Question : Directions: What was the day of the week on 24th October 2011?
Option 1: Wednesday
Option 2: Monday
Option 3: Tuesday
Option 4: Saturday
Correct Answer: Monday
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 October 2011 –
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 (October) = 0
Code for the century (2000) = 6
(2011 = 2000 + 11; For 2000 it will be 6 and for 11 it will be 11)
And, 11 ÷ 4 = 2(Quotient)
Now, on adding them we get→24 + 0 + 6 + 11 + 2 = 43
On dividing 43 by 7, we get 1 as a remainder.
1 is the code for Monday.
So, the 24th of October 2011 will be Monday. Hence, the second option is correct.
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