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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

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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