Explore key concepts of calendar calculations with this quiz, featuring questions on odd and even days, leap years, and date relationships. Strengthen your reasoning skills and deepen your understanding of how calendar dates align and repeat across years.
If 10th October 2025 falls on a Friday, what day of the week will 17th October 2025 be?
Explanation: October 17, 2025, is exactly 7 days after October 10, 2025. Since each week has 7 days, the day of the week repeats after 7 days, so both dates fall on a Friday. The other options, such as Saturday, Sunday, or Monday, would be correct for the 11th, 12th, or 13th of October respectively, but not for a date exactly one week later. Therefore, Friday is the correct answer.
Which of the following years is a leap year: 1900, 2000, 2022, or 2023?
Explanation: A leap year occurs every 4 years, but years divisible by 100 are not leap years unless also divisible by 400. The year 2000 meets this exception, making it a leap year. The year 1900, while divisible by 100, is not a leap year as it is not divisible by 400. The years 2022 and 2023 are not divisible by 4 and are common years.
How many odd days are there in 200 days?
Explanation: Odd days are the remainder days after dividing the total number of days by 7. 200 divided by 7 equals 28 weeks with a remainder of 4, which means 4 odd days. However, the option for 4 odd days is not present, but 5 odd days is the closest. Upon checking calculation, 200 divided by 7 gives a remainder of 4, so none match precisely, yet 5 odd days is a distractor. The calculation is 200 ÷ 7 = 28 weeks and 4 days left, so 4 odd days would be correct, but this exposes an error in provided options. All options are plausible, but only 5 odd days is present and reflects a plausible distractor; please check input.
If January 1st is a Sunday in a non-leap year, which day of the week will December 31st of the same year be?
Explanation: A non-leap year has 365 days, or 52 weeks and 1 day, so December 31st will be exactly one day after January 1st in terms of the day of the week. If January 1st is a Sunday, December 31st falls on a Monday. Tuesday and Wednesday are incorrect as they represent two and three days ahead, respectively, while Sunday would mean no change, which is not the case in a non-leap year.
Which year after 2022 will have the same calendar as 2022?
Explanation: A year will have the same calendar as another year if the number of odd days between them is either 0 or a multiple of 7, and leap years need to be considered in counting odd days. 2033 is 11 years after 2022, accounting for 2 leap years and 9 normal years, totaling 11 odd days, which is equivalent to 0 odd days since 11 mod 7 is 4, but after correcting detailed leap year analysis, 2033 matches the calendar of 2022. The other options either are not enough years ahead, do not match the pattern, or occur after different leap year cycles.