Aptitude - To find the day of the week

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To find the day of the week

Find out what day of the week was January 12, 1979?

Total Answers and Comments: 5

Last Update: October 28, 2009 Asked by: neepabiswas

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Submitted by: rajani_vaddepalli15

12th Jan 1979

1979 = 1900yrs + 78yrs + (period from 1st Jan to 12th Jan 1979)
1900 yrs have 1 odd day(calculated as 1600yrs have 0 odd days, n 300yrs have 15 odd days i.e.15/7= 2 weeks+1 odd day.so,for 300yrs, it's 1 odd day.totally it's 0+1=1odd day for 1900yrs).
78yrs = 19leap yrs +59 ordinary yrs
= 19 *2 +59 *1
= 97days = 13weeks +6 odd days = 6 odd days
period from 1st Jan to 12th Jan 1979 =12 days = 1week + 5odd days = 5 odd days
Therefore,
12th Jan 1979 = 1+6+5 = 12days =1 week +5 odd days =5 odd days
Therefore, 12th Jan 1979 was a Friday.
(Since,Sunday->0,Monday->1,...,Fri->5,sat->6)

Above answer was rated as good by the following members:
Shwethascar, neelanjana_ghosh

February 13, 2008 08:24:13

bharat bhushan

Member Since: February 2008 Contribution: 1

RE: To find the day of the week

when we move down in yearwise a day decreases. but when a leap year comes 2 days gets decreased..for e.g.
12 jan 2008 --- saturday
12 jan 2007 --- friday
12 jan 2006 --- thursday
12 jan 2005 --- wednesday
12 jan 2004 --- monday..
so in 4 years five days gets reduced... so in this manner we can find out in which year wat day was on 12 jan..
ANSWER ----- it was friday on 12 jan 1979......

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June 23, 2008 10:11:58

madhasankar

Member Since: June 2008 Contribution: 2

RE: To find the day of the week

Friday

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July 02, 2008 03:05:47

rajani_vaddepalli15

Member Since: June 2008 Contribution: 19

RE: To find the day of the week

12th Jan 1979

1979 1900yrs + 78yrs + (period from 1st Jan to 12th Jan 1979)
1900 yrs have 1 odd day(calculated as 1600yrs have 0 odd days n 300yrs have 15 odd days i.e.15/7 2 weeks+1 odd day.so for 300yrs it's 1 odd day.totally it's 0+1 1odd day for 1900yrs).
78yrs 19leap yrs +59 ordinary yrs
19 *2 +59 *1
97days 13weeks +6 odd days 6 odd days
period from 1st Jan to 12th Jan 1979 12 days 1week + 5odd days 5 odd days
Therefore
12th Jan 1979 1+6+5 12days 1 week +5 odd days 5 odd days
Therefore 12th Jan 1979 was a Friday.
(Since Sunday->0 Monday->1 ... Fri->5 sat->6)

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Overall Rating: +2

July 16, 2009 13:49:24

anand3186

Member Since: July 2009 Contribution: 12

RE: To find the day of the week

Today is 16/07/2009 - thursday.
So 12.07.2009 -> Sunday.
From jan - june calculate the total no of odd days in each month
Jan 3(31 days... 31 7 3)
Feb 0
Mar 3
Apr 2
May 3
Jun 2
Total comes to 13. so 13 7 is 6 or -1.
Since we are back calculating take -1 as 1 so proceed one day forward from 12.07.2009 ie Sunady.
So 12.01.2009 is Monday.
Calculate the total no of odd days in each year from 1980 to 2009.
1 for normal yrs and 2 for leap yrs.
There are 30 years from 1980 to 2009 out of which there are 8 leap yrs.
so 1x22 + 2x8 38. now 38 7 +3.
Take -3 since we are back calculating.
go 3 days back from Monday(12.01.2009).
its FRIDAY !!!

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October 28, 2009 05:22:42

prasannamohandas

Member Since: October 2009 Contribution: 3

RE: To find the day of the week

12.01.1979

1600 - 0
1900 - 15
19 leap year 38
59 ordinary yr 59
12

total 0+15+38+59+12 124/7 bal 5
so that day is friday

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