Calendar: Formulas, Shortcuts and Solved Examples — MCQs with Answers (Set 2)

The 1st of September 2098 falls on a Monday. Friday is 4 day(s) after Monday in the week, so the first Friday of the month is the 5th. A week has 7 days, so every following Friday falls exactly 7 days later. Adding 7 repeatedly within the 30-day month gives 5th, 12th, 19th, 26th. Check: consecutive dates in 5th, 12th, 19th, 26th are each 7 days apart, all within the month.

The 1st of October 2088 falls on a Friday. Monday is 3 day(s) after Friday in the week, so the first Monday of the month is the 4th. A week has 7 days, so every following Monday falls exactly 7 days later. Adding 7 repeatedly within the 31-day month gives 4th, 11th, 18th, 25th. Check: consecutive dates in 4th, 11th, 18th, 25th are each 7 days apart, all within the month.

The 1st of February 1954 falls on a Monday. Friday is 4 day(s) after Monday in the week, so the first Friday of the month is the 5th. A week has 7 days, so every following Friday falls exactly 7 days later. Adding 7 repeatedly within the 28-day month gives 5th, 12th, 19th, 26th. Check: consecutive dates in 5th, 12th, 19th, 26th are each 7 days apart, all within the month.

The 1st of December 2055 falls on a Wednesday. Saturday is 3 day(s) after Wednesday in the week, so the first Saturday of the month is the 4th. A week has 7 days, so every following Saturday falls exactly 7 days later. Adding 7 repeatedly within the 31-day month gives 4th, 11th, 18th, 25th. Check: consecutive dates in 4th, 11th, 18th, 25th are each 7 days apart, all within the month.

The 1st of June 2090 falls on a Thursday. Saturday is 2 day(s) after Thursday in the week, so the first Saturday of the month is the 3rd. A week has 7 days, so every following Saturday falls exactly 7 days later. Adding 7 repeatedly within the 30-day month gives 3rd, 10th, 17th, 24th. Check: consecutive dates in 3rd, 10th, 17th, 24th are each 7 days apart, all within the month.

The 1st of March 2030 falls on a Friday. Monday is 3 day(s) after Friday in the week, so the first Monday of the month is the 4th. A week has 7 days, so every following Monday falls exactly 7 days later. Adding 7 repeatedly within the 31-day month gives 4th, 11th, 18th, 25th. Check: consecutive dates in 4th, 11th, 18th, 25th are each 7 days apart, all within the month.

The 1st of May 1977 falls on a Sunday. Thursday is 4 day(s) after Sunday in the week, so the first Thursday of the month is the 5th. A week has 7 days, so every following Thursday falls exactly 7 days later. Adding 7 repeatedly within the 31-day month gives 5th, 12th, 19th, 26th. Check: consecutive dates in 5th, 12th, 19th, 26th are each 7 days apart, all within the month.

The 1st of October 1964 falls on a Thursday. Sunday is 3 day(s) after Thursday in the week, so the first Sunday of the month is the 4th. A week has 7 days, so every following Sunday falls exactly 7 days later. Adding 7 repeatedly within the 31-day month gives 4th, 11th, 18th, 25th. Check: consecutive dates in 4th, 11th, 18th, 25th are each 7 days apart, all within the month.

The known date is 9th January, 2038, a Saturday. We need the same calendar date exactly one year earlier, in 2037. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2037. 2037 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Saturday gives Friday. Check: 9th January, 2037 is indeed a Friday.

The known date is 5th December, 2018, a Wednesday. We need the same calendar date exactly one year earlier, in 2017. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2018. 2018 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Wednesday gives Tuesday. Check: 5th December, 2017 is indeed a Tuesday.

The known date is 15th February, 2006, a Wednesday. We need the same calendar date exactly one year earlier, in 2005. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2005. 2005 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Wednesday gives Tuesday. Check: 15th February, 2005 is indeed a Tuesday.

The known date is 18th September, 1987, a Friday. We need the same calendar date exactly one year earlier, in 1986. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 1987. 1987 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Friday gives Thursday. Check: 18th September, 1986 is indeed a Thursday.

The known date is 15th August, 2085, a Wednesday. We need the same calendar date exactly one year earlier, in 2084. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2085. 2085 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Wednesday gives Tuesday. Check: 15th August, 2084 is indeed a Tuesday.

The known date is 11th October, 2039, a Tuesday. We need the same calendar date exactly one year earlier, in 2038. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2039. 2039 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Tuesday gives Monday. Check: 11th October, 2038 is indeed a Monday.

