Aptitude - Calendar - Discussion
Discussion Forum : Calendar - General Questions (Q.No. 4)
4.
What will be the day of the week 15th August, 2010?
Answer: Option
Explanation:
15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)
Odd days in 1600 years = 0
Odd days in 400 years = 0
9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days 4 odd days.
Jan. Feb. March April May June July Aug. (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days
227 days = (32 weeks + 3 days)
3 odd days.
Total number of odd days = (0 + 0 + 4 + 3) = 7 0 odd days.
Given day is Sunday.
Discussion:
95 comments Page 7 of 10.
Gpvsai said:
1 decade ago
Hello everybody ,
You must know some codes first.
Years, Days, Century code(for every 400 years ).
Jan-0, sun-0, 0:99-6.
Feb-3, mon-1, 1:199-4.
Mar-3, tue-2, 2:299-2.
Apr-6, wed-3, 3:399-0.
may-1, thr-4,
Jun-4, fri-5,
Jul-6, sat-6,
Aug-2.
Sep-5.
Oct-0.
Nov-3.
Dec-5.
Now formula is ,
Day = (Date+month code+no.of years+no.of leap years + century code)/(7).
In the given question 15th Aug 2010.
Day = (15+2+10+2+6)/7 = 7/7 = 0. Which is 'Sunday'. :).
You must know some codes first.
Years, Days, Century code(for every 400 years ).
Jan-0, sun-0, 0:99-6.
Feb-3, mon-1, 1:199-4.
Mar-3, tue-2, 2:299-2.
Apr-6, wed-3, 3:399-0.
may-1, thr-4,
Jun-4, fri-5,
Jul-6, sat-6,
Aug-2.
Sep-5.
Oct-0.
Nov-3.
Dec-5.
Now formula is ,
Day = (Date+month code+no.of years+no.of leap years + century code)/(7).
In the given question 15th Aug 2010.
Day = (15+2+10+2+6)/7 = 7/7 = 0. Which is 'Sunday'. :).
Nithya said:
1 decade ago
How for march the value of month is 6? I don't understand the month value.
Vaibhav said:
1 decade ago
Hey, this type of questions can be easily done by following formula
---------------------------------------------------------------------------------
f= K+[(13m-1)/5]+ d+[d/4]+[c/4]-2c
Here k= date of which you have to calculate(15 in above que.)
m= month (for march, m=1 and so on..for jan m=11)
d= last two digit of given year(10 in above que.)
c= first two digit of given year(20 in above que.)
---------------------------------------------------------------------------------
note: take only integer value after division for ex. 13/5=2
---------------------------------------------------------------------------------
For given question
15th August, 2010?
f=15+[(13*6-1)/5]+10+[10/4]+[20/4]-2*20
=15+15+ 10 + 2 + 5 -40
=7
Now 7%7==0
So its SUNDAY.
---------------------------------------------------------------------------------
f= K+[(13m-1)/5]+ d+[d/4]+[c/4]-2c
Here k= date of which you have to calculate(15 in above que.)
m= month (for march, m=1 and so on..for jan m=11)
d= last two digit of given year(10 in above que.)
c= first two digit of given year(20 in above que.)
---------------------------------------------------------------------------------
note: take only integer value after division for ex. 13/5=2
---------------------------------------------------------------------------------
For given question
15th August, 2010?
f=15+[(13*6-1)/5]+10+[10/4]+[20/4]-2*20
=15+15+ 10 + 2 + 5 -40
=7
Now 7%7==0
So its SUNDAY.
Trilochan said:
1 decade ago
@Rupali: First you go through the Important formluas which is given in the 1st page .
Rupali said:
1 decade ago
Please can you tell me how you write the.
Total number of odd days = (0 + 0 + 4 + 3) = 7 odd days.
I can't understand this step.
Total number of odd days = (0 + 0 + 4 + 3) = 7 odd days.
I can't understand this step.
Rakesh said:
1 decade ago
How can I know 9years has (2leap + 7 nonleap)?
Sundar said:
1 decade ago
@John
You can find the answer for your question in this page.
http://www.indiabix.com/aptitude/calendar/discussion-638
Hope this help you. Have a nice day!
You can find the answer for your question in this page.
http://www.indiabix.com/aptitude/calendar/discussion-638
Hope this help you. Have a nice day!
John said:
1 decade ago
Why we are taking the 2000 years as 1600 and 400 years ?
Rashi said:
1 decade ago
Thanks boney.
Boney said:
1 decade ago
If we divide 1600/400 we will get zero as remainder so it has zero odd days.
so in 2000 yrs we have 0 odd days.
In 9 yrs there r 2 leap years
leap yrs have 2 odd days(366/7 2 as remainder) and
non leapyr have 1 odd day totaling we have 2*2+7*1=11 odd days
Now cal no: of days in 2010 upto aug 15 then dividing by 7
will give no of odd days 2010 which is 3.
so in 2000 yrs we have 0 odd days.
In 9 yrs there r 2 leap years
leap yrs have 2 odd days(366/7 2 as remainder) and
non leapyr have 1 odd day totaling we have 2*2+7*1=11 odd days
Now cal no: of days in 2010 upto aug 15 then dividing by 7
will give no of odd days 2010 which is 3.
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