Question 42

If 15 August 1905 was a Tuesday, which day was 15 August in 1895?

Solution
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Number of odd days between 15 Aug 1895 to 31 Dec 1895 = $$16+2+3+2+3=26$$

Number of odd days between 01 Jan 1896 and 31 Dec 1904 = $$2+1+1+1+1+1+1+1+2=11$$

Number of odd days between 01 Jan 1905 to 15 August 1905 = $$3+0+3+2+3+2+3+15=31$$

=> Total odd days = $$(26+11+31)\%7=5$$

So, the 15th August 1895 is a Thursday

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