Question : Directions: What was the day of the week on 05th of April 1234?
Option 1: Tuesday
Option 2: Sunday
Option 3: Monday
Option 4: Wednesday
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Correct Answer: Wednesday
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 –
1200 | 1300 | 1400 | 1500 | 1600 |
6 | 4 | 2 | 0 | 6 |
For, 5th of April 1234; –
Formula: {Date + (Month code) + (Century code) + ( last two digit of the year) + ((last two digit of the year / 4)'s Quotient)} / 7
Date = 5
Code for the month (April) = 6
Code for the century (1200) = 6
(1234 = 1200 + 34; For 1200 it will be 6 and for 34 it will be 34)
And, 34 ÷ 4 = 8(Quotient)
Now, on adding them we get→5 + 6 + 6 + 34 + 8 = 59
On dividing 59 by 7, we get 3 as a remainder.
3 is the code for Wednesday.
So, the 05th of April 1234 will be Wednesday. Hence, the fourth option is correct.
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