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How to find a day of given date in Calendar without using calendar ?

Posted on 27 Nov,2017 at 10pm IST


Mostly asked in competitive examinations like GATE, UPSC and etc.

This trick is applicable only in years between 1900 - 2000

and you have to remember the given two charts below. Simple trick to remember this chart.

1) Jan to mar it is 122.

2) April to Jun it is 52.

3) Jul to Sep it is 62.

4) Oct to Dec it is 122 + 2

Jan  Feb  Mar       April   May  Jun
 1    4    4         0       2    5
____________      _________________

Jul  Aug  Sep       Oct  Nov  Dec
 0    3    6        1    4    6
_____________      ______________

And count the days in this way from Sat to Fri with index 0 to 6.

Sat  Sun  Mon  Tue  Wed  Thu  Fri  
0     1    2    3    4    5    6

What is the day at 2 Jun 1943 ?

Basically there are five steps to find a day ...

1) Find the last two digits of year . Here, it is 43 from 1943.

2) Divide last two digits of year with 4 . 43/4 = 10 . Get the qoutient part only. Avoid remainder.

3) Write the date of which you have to find the the day. Here it is 2.

4) Jun month in first chart contains value 5 in above chart. So , 05

Add the values found in 4 steps :-

  43
+ 10
+ 02
  05
______
  60 

5) Divide 60/7 and find the remainder . Here , remainder will be 4

.

See the day in second chart with value 4.

Day will be Wednesday for 2 Jun 1943

2) Practice for 20 Jul 1945

Ans will be 6 which is Friday in second chart.
Values after solving four steps will be ...
45
10
20
00
__
55

And after dividing 55 with 7 ,
Remainder will be 6.