Aptitude - Calendar - Discussion

How you take 1600 and 400? I can't understand please tell me.

Let me make it clear 0 means Sunday 1 means Monday 2 means Tuesday 3 means Wednesday 4 means Thursday 5 means Friday 6 means Saturday 7 means 0 in terms of odd days.

1 year means 365 days it has one odd day after divide with 7 so if this year starts with Sunday then next year starts with Monday but if this year is leap year that means a multiple of 4 then next year starts with Tuesday.

So each year has one odd day and leap year has 2 odd days for every 100 years 100+24 odd days but after every 7 days the same day repeats for example today is Saturday after 7 days will be Saturday basing on this we neglect multiples of 7 and by dividing 124 with 7 we get 5 odd days.

So 100 years have 5 odd days but for every 400 years one day is added based on earth's rotation don't ask me about that so 400 years have 20+1 odd days which means 3 weeks and can be neglected as same day appears after any number of complete weeks.

How to find month code, day code and year code?

What is the day on 8th January 2015 please explain briefly?

1600 = 0 odd days.

400 years = 0 odd days.

15 years will be remained.

15 year will have (3 leap years + 12 ordinary years).

= (3*2+1*12) = (6+12) = 18 = 7+7+4 = 4 odd days.

8 = 1 week+1 day.

(0+0+4+1) = 5 days = Friday.

2000 to 2010 having 10 years.

In which 3 leap year (2000-01), (2004-05), (2008-09) & 7 normal years.

3 leap years have 6 odd days (3 years * 2 odd days) = 6 odd day.

Remaining 7 year having 7 odd day (individually 1) & for year (2010-11).

January February March April May June July Aug.

(31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days.

No of odd day = 227/7 = Remainder is 3.

So total odd days are 3+6+7 = 16.

Now 16/7, remainder is 2.

So Tuesday will come.

So how answer will come (Sunday)?

Instead of taking 2000 as reference can we take 2008 as it is also a leap year and closer to 2009?

I am not understand please say how will it come?