Question : Directions: What will be the day of the week on 15th April 2029?
Option 1: Saturday
Option 2: Monday
Option 3: Tuesday
Option 4: Sunday
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Correct Answer: Sunday
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, 15th of April 2029 –
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 (April) = 6
Code for the century (2000) = 6
(2029 = 2000 + 29; For 2000 it will be 6 and for 29 it will be 29)
And, 29 ÷ 4 = 7(Quotient)
Now, on adding them we get→15 + 6 + 6 + 29 + 7 = 63
On dividing 63 by 7, we get 0 as a remainder.
0 is the code for Sunday.
So, the 24th of October 2011 will be Monday. Hence, the fourth option is correct.
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