the day on which the last day of the century falls.
Therefore, if the first day of the century falls on a Sunday, the last day of the century will also fall on a Sunday. Thus, option 'A' is the correct answer.
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The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect answer is option 'A'. Can you explain this answer?
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The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect answer is option 'A'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect answer is option 'A'. Can you explain this answer?.
The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect answer is option 'A'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The century can end with a)Sundayb)Saturdayc)Thursdayd)TuesdayCorrect answer is option 'A'. Can you explain this answer?.
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