Don't lookup for the calendar!
Number Theory
Level
2
If July 3,1977 was a Sunday , then which day was July 3,1970 ?
thursday
friday
wednesday
sunday
tuesday
monday
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1 solution
No. Of years = 7, out of which no. Of leap years =2.
Total days in seven years(including two leap years) = 7 × 3 6 5 + 2 = 2 5 5 7
No. Of weeks = 3 6 5 + 2 d a y s e x t r a , while counting a week it brings us on the same day from which we started. For an explicit example, today is 6th of may(FRIDAY) add 7 days to it, we will end up with 13th of may which is also a Friday. Now, according to question, after traversing 365 weeks we end up in Sunday only. After that we are left with 2 days.
Since we are going back in time, then we should move in backwards while traversing days, like Sunday , then Saturday them Friday and so on.
Now we were left with 2 days, traverse backwards two days from Sunday , we will get F r i d a y .