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 11 of 17.

Gyanendra Vaishya said:   10 years ago
Q. How to find number of odd days in 300 years?

Solution:

First number of odd days in 100 years = 98 ordinary years + 2 leap years (2 leap years means: 2*2 = 4 odd days).

1+4 = 5 odd days.

100 years had 5 odd days.

300 years had = 5 odd days*3.

= 15 odd days = 7*2 +1.

= 0+1 (7 days = 0 odd days so, 7+7= 0+0 = 0 odd days = days).

= 1 odd days.

Deepika said:   10 years ago
How can we calculate in a 100 years there are 76 ordinary years and 24 leap years?

Raju said:   10 years ago
How can calculate in a week?

Asif Syed said:   9 years ago
How can we calculate in a 100 years there are 76 ordinary years and 24 leap years?

100/4 = 25; then we should have 25 leap years, but why 24 please anyone clarify this.

RAJESH said:   9 years ago
Is there is any shortcut way and simple way to resolve the above query?

Madhukumar M S said:   9 years ago
Today is 29th March 2016, Tuesday. But if I calculate as your procedure, I'm getting Wednesday as the answer. Because 2016 is a leap year, should count February as 29 days. Please clarify.

Sathesh said:   9 years ago
100 years are not coming Tuesday or Thursday or Saturday.

Pratik chudasama said:   9 years ago
The answer should be Tuesday. Please check it again.

Akshay said:   9 years ago
@Deepika and @Asif, Just listen.

100/4 = 25, but the first year is not divisible by 4. (note that)

For example from 2001 to 2100 ....... 2001 is not leap year. That's why 25 - 1 = 24 leap years in 100 years.

Akshay said:   9 years ago
Yeah. The answer should be Tuesday. Because in 100 years there are 24 leap years. But in 97 years there are 23 leap years. I think so. Where I m wrong tell me, please.


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