Question : Directions: What day of the week will be on the 1st of January 2033?
Option 1: Saturday
Option 2: Monday
Option 3: Sunday
Option 4: Tuesday
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Correct Answer: Saturday
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, 1st of January 2033 –
Formula: {Date + (Month code) + (Century code) + ( last two digit of the year) + ((last two digit of the year ÷ 4)'s Quotient)} ÷ 7
Date = 1
Code for the month (January) = 0
Code for the century (2000) = 6
(2033 = 2000 + 33; For 2000 it will be 6 and for 33 it will be 33)
And, 33 ÷ 4 = 8(Quotient)
Now, on adding them we get→1 + 0 + 6 + 33 + 8 = 48
On dividing 48 by 7, we get 6 as a remainder.
6 is the code for Saturday.
So, the 1st of January 2033 will be Saturday. Hence, the first option is correct.
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