Aptitude - Calendar - Discussion
Discussion Forum : Calendar - General Questions (Q.No. 3)
3.
What was the day of the week on 17th June, 1998?
Answer: Option
Explanation:
17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = (5 x 3) 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March April May June (31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.
Discussion:
165 comments Page 17 of 17.
Venkatesh said:
1 decade ago
How did you calculate number of odd days for 97 years?.
Srinivas said:
1 decade ago
We can caluclate the number of leap years by dividing the given two digit nuber with 4.
Supose we will take the above problem if 98 is divided by the 4 then we will get the no. Of leap years which nothing but the multiple of four i.e. 24.
Then 97 - 24 = 73.
73 ordinary years and 24 leap years.
Supose we will take the above problem if 98 is divided by the 4 then we will get the no. Of leap years which nothing but the multiple of four i.e. 24.
Then 97 - 24 = 73.
73 ordinary years and 24 leap years.
Nitesh Nandwana said:
1 decade ago
@Hi Shruthi,.
It is measured that each 100year has 5 odd days OK ?.
(remember it always don't ask why because this is not our main problem).
So, for 300years 5*3=15 odd days.
But 15 days are convert-able in weeks.
So, 15/7 = 2 weeks + 1 odd days.
(leave days for week, now they are not odd).
That's why 300years = 1 odd day.
It is measured that each 100year has 5 odd days OK ?.
(remember it always don't ask why because this is not our main problem).
So, for 300years 5*3=15 odd days.
But 15 days are convert-able in weeks.
So, 15/7 = 2 weeks + 1 odd days.
(leave days for week, now they are not odd).
That's why 300years = 1 odd day.
Bhupendra said:
2 decades ago
499*2=899 = no of odd day in leap(for understand)
1996-499=1497 odd day in remaining year (for understand)
odd day 899+1497= 2396 total odd day (for understand)
2396/7= 342+ 2/7=> 2odd day (actual odd day till 1996)
2+1= 3 odd day till 1997 (actual odd day till 1997)
then 1 Jan 1998= thursday
Jan 31
Feb 28
mar 31
april 30
may 31
june 17= wedenesday
1996-499=1497 odd day in remaining year (for understand)
odd day 899+1497= 2396 total odd day (for understand)
2396/7= 342+ 2/7=> 2odd day (actual odd day till 1996)
2+1= 3 odd day till 1997 (actual odd day till 1997)
then 1 Jan 1998= thursday
Jan 31
Feb 28
mar 31
april 30
may 31
june 17= wedenesday
Shruthi said:
2 decades ago
How to calculate odd days for 300 years?
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