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.
Srinivas said:
1 decade ago
How to find number of Sundays in a year (leap/non-leap)?
Yagnas said:
1 decade ago
100 years= 76 ordinary years +24 leap years.
How come?
How come?
Nakshatra said:
1 decade ago
Check all options and do verification by finding the day of 1st april (31+28+31+1) = 91 hence 91/7 = 13 remainder 0 therefore 1st april is sunday.
SHARIFU said:
1 decade ago
Shortcut:
From 0(AJ),1(JO),2(My),3(Ag),4(FMrN),5(Jn)6(SD).
And 1-S,2-M,3-T,4-W,5-TH,6-FR,7 or 0- Sat.
finding day on 1/4/2001.
1+0+(2001-1900)+(2001-1900)/4.
1+0+101+25 ; 101/4=25.25 take the whole number (25 only).
127/7=18 reminder 1 which represents day Sunday.
This means that if Sunday is 1 then Wednesday is 4 therefore,
Option D is right.
From 0(AJ),1(JO),2(My),3(Ag),4(FMrN),5(Jn)6(SD).
And 1-S,2-M,3-T,4-W,5-TH,6-FR,7 or 0- Sat.
finding day on 1/4/2001.
1+0+(2001-1900)+(2001-1900)/4.
1+0+101+25 ; 101/4=25.25 take the whole number (25 only).
127/7=18 reminder 1 which represents day Sunday.
This means that if Sunday is 1 then Wednesday is 4 therefore,
Option D is right.
Sahil said:
1 decade ago
Can someone explain why we also added 1 April.
Why (31+28+31+1) =91.
And why not (31+28+31) =90 because we have to find no of odd days before April so that we can find day on 1 April.
Can someone explain?
Why (31+28+31+1) =91.
And why not (31+28+31) =90 because we have to find no of odd days before April so that we can find day on 1 April.
Can someone explain?
Shobhit said:
1 decade ago
How does March have 31 days ?
Swati said:
1 decade ago
If number exist between 2000 to 2099 then apply formula like
Example 5 april, 2020.
1) Take last 2 digit 20
2) 20+20/4-1=>20+5-1=>4
3) Follow this series
0 For jan
3 For feb
3 For mar
6 For april
1 For may
4 For june
6 For july
2 For aug
5 For sep
0 For oct
3 For nov
5 For dec
4) Check the code for april= 6 that means month=6 then date=gives a date in question like 5
5)(y+m+d) mod 7 (mod means take remainder)
6)(24+6+5)mod 7=>35mod 7=>means 0 Sunday.
Example 5 april, 2020.
1) Take last 2 digit 20
2) 20+20/4-1=>20+5-1=>4
3) Follow this series
0 For jan
3 For feb
3 For mar
6 For april
1 For may
4 For june
6 For july
2 For aug
5 For sep
0 For oct
3 For nov
5 For dec
4) Check the code for april= 6 that means month=6 then date=gives a date in question like 5
5)(y+m+d) mod 7 (mod means take remainder)
6)(24+6+5)mod 7=>35mod 7=>means 0 Sunday.
Thams said:
1 decade ago
Thanks naveena I got it clearly.
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
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.
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