Aptitude - Calendar - Discussion
Discussion Forum : Calendar - General Questions (Q.No. 7)
7.
On what dates of April, 2001 did Wednesday fall?
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 5 of 7.
Vicky said:
1 decade ago
why finding this Total number of odd days = (0 + 0 + 0) = 0 and how u found On 1st April, 2001 it was Sunday
Jyothi Shetty said:
1 decade ago
How will someone come to know that 1st April, 2001 was a Sunday?
Sivakiran.u said:
1 decade ago
I think this conclusion is wrong because if 1st was sunday how can be 4th wednessday.
I think 3rd is wednessday.
I think 3rd is wednessday.
Gautam said:
1 decade ago
Why we find odd day in 1600 and 400 years in question? plese reply.
Sundar said:
1 decade ago
@Gautam
Formula/Shortcut: Odd days in 1600 years = 0
Formula/Shortcut: Odd days in 400 years = 0
Therefore, 1600 + 400 = 2000.
2000 + { Jan (31). Feb(28). March(31) April 1st (1) }
(31 + 28 + 31 + 1) = 91 days 0 odd days.
Therefore On 1st April, 2001 it was Sunday.
From this data, we can find that
In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.
Hope this will help you. Have a nice day!
Formula/Shortcut: Odd days in 1600 years = 0
Formula/Shortcut: Odd days in 400 years = 0
Therefore, 1600 + 400 = 2000.
2000 + { Jan (31). Feb(28). March(31) April 1st (1) }
(31 + 28 + 31 + 1) = 91 days 0 odd days.
Therefore On 1st April, 2001 it was Sunday.
From this data, we can find that
In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.
Hope this will help you. Have a nice day!
Kannan said:
1 decade ago
Please I can't understand why we get in 1600+400 ? replay me.
Aravinda said:
1 decade ago
Hi kannana. For every 400 years you get 0 odd days. Keep remember. 2000=400+400+400+400+400.
=0+0+0+0+0.
=0.
=0+0+0+0+0.
=0.
Chandraprakash said:
1 decade ago
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.
I can't understand how 1600 &400 are odd days. &u say 91 also odd days.
Please explain briefly with example.
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.
I can't understand how 1600 &400 are odd days. &u say 91 also odd days.
Please explain briefly with example.
Naveena Meher said:
1 decade ago
1.Odd Days: Number of days more than the complete number of weeks in a given perios is the number of odd days during that period.
2. Leap Year: Every year which is divisible by 4 is called a leap year. Thus, each one of the years 1992, 96, 2004, 2008 etc is a leap year.
Every 4th century is a leap year but no other century is a leap year. Thus each one 400, 800, 1200, 2000 etc are is a leap year. None of 1900, 2010, 2020, 2100 etcis a leap year.
An year which is not a leap year is called an ordinery year.
3. (i) An ordinary year has 365 days
(ii) A leap year has 366 days
4. Counting of Odd days
(i) 1 ordinary year = 365 days= (52weeks + 1day)
An ordinary year has 1 odd day
(ii) 1 Leap year =366 days= (52weeks + 2days)
A leap year has 2 odd days
(iii) 100 years= 76 ordinary years + 24 leap years
= [(76x52)weeks + 76days] + [(24x52)weeks + 48 days)
=5200weeks + 124days
=(5217weeks + 5days)
Therefore 100 years contain 5 odd days
200 years contain 10 and therefore 3 odd days
300 years contain 15 and therefore 1 odd day
400 years contain (20+1) and therefore 0 odd days
Similarly, each one of 800, 1200, 1600, 2000 etc contain 0 odd days
Remark: (7n+m) odd days, where m<7 days=" 1">
5.Counting Days:
We have : Sunday for 0 odd days; Monday for 1 odd day; Tuesday of 2 odd days and so on
So in that way U will get the number of Odd day s in mulitiple of 400 years :0 odd days
2. Leap Year: Every year which is divisible by 4 is called a leap year. Thus, each one of the years 1992, 96, 2004, 2008 etc is a leap year.
Every 4th century is a leap year but no other century is a leap year. Thus each one 400, 800, 1200, 2000 etc are is a leap year. None of 1900, 2010, 2020, 2100 etcis a leap year.
An year which is not a leap year is called an ordinery year.
3. (i) An ordinary year has 365 days
(ii) A leap year has 366 days
4. Counting of Odd days
(i) 1 ordinary year = 365 days= (52weeks + 1day)
An ordinary year has 1 odd day
(ii) 1 Leap year =366 days= (52weeks + 2days)
A leap year has 2 odd days
(iii) 100 years= 76 ordinary years + 24 leap years
= [(76x52)weeks + 76days] + [(24x52)weeks + 48 days)
=5200weeks + 124days
=(5217weeks + 5days)
Therefore 100 years contain 5 odd days
200 years contain 10 and therefore 3 odd days
300 years contain 15 and therefore 1 odd day
400 years contain (20+1) and therefore 0 odd days
Similarly, each one of 800, 1200, 1600, 2000 etc contain 0 odd days
Remark: (7n+m) odd days, where m<7 days=" 1">
5.Counting Days:
We have : Sunday for 0 odd days; Monday for 1 odd day; Tuesday of 2 odd days and so on
So in that way U will get the number of Odd day s in mulitiple of 400 years :0 odd days
Ram said:
2 decades ago
Please give some information about finding odd days.
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