DATES & CALENDARS

In this session of my blog i shall explain you certain characteristics of dates and the corresponding days on which they fall. I shall also discuss a technique which will help you find the day on which any date fall for anyday.

TECHNIQUE

Before proceeding with the technique, I will give you a key of the months. This key will remain the same for any given year from 1901 to _

JanFebMarAprMayJunJulAugSepOctNovDEC
144025036146

To apply this technique, you will have to memorize this months keys. To facilitate memorizing the key, there is a small verse:

“It’s the square of twelve

and the square of five

and the square of six

and one-four-six”

(Note: the square of 12 is 144; the square of 5 is 25; the square of 6 is 36 and then you have 146)

The verse will help you to memorize the key easily. I request you to be conversant with this key before proceeding ahead.

In this method of calculation, the final answer is obtained in the form in the form of a remainder. On the basis of this remainder we are to predict the day of the week.

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

The day key is very simple and needs no learning(I think). Next, we will do an overview of the steps used in predicting the day.

steps

i) Subtract the year with 1900(for e.g., if the year is 2002, then minus it from 1900, so the result will be 102). Then take the found result.

ii) Add the number of leap years from 1901.

iii) Add the month-key(for e.g., if the month is June, then add 5)

iv) Add the date.

v) Divide the total by 7.

vi) Take the remainder and verify it with the day-key

These are the six steps that are required to predict the day of the given date.

examples

(A) What day was 1st Jan, 1941?

we subtract the year from 1900 and take the result=41

we add the number of leap years from 1900 to 1941=10

we add the month key for January =1

we add the date =1

TOTAL =53

When we divide 53 by 7, we get the remainder as 4. From the day key, it can seen that the remainder 4 corresponding with Wednesday. Hence, 1st Jan, 1941 was Wednesday.

(B) What day will be 1st Mar, 2024?

we subtract the year from 1900 and take the result=124

we add to it the number of leap years from 1901 =31

we add the month key for march =4

we add the date =1

TOTAL =160

When we divide 160 by 7, we get the remainder as 6. Hence, the given day was Friday.

Published by Lokesh Pandey

Student Maths lover

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