Question : Directions: What was the day of the week on the 15th of September 2005?
Option 1: Friday
Option 2: Thursday
Option 3: Tuesday
Option 4: Wednesday
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Correct Answer: Thursday
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, 15
th
of September, 2005 –
Formula: {Date + (Month code) + (Century code) + ( last two digit of the year) + ((last two digit of the year / 4)'s Quotient)} / 7
Date = 15
Code for the month (September) = 5
Code for the century (2000) = 6
(2005 = 2000 + 05; For 2000 it will be 6 and for 05 it will be 05)
And, 5 ÷ 4 = 1(Quotient)
Now, on adding them we get→15 + 5 + 6 + 05 + 1 = 32
On dividing 32 by 7, we get 4 as a remainder.
4 is the code for Thursday.
So, the 15 th of September 2005 will be Thursday. Hence, the second option is correct.
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