Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 11)
11.
The calendar for the year 2007 will be the same for the year:
2014
2016
2017
2018
Answer: Option
Explanation:

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year    : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017
Odd day : 1    2    1    1    1    2    1    1    1    2    1    

Sum = 14 odd days 0 odd days.

Calendar for the year 2018 will be the same as for the year 2007.

Discussion:
121 comments Page 8 of 13.

Shekharrao said:   10 years ago
What is mean of ordinary year?

Sudarshan said:   10 years ago
As per my calculation (Please refer calendar if you want to verify). For leap years there is one calculation. So having leap year as a base 5 years before the leap year and 6 years after the leap year you get the same calendar (Except January and February) as the base year considered here is a leap year.

Eg. 2012 was a leap year. 5 years before 2012 i.e. 2007 had the same calendar as 2012 and 6 years after 2012 that s 2018 are the same. Since 2012 was a leap year Jan and Feb would have differed from 2018 and 2007 from 2007 as we all know leap year effects are observed only in Feb where one day is added in Feb.

So hereby we conclude that 2007 is the same as 2018 as given in the question. I case any days from years 1 A.D till infinity.

Sudarshan said:   10 years ago
As per my calculations (all pl refer calendar) I have separate calculations for leap years and non leap years.

Eg: Take a leap year 2012. 5 years before this leap year and 6 years after this leap year you get the same calendar (except January and February as 2012 was a leap year and 2007 and 2018 were non leap years).

Hence you can arrive 2007 and 2018 as the same. Pl apply this logic to all leap years. I know this because I can say any days from years 1 A.D till infinity within seconds.

Sudarshan said:   10 years ago
As per my calculations (all pl refer calendar) I have separate calculations for leap years and non leap years.

Eg: Take a leap year 2012. 5 years before this leap year and 6 years after this leap year you get the same calendar (except January and February as 2012 was a leap year and 2007 and 2018 were non leap years).

Hence you can arrive 2007 and 2018 as the same. Pl apply this logic to all leap years. I know this because I can say any days from years 1 A.D till infinity within seconds.
(1)

Awdhesh said:   10 years ago
Explanation is not considered clearly. Find easy method please?

Paveek said:   10 years ago
@Hariharan.

2018 is not included because upto 2017 it is 14 so the next year is repeated year.

We just need perfect week (7, 14, 21....) next year of the perfect week is the repeated year.

Paveek said:   10 years ago
My best answer is hear:

1. Odd days:

2007 have 365 days (2007/4 = 3 (not perfect divisible) so it is not LEAP year and having 365 days. Now divide by 7 (number of weeks) to know how many weeks in 2007.

365/7 = 52.1 so 52 weeks and 1 day. So the year 2007 have 52 weeks and 1 day. This 1 day is consider as odd day).

2. So 2007 having 1 odd day.

2008/4 = 0 so LEAP year contain 366 day i.e. 52 week 2 odd days.

Similarly 2009 2010 2011 2012 2013 2014 2015 2016 2017.

1 2 1 1 1 2 1 1 1 2 1.

3. Now add all odd years because the year is repeated when odd days = 0.

4. 1+2+1+2+1 = 14.

5. 14 means it is perfect 2 weeks so no odd days.

6. We not get 7 in adding so we consider 14 (perfect week is needed).

7. 2018 is not included because upto 2017 it is 14 so next year is repeated year.

Master Black said:   10 years ago
Can you just calculate the next same year for 2008?

Murali.o said:   1 decade ago
Hai friends one small way is to add the number in 11 ok.

Akriti said:   1 decade ago
Why we are not considering 2018? According to me it should be 2017 as both 2007 and 2017 has 0 odd days. Please explain.


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