Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 7)
7.
On what dates of April, 2001 did Wednesday fall?
1st, 8th, 15th, 22nd, 29th
2nd, 9th, 16th, 23rd, 30th
3rd, 10th, 17th, 24th
4th, 11th, 18th, 25th
Answer: Option
Explanation:
We shall find the day on 1st April, 2001.

1st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001)

Odd days in 1600 years = 0

Odd days in 400 years = 0

Jan. Feb. March April
(31 + 28 + 31 + 1)     = 91 days 0 odd days.

Total number of odd days = (0 + 0 + 0) = 0

On 1st April, 2001 it was Sunday.

In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.

Discussion:
64 comments Page 3 of 7.

Khushi said:   7 years ago
Why is 1st day of April taken in consideration? please explain.

Pankaj said:   8 years ago
Without taking any base day how would I say 0 = Sunday?

Sid said:   9 years ago
I think 4th April, 2001 comes to be Friday. So the correct answer will be 2nd April series.

Poonam said:   9 years ago
Why 1600 and 400?

Because 1200 is min leap year 1300 in not leap year same 1400, 1500 also not a leap year 1600 is a leap year and the max leap year is 2000. Therefore all problems we get 1600.

Here, 2001 = 1600 + 400 (1600 is leap year so 0 odd day & 400 is also leap year therefore 0 odd days).

Gokila said:   9 years ago
19.8.2015 was a wednesday.

Solution:

I. Take the year part and split it into two parts (ie) 2014 & 2015
II. 2014 ...... Can be splited into 2000 years and 14 years.
III. Odd days calculation: since 2000 is a leap century (2000/400 =50) year so 0 odd day.
...>(14 /4= quotient =3 ,remaider=2) gives;

Leap year =3 . Ordinary year =(14-3=11) 11.
.....>Odd days in 14 yrs= [(3*2=6)+(11*1=11)]=6+11=17
Therfore total no of odd days in 2014= 17.
IV. 19.8.2015

Odd days:
Jan Feb Mar Apr May Jun July Aug
31 28 31 30 31 30 31 19
Add all days= 231,
Therfore odd days upto 19.8.2015 = 231,
V.Total odd days = 17(from step III) + 231(from step IV).
=248 /7 = 3(Remainder =3, And quotient =35).

0 -sunday
1- monday
2- tuesday
3- wednesday
4- thursday
5- friday
6- saturday

Therfore answer is Wednesday.

Notes:
Century leap years =400 , 800,1200,1600 ,2000,2400. That is a year which is divisible by 400.
100 is not a leap year eventhough it is divisible 4. Centuary year should be divisible by 400.

Ironman said:   9 years ago
How you found 1600 years and 400 years separately?

Gaurav said:   9 years ago
Can we use Zellers rule here?

Om shakya said:   9 years ago
Why you have not taken 1year in consideration?

Lobita said:   9 years ago
Hi, I had a little confusion.

Why in some cases it is 1600, 300 years and in some cases it is 1600, 400 years. Kindly explain this.

Akhila said:   10 years ago
Hi can anyone explain why you are taking 1600 or 300 or 400 at the initial stage please explain.


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