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Question

Find the day of the week on 26 January 1950.


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Solution

Step 1: Finding the number of odd days till end of 1949

Odd days implies that days more than complete weeks

number of odd days in 400,800,1200,1600,2000 years are 0

Hence, the number of odd days in the first 1600 years are 0.

Number of odd days in the upcoming next 300 years =1

Number of odd days in 49 years =(12×2+37×1)
=61 days ÷7
=5 odd days

Total number of odd days in 1949 years =1+5
=6 odd days

Step 2: Finding the day on 26 January 1950

number of odd days till 26 January =5 odd days
Total number of odd days till 26 January1950 =5+6
=11days ÷7
=4 odd days
Sunday : 0, Monday : 1, Tuesday: 2, Wednesday: 3, Thursday: 4

Hence, the required answer is Thursday.


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