16th July 1776,the day of the week was?a)Wednesdayb)Tuesdayc)Saturdayd...
16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776)
Counting of odd days :
1600 years have 0 odd day
100 years have 5 odd days
75 years = (18 leap years + 57 ordinary years)
= [(18 x 2) + (57 x 1)]
= 93 (13 weeks + 2 days)
= 2 odd days
1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day
Jan Feb Mar Apr May Jun Jul
31 + 29 + 31 + 30 + 31 + 30 + 16
= 198 days
= (28 weeks + 2 days)
Total number of odd days = (0 + 2) = 2
Required day was 'Tuesday'.
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16th July 1776,the day of the week was?a)Wednesdayb)Tuesdayc)Saturdayd...
Date and Day of the Week
The date given in the question is 16th July 1776. It is a specific date in history, and we need to determine the day of the week on that particular day.
Calculation Method
To calculate the day of the week for a given date, we can use some mathematical formulas or algorithms. However, for dates before the 20th century, we need to use a modified version of the algorithm to account for the change in the calendar system.
One such algorithm is the Zeller's congruence, which gives us a formula to calculate the day of the week based on the date, month, and year. The formula is as follows:
day = (date + ((13 * month - 1) / 5) + year + (year / 4) - (year / 100) + (year / 400)) mod 7
Here, the date, month, and year are the numerical values of the given date, and the mod 7 operation gives us the remainder when the total is divided by 7. The result of the formula will be a number from 0 to 6, where 0 represents Saturday, 1 represents Sunday, and so on.
Answer
Using the above formula, we can calculate the day of the week for 16th July 1776 as follows:
date = 16
month = 7 (July is the 7th month of the year)
year = 1776
day = (16 + ((13 * 7 - 1) / 5) + 1776 + (1776 / 4) - (1776 / 100) + (1776 / 400)) mod 7
= (16 + (90 / 5) + 1776 + 444 - 17 + 4) mod 7
= (16 + 18 + 1776 + 444 - 17 + 4) mod 7
= 2241 mod 7
= 6
Therefore, the day of the week for 16th July 1776 was Friday.
Conclusion
In conclusion, we can use mathematical formulas like Zeller's congruence to calculate the day of the week for any given date. In this case, we found that 16th July 1776 was a Friday.
16th July 1776,the day of the week was?a)Wednesdayb)Tuesdayc)Saturdayd...
In every 1600 years no.of odd days is zero .and in every 100 years no.of odd days is 5.
so,1600+100+76=1676
0. +5+38+57=100
(in 76 years 19 leap years and 57 ordinary years).
(from 1 Jan to 16 July total no.off odd days is 28).
so 100+28= 128 and 128/7(remainder is 2) so answer is Tuesday.