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 4 of 17.

Vanita said:   1 decade ago
Number of odd days in 200 years = (5 x 2) 3 odd days.

Number of odd days in 300 years = (5 x 3) 1 odd day.

Number of odd days in 400 years = (5 x 4 + 1) 0 odd day.

Why, (Number of odd days in 400 years = (5 x 4 + 1) 0 odd day.) in this 1 is added ,

please clarify

Goms said:   1 decade ago
The basic rule to know about leap year is that the year should be divisible by 4.

For Eg: 4, 8, 12, 16, 20................100, 104 etc.,

Then here as per my knowledged 25 leap years should exists for every 100 years.

why all are considering 24 yrs in 100 years?

Suraj Singh said:   10 years ago
Before asking questions, you guys should have clear concept on leap year.

A leap year is a year, which is divisible by 400, or which is divisible by 4 and not divisible by 100.

So 100, 200, 300 is not a leap year.

So in 100 years, only 24 leap years, and so on.

Prince said:   1 decade ago
We can solve this problem by going back from 2000 to 17 June 1998.

= 2000-2 odd days (leap year).

= 1999-1 odd day.

= 1988 (197 days i.e 1 odd day) (31 dec+30 nov. 17 june).

Total 4 odd days.

Since we have reversely calculated it.

Sat, Fri, Thurs, Wed.

Priyanka Agrawal said:   9 years ago
@ Bidhya.

When no.of days are divided by 7 we get reminder, the reminder is called odd days.

Eg. In one year [non-leap year] there are 365 days,

So 365/7 = 1[reminder].

Then there is 1 Odd day in one year.

Simply no.of days/7 = reminder means odd days.

Pratyush Singh said:   4 years ago
96/4 = 24. and 96 -24 =72 ordinary years.

This means in 96 years there are 24 leap years and 72 ordinary years.

So, in 97 years = 96 (24 odd +72 ordinary)+ 1 (ordinary).
=> 97 years = 24 odd + 73 ordinary years.

i.e. 97-24 = 73 ordinary years.
(4)

Yadagiri said:   2 years ago
The last digit of the year = 98.
Quotient when divisible by 4 = 24.
Day in the given date = 17.
Digit of the month = 4.
Digit of the year = 0.
Add all these you will get = 143*7.
You will get the remainder as 3.
Then the above day is Wednesday.
(36)

Abhi said:   8 years ago
One other way of Finding the Answer is :

Just remember that 1st Jan 2000 was Saturday.

1999 (not leap year so 365 days) = 52 weeks + 1 day.
So to go to 1st Jan 1999 just have to subtract that 1 Extra day which is bringing the change.

Sathiyaraj said:   9 years ago
1998/4 = 499 leap years + 2 days,

499/7 = 71 weeks + 2 days,

So, 01-01-1998 falls on Wednesday(4th day of week),

Jan 31 + Feb 28 + Mar 31 + Apr 30 + May 31 + Jun 17 = 168 /7 = 24 weeks + 0 day,

So, 17 jun 1998 falls on Wednesday.

R G said:   6 years ago
Here, for calculation of 1997, they have said 1600 yrs + 300 yrs.

So the odd day obtained is 1. But instead, if we do 1700 yrs + 200 yrs than odd days obtained will be different. How to understand this? Please explain to me.


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