Aptitude - Calendar - Discussion
Discussion Forum : Calendar - General Questions (Q.No. 2)
2.
What was the day of the week on 28th May, 2006?
Answer: Option
Explanation:
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)
Odd days in 1600 years = 0
Odd days in 400 years = 0
5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2)
6 odd days
Jan. Feb. March April May (31 + 28 + 31 + 30 + 28 ) = 148 days
148 days = (21 weeks + 1 day)
1 odd day.
Total number of odd days = (0 + 0 + 6 + 1) = 7
0 odd day.
Given day is Sunday.
Discussion:
215 comments Page 8 of 22.
Salifu Adam w said:
9 years ago
Why 1600 is grouping first?
Sathiyaraj said:
9 years ago
Assume, 01-01-01 be a Monday,
So, 2006/4 = 501 leap years + 2 days,
501/7 = 71 weeks + 4 days,
So, 31-12-2005 ends with Saturday (4 + 2 days = 6),
Hence, 01-01-2006 starts on Sunday,
Jan 31+ Feb 28 + Mar 31+ Apr 30 + May 28 = 148 days,
148/7 = 21 weeks + 1 days,
2005 ends on Saturday + 1 = Sunday,
So 28 May 2006 was Sunday.
So, 2006/4 = 501 leap years + 2 days,
501/7 = 71 weeks + 4 days,
So, 31-12-2005 ends with Saturday (4 + 2 days = 6),
Hence, 01-01-2006 starts on Sunday,
Jan 31+ Feb 28 + Mar 31+ Apr 30 + May 28 = 148 days,
148/7 = 21 weeks + 1 days,
2005 ends on Saturday + 1 = Sunday,
So 28 May 2006 was Sunday.
Kasiraja said:
9 years ago
The January month has 31days in 4weeks, per week 7days. 31/7 then the remaining is 3. Therefore 3 is considered as odd days. 4weeks * 7days = 28. The remaining 3 is odd days.
Vidya sagar said:
9 years ago
Every last digit is known as odd no ie 29990 here "0" is know as odd.
Babai said:
9 years ago
How does month codes make?
Please tell me, @Kannaiah.
Please tell me, @Kannaiah.
Babai said:
9 years ago
Doomsday method is easy to understand.
Ebrishman said:
9 years ago
How/why 100 years has 76 ordinary years and 24 leap years?
Kevin said:
9 years ago
Applying doomsday method is the best thing in this type of problems.
Doomsday for a year= (year/12) + Remainder (year/12) + rem (year/12/4) : (year is last two digits).
Last day of Feb = 4 april (4/4); 6 june (6/6); 8 aug (8/8); 10 oct (10/10).
ANCHOR = WEDNESDAY for 1900 - 1999.
ANCHOR = TUESDAY for 2000 - 2999.
Doomsday for a year= (year/12) + Remainder (year/12) + rem (year/12/4) : (year is last two digits).
Last day of Feb = 4 april (4/4); 6 june (6/6); 8 aug (8/8); 10 oct (10/10).
ANCHOR = WEDNESDAY for 1900 - 1999.
ANCHOR = TUESDAY for 2000 - 2999.
Ajay said:
9 years ago
@Deena. I can get yours with much ease.
Shubham singh said:
9 years ago
Dividing any number by 7 that gives you as a reminder which is know odd no.
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