If 1st July, 1977 was a Friday then 1st July 1970 was aa)Wednesdayb)Th...
There are 7 years between the two except two of them are leap years.
In a normal year, there are 365 days. 365 when divided by 7 leaves a reminder of 1. So, 1 July of a year and 1 July of the previous year are one weekday apart. If it is a leap year, 1 July of a year and 1 July of a previous year are separated by 2 weekdays. So, If July 1, 1977 was a Friday, 1st july 1976 is a Thursday and 1st july 1975-tuesday 1st july 1974-monday 1st july 1973-sunday 1st july 1972-saturday 1st july 1971-thrusday 1st july 1970- wednesday
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If 1st July, 1977 was a Friday then 1st July 1970 was aa)Wednesdayb)Th...
Calculation of Day of the Week
To determine the day of the week for a particular date, we use the following formula:
Day of the week = [(Number of days from a known reference day) mod 7]
Here, the known reference day is 1st January 1900, which was a Monday.
Calculation for 1st July, 1977
To find the number of days between 1st January 1900 and 1st July 1977, we count the number of leap years and non-leap years that have elapsed in between.
Number of non-leap years = 77 - 1 = 76
Number of leap years = (77 - 1) / 4 = 19
Total number of days = (76 x 365) + (19 x 366) + (181 - 1) = 28024
Here, we subtract 1 from the number of days because we only want to count the days from 1st January 1900 to 30th June 1977.
Now, we apply the formula to find the day of the week:
Day of the week = (28024 mod 7) = 5
Therefore, 1st July 1977 was a Friday.
Calculation for 1st July, 1970
To find the day of the week for 1st July 1970, we follow the same procedure as above.
Number of non-leap years = 70 - 1 = 69
Number of leap years = (70 - 1) / 4 = 17
Total number of days = (69 x 365) + (17 x 366) + (182 - 1) = 25567
Here, we add 1 to the number of days because we want to count the day 1st July 1970 as well.
Now, we apply the formula to find the day of the week:
Day of the week = (25568 mod 7) = 3
Therefore, 1st July 1970 was a Wednesday.
Conclusion
Hence, the correct answer is option 'A' - Wednesday.