Question
Download Solution PDFIf 19 July 2000 was a Wednesday, then what would be the day of the week on 15 June 2012?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFOdd days:
A non-leap year has 365 days and a leap year has 366 days.
Non-leap year = 365 days or 52 weeks and 1 day. So, here the number of odd days is 1.
Leap year = 366 days or 52 weeks and 2 days So, here the number of odd days are 2.
Leap year between 2000 to 2012 = 2004, 2008 and 2012
And,
The non-leap year between 2000 and 2012 = 2001, 2002, 2003, 2005, 2006, 2007, 2009, 2010 and 2011
So, total number of odd day between 2000 and 2012 = 9 (Total Non- leap year) + 2 + 2 + 2 = 15 days = 1 odd day
|
Code of the day |
Day |
|
0 |
Sunday |
|
1 |
Monday |
|
2 |
Tuesday |
|
3 |
Wednesday |
|
4 |
Thursday |
|
5 |
Friday |
|
6 |
Saturday |
19 July 2000 was a Wednesday
=> Day on 19 July 2012 = Wednesday + 15
= Wednesday + remainder of 15/7
= Wednesday + 1 (odd day) = Thursday
Therefore, 19 July 2012 = Thursday
Now,
15 June 2012 = 19 July 2012 – 34 days
= Thursday – 34
= Thursday – the remainder of 34/7
= Thursday – 6 (In reverse direction)
= Friday
Hence, 15 June 2012 was “Friday”.
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