Aptitude - Calendar - Discussion
Discussion Forum : Calendar - General Questions (Q.No. 4)
4.
What will be the day of the week 15th August, 2010?
Answer: Option
Explanation:
15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)
Odd days in 1600 years = 0
Odd days in 400 years = 0
9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days 
4 odd days.
Jan. Feb. March April May June July Aug. (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days
227 days = (32 weeks + 3 days) 3 odd days.
Total number of odd days = (0 + 0 + 4 + 3) = 7 0 odd days.
Given day is Sunday.
Discussion:
95 comments Page 2 of 10.
Keisha said:
9 years ago
15 th August 2010.
Jan 31 + feb 28 + Mar 31 + Apr 30 + May 31 + June 30 + July 31+ Aug 15.
31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 227.
227/7 = 3 odd days.
*************************************.
For 10 years.
2000 + 2001 + 2002 + 2003 + 2004 + 2005 + 2006 + 2007 + 2008 + 2009.
(In 400, 1600, 2000 odd days are zero. ).
0 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 (odd days).
= 11 odd days.
Total odd days = 3 + 11 = 14.
14/7= 7.
We have 2 leap year + 7 ordinary years so =2 * 2 + 7 = 4 + 7 = 11 = 4 odd days
So, 4 + 3 = 7.
7/7 = 0 = Sunday.
Jan 31 + feb 28 + Mar 31 + Apr 30 + May 31 + June 30 + July 31+ Aug 15.
31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 227.
227/7 = 3 odd days.
*************************************.
For 10 years.
2000 + 2001 + 2002 + 2003 + 2004 + 2005 + 2006 + 2007 + 2008 + 2009.
(In 400, 1600, 2000 odd days are zero. ).
0 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 (odd days).
= 11 odd days.
Total odd days = 3 + 11 = 14.
14/7= 7.
We have 2 leap year + 7 ordinary years so =2 * 2 + 7 = 4 + 7 = 11 = 4 odd days
So, 4 + 3 = 7.
7/7 = 0 = Sunday.
(1)
Murugan.s said:
9 years ago
We are getting finally 7 (the first day 0 the week is Sunday) so how could we took 7 is Sunday, could you please sort out the same?
Lakshmi said:
8 years ago
Why we take 1600 and 400 explain in detail?
Narayan said:
8 years ago
Odd days in 400 years=0? I can't understand it. Please help me.
Jagadish said:
8 years ago
How can I find 40 years & how many odd days?
Pavan said:
8 years ago
We have an easy method......
Follow this if you feel it simple :)
This is a easy code technique.
Year cheat code, Month cheat code and date cheat code are the three types.
YEAR CHEAT CODE
1600 to 1699 = 6
1700 to 1799 = 4
1800 to 1899 = 2
1900 to 1999 = 0
2000 to 2010 = 6
MONTH CHEAT CODE
Jan = 0
Feb = 3
Mar = 3
Apr = 6
May = 1
Jun = 4
Jul = 6
Aug = 2
Sep = 5
Oct = 0
Nov = 3
Dec = 5
DAY CHEAT CODE
Sunday = 0
Monday = 1
Tuesday = 2
Wednesday = 3
Thursday = 4
Friday = 5
Saturday = 6
Now lets take an example....
11/03/1997 which is my birthday
Step 1 : Take last two digits of the year = 97
Step 2 : Take the date = 11
Step 3 : Divide 97 by 4 and take the quotient = 24
Step 4 : Take the year cheat code = 0 (For the range 1900 to 1997)
Step 5 : Take the Month cheat code = 03
Now add all the results
97+11+24+00+03 = 135.
Divide the answer by 7 and consider the remainder = 2 (Subract 1 from this in case of leap year).
Which is the Cheat code for Tuesday, therefore the answer is Tuesday.
Follow this if you feel it simple :)
This is a easy code technique.
Year cheat code, Month cheat code and date cheat code are the three types.
YEAR CHEAT CODE
1600 to 1699 = 6
1700 to 1799 = 4
1800 to 1899 = 2
1900 to 1999 = 0
2000 to 2010 = 6
MONTH CHEAT CODE
Jan = 0
Feb = 3
Mar = 3
Apr = 6
May = 1
Jun = 4
Jul = 6
Aug = 2
Sep = 5
Oct = 0
Nov = 3
Dec = 5
DAY CHEAT CODE
Sunday = 0
Monday = 1
Tuesday = 2
Wednesday = 3
Thursday = 4
Friday = 5
Saturday = 6
Now lets take an example....
11/03/1997 which is my birthday
Step 1 : Take last two digits of the year = 97
Step 2 : Take the date = 11
Step 3 : Divide 97 by 4 and take the quotient = 24
Step 4 : Take the year cheat code = 0 (For the range 1900 to 1997)
Step 5 : Take the Month cheat code = 03
Now add all the results
97+11+24+00+03 = 135.
Divide the answer by 7 and consider the remainder = 2 (Subract 1 from this in case of leap year).
Which is the Cheat code for Tuesday, therefore the answer is Tuesday.
Gokila said:
9 years ago
7/7= 0 remaider.
So, 7 ,14, 21, 28, 35 = have been considered as Sunday.
So, 7 ,14, 21, 28, 35 = have been considered as Sunday.
Naresh said:
9 years ago
If the remainder gets 1 then what is the week?
0 = sun
1 = Monday
2 = Tuesday
So on
Am I correct?
0 = sun
1 = Monday
2 = Tuesday
So on
Am I correct?
Subham said:
9 years ago
Why not 1600, 1200 = 0 odd days.
Namzi said:
9 years ago
Why should we take 1600 and 400?
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