Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 3)
3.
What was the day of the week on 17th June, 1998?
Monday
Tuesday
Wednesday
Thursday
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 13 of 17.

Zemanian said:   8 years ago
There's a better way to solve this:

We know that for 2000 years, the number of odd days is 0.
Consider 17 June, 2001.

for the previous 2000 years, there are 0 odd days.
for the year of 2001, starting from Jan
31+28+31+30+31+17 = 168

which means there are 0 odd days.

now the day of the week for 17 June 2001 is Sunday.

now we need the day for 17 June 1998. Simply subtract the odd days of the preceding three years.

2000 is a leap year, whereas 1999 and 1998 are ordinary years.

So 0 - 2 - 1 - 1 = -4.

Go back 4 days from Sunday and you get Wednesday.

Ayesha said:   8 years ago
Why it's needed to calculate odd days for 1600 and 300?

Anuradha said:   7 years ago
How to calculate ordinary year and leap years in one century?

Please explain?

JOY said:   7 years ago
Simple , leap year = 100 / 4 = 25.
Ordinary year = 100 - 25 = 75.

Savanth said:   7 years ago
If you want to find number of odd days in 100 years, then 100/4=25.(Only. Quotient) Now,( 100 +25)/7=6(remainder).
So, there are 6 odd days in 100 no of Years.

Pratit said:   7 years ago
How many odd days in between 1901 to 2000? Please tell me the answer with the explanation.

Deepak padmule said:   7 years ago
In 1998.

i.e, 98 is a leap year so you should have to consider 29 days in Feb month but you hadn't considered it.

Bharathi said:   7 years ago
Can anybody derive and say 15th June 1998 is what day? Please

Shreya said:   7 years ago
How to calculate 1 odd day in 300years?

Roja st said:   7 years ago
Thanks @Sri Harsha.


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