Question : Directions: What was the day of the week on the 24th of August 1923?
Option 1: Monday
Option 2: Sunday
Option 3: Thursday
Option 4: Friday
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Correct Answer: Friday
Solution : Code for months –
Month | Jan | Feb | March | April | May | June | July | Aug | Sep | Oct | Nov | Dec |
Code | 0 | 3 | 3 | 6 | 1 | 4 | 6 | 2 | 5 | 0 | 3 | 5 |
Code for days –
Days | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
Code | 1 | 2 | 3 | 4 | 5 | 6 | 0 or 7 |
Code for centuries –
1600 | 1700 | 1800 | 1900 | 2000 |
6 | 4 | 2 | 0 | 6 |
For, 24th of August 1923 –
Formula: {Date + (Month code) + (Century code) + ( last two digit of the year) + ((last two digit of the year / 4)'s Quotient)} / 7
Date = 24
Code for the month (August) = 2
Code for the century (1900) = 0
(1923 = 1900 + 23; For 1900 it will be 0 and for 23 it will be 23)
And, 23 ÷ 4 = 5(Quotient)
Now, on adding them we get→24 + 2 + 0 + 23 + 5 = 54
On dividing 54 by 7, we get 5 as a remainder.
5 is the code for Friday.
So, the 24th of August 1923 will be Friday. Hence, the fourth option is correct.
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