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23 Mar 2018, 07:28
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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?
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23 Mar 2018, 08:57
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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!
23 Mar 2018, 10:16
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