In the previous edition readers were given a calendar for 199 years. Now Srikrishnamangal would like to enrich our viewers with a formula to find out the day from any date starting from 1-1-1 AD.

Table No.1                                           Month Digits

Table No. 2                                                                              Century Digits

1          5          9          13        17        21                                5

2          6          10        14        18        22                                3

3          7          11        15        19        23                                1

4          8          12        16        20        24                                0

Formula :

Notes:

1) While dividing year by 4 reminder to be ignored. Only quotient to be considered.

2) While dividing by 7, Quotient to be ignored and only reminder is to be considered.

Table No. 3

Remainder                    1          2          3          4          5          6          0

                                    Sun      Mon     Tue      Wed     Thu      Fri        Sat

Exceptions : If the months are January & February of a leap year, subtract 1 from the numerator of the above formula.

Example :

1)                              30^th January 1948

i.e. Friday

2)                              12^th April 2003

(12+6+0+3+0) / 7 = 21 / 7 = 3 Q + 0 R

i.e. Saturday

3)                              2-10-1869

(2+0+3+69+17) / 7 = 91 / 7 = 13 Q + 0 R, ie, Sat

Readers may apply this formula and find out the day in which they were born or married etc.

KHOPKARS CONSTANT

Srikrishnamangal wants to enlighten its viewers regarding this mathematical phenomenon. This is applicable to all three digit numbers except Nelson (111) and its multiples.

Step 1: -           Re arrange the 3 digit number in the descending order.

Step 2: -           Re arrange the number in ascending order.

Step 3: -           Subtract 2 from 1

Step 4: -           Again re arrange the figure obtained as balance in descending and ascending order and subtract one from the other.

Step 5:-            With the balance arrived at continue the same process. After a few steps you will reach a stage where the some figure repeats. This figure is Khopkars Constant.

From the above two examples we can conclude that any such operations will end in 495 only may be in 6 steps or may be in 15 steps. This 495 is therefore the Khopkars Constant.

NB:  - If any of the readers know anything about Sri Khopkar and his works Srikrishnamangal will only be glad to publish the same.