The easiest way to find the Days by Assistant Prof. (Mr.) R.Rajamuthu,Mathematics.

Posted by texilaadmin - 04 June, 2019

It's great, to introduce this formula to find the Days for the 10,000 years. You can calculate the day by mentally

Day formula→ (D+M+Y+[y/4]) mod 7

Here, D= Date


Y= year’s last two digits

Y/4= year’s last two digit divide by 4 and the quotient (if decimal, consider the integer only)


Example: 1

Let us take my Friend’s Birth Day 30-05-2011

Day =(D+M+Y+[y/4])mod 7

=(30+2+11+[2])mod 7

=45 mod 7 (Divide 48 by 7 then the remainder 3).

= Remainder 3

Hence, my Son's Birthday on Monday

(Note: The Birth year is more than 2000, therefore, consider the table -2 and category -2)


Step 1: Date (30)

Step 2: For the month of May Number identifies form the Table-1(2)

Step 3: Birth year of last two digits (11)

Step 4: Birth year last two digits divide by 4 and take only the quotient to leave the remainder

Step 5: Sum of all the number (30+2+11+2) and divide by 7,

Compare to the Table-2 with remainder and find the Day [45/7 then the remainder is 3, therefore, the Day is Monday]

Example: 2

Let us see, for the date 14/07/2019 is on which day

Day= (D+M+Y+[y/4]) mod 7

= (14+0+19+[4])mod 7

= (37/7 and the remainder is 2]


Compare to the Table-2 with remainder and find the Day [37/7 then the remainder is 2, therefore, the Day is Sunday]

the Day is Sunday

Exercise: 1

Zambia Independence Day is On 24 October 1964 If 24th October falls on which day?

Topics: Texila American University Zambia Campus

Recent Posts

Felicitation Event for our students on successfully clearing CAMC exams

read more

Congratulations on Qualifying NEET Exam!

read more

Analysis of Forex regulations and its importance to the Zambian Economy by Dr Agape Kapasa

read more