The known date is 25th January, 1966, a Tuesday. We need the same calendar date exactly one year earlier, in 1965. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 1965. 1965 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Tuesday gives Monday. Check: 25th January, 1965 is indeed a Monday.

The known date is 16th September, 2057, a Sunday. We need the same calendar date exactly one year earlier, in 2056. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2057. 2057 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Sunday gives Saturday. Check: 16th September, 2056 is indeed a Saturday.

The known date is 28th July, 1986, a Monday. We need the same calendar date exactly one year earlier, in 1985. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 1986. 1986 is not a leap year, so no 29 February falls inside the gap. So the shift between the two dates is 1 odd day(s). Going back 1 day(s) from Monday gives Sunday. Check: 28th July, 1985 is indeed a Sunday.

The known date is 14th September, 2060, a Tuesday. We need the same calendar date exactly one year earlier, in 2059. A gap of exactly one year is normally 1 odd day, but it is 2 odd days if a 29 February falls inside that gap. The year to check for that 29 February here is 2060. 2060 is a leap year, so its 29 February falls inside the gap. So the shift between the two dates is 2 odd day(s). Going back 2 day(s) from Tuesday gives Sunday. Check: 14th September, 2059 is indeed a Sunday.

Reference date: 1 January 2069, given as a Tuesday. Target date: 1 January 2070, exactly one year later. An ordinary year has 365 days = 52 weeks + 1 odd day. A leap year has 366 days = 52 weeks + 2 odd days. 2069 is an ordinary year, so it contributes 1 odd day(s). So the day of the week shifts by 1 day(s) from Tuesday. Counting 1 day(s) forward from Tuesday lands on Wednesday. Check: 1 January 2070 is indeed a Wednesday.

Reference date: 1 January 2057, given as a Monday. Target date: 1 January 2058, exactly one year later. An ordinary year has 365 days = 52 weeks + 1 odd day. A leap year has 366 days = 52 weeks + 2 odd days. 2057 is an ordinary year, so it contributes 1 odd day(s). So the day of the week shifts by 1 day(s) from Monday. Counting 1 day(s) forward from Monday lands on Tuesday. Check: 1 January 2058 is indeed a Tuesday.

Reference date: 1 January 2077, given as a Friday. Target date: 1 January 2078, exactly one year later. An ordinary year has 365 days = 52 weeks + 1 odd day. A leap year has 366 days = 52 weeks + 2 odd days. 2077 is an ordinary year, so it contributes 1 odd day(s). So the day of the week shifts by 1 day(s) from Friday. Counting 1 day(s) forward from Friday lands on Saturday. Check: 1 January 2078 is indeed a Saturday.

Reference date: 1 January 1952, given as a Tuesday. Target date: 1 January 1953, exactly one year later. An ordinary year has 365 days = 52 weeks + 1 odd day. A leap year has 366 days = 52 weeks + 2 odd days. 1952 is a leap year, so it contributes 2 odd day(s). So the day of the week shifts by 2 day(s) from Tuesday. Counting 2 day(s) forward from Tuesday lands on Thursday. Check: 1 January 1953 is indeed a Thursday.

Reference date: 1 January 2019, given as a Tuesday. Target date: 1 January 2020, exactly one year later. An ordinary year has 365 days = 52 weeks + 1 odd day. A leap year has 366 days = 52 weeks + 2 odd days. 2019 is an ordinary year, so it contributes 1 odd day(s). So the day of the week shifts by 1 day(s) from Tuesday. Counting 1 day(s) forward from Tuesday lands on Wednesday. Check: 1 January 2020 is indeed a Wednesday.

Reference date: 1 January 2029, given as a Monday. Target date: 1 January 2030, exactly one year later. An ordinary year has 365 days = 52 weeks + 1 odd day. A leap year has 366 days = 52 weeks + 2 odd days. 2029 is an ordinary year, so it contributes 1 odd day(s). So the day of the week shifts by 1 day(s) from Monday. Counting 1 day(s) forward from Monday lands on Tuesday. Check: 1 January 2030 is indeed a Tuesday.

Reference date: 1 January 2010, given as a Friday. Target date: 1 January 2011, exactly one year later. An ordinary year has 365 days = 52 weeks + 1 odd day. A leap year has 366 days = 52 weeks + 2 odd days. 2010 is an ordinary year, so it contributes 1 odd day(s). So the day of the week shifts by 1 day(s) from Friday. Counting 1 day(s) forward from Friday lands on Saturday. Check: 1 January 2011 is indeed a Saturday.