FISMAQUIM wrote:
It is known that a leap year is one in which the digits form a multiple number of 4 except the multiples of only 100 and not 400. Which day of the week will fall on March 22, 2352?
Hello,
This is not very relevant to GMAT. However, since it is still analytical, let me help you with this.
I would do this in my head (I love Mental Math) in less than a minute but the explanation will take long. Let me try.
2352 - 2018 = 334 years.
Non-leap years lead to an increment of one day for same date whereas leap years lead to an increment of 2 days. Example, March 22 is Thurday in 2018 so it will be Friday in 2019 (one day increase as non-leap year) and Sunday in 2020 (two days increase as 2020 is a leap year).
Out of these 334 years, 81 will be leap years (2020, 2024...2352, except 2100, 2200, 2300).
Hence, total increment = (334-81) x 1 + 81 x 2 = 334 + 81 = 415
415 days mean 59 complete weeks and
2 days.
Hence, practically, 22nd March 2352 will be Thursday +
2 days =
Saturday.
I am not sure how clear this calculation is. But such is the nature of your query, my friend
Best wishes,
Maxximus!
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