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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


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

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, 15th 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 15th of September 2005 will be Thursday. Hence, the second option is correct.

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