Question

By using the above Zeller' s formula, find the day for 26/01/1950.

Answer 1

The day for 26/01/1950 is Friday.

Step-by-step explanation:

We have to find the day for 26/01/1950 by using the Zeller' s formula.

The Zeller's formula is given by;

$\text{F} = \text{K} + (\frac{13 \times \text{m} -1}{5})+\text{D} + \frac{\text{D} }{4} +\frac{\text{C} }{4}-2\text{C}$

Now, we will understand the meaning of each and every term;

K = It is the date given to us, i.e;

For 26/01/1950, we take the date as 26, so K = 26.

m = Month number and it should be noted that in Zeller's formula, the month starts from March and end in February. So, the value of m here will be 11 because January will be the 11th month according to Zeller's rule.

D = It is the last two digits of the year given to us. This means in the year 1950, the last two digits are 50.

C = It is the first two digits of the year given to us. This means in the year 1950, the first two digits are 19.

Now, putting each of the value in the Zeller's formula, we get;

$\text{F} = \text{K} + (\frac{13 \times \text{m} -1}{5})+\text{D} + \frac{\text{D} }{4} +\frac{\text{C} }{4}-2\text{C}$

$\text{F} = \text{26} + (\frac{13 \times \text{11} -1}{5})+\text{50} + \frac{\text{50} }{4} +\frac{\text{19} }{4}-(2 \times \text{19})$

Note: We have to consider only the integer value and ignore the value after the decimal point.

$\text{F} = \text{26} + 28+\text{50} + 12 +4-38$

F = 82

Now, after getting the value of F, we have to divide that value by 7 and have to consider only the remainder value. So, on dividing 82 with 7, the remainder comes out to be 5.

Now, the remainder chart according to the Zeller's rule is given by;

Monday = 1

Tuesday = 2

Wednesday = 3

Thursday = 4

Friday = 5

Saturday = 6

Sunday = 7

Hence, the remainder 5 represents the day to be Friday, so the day for 26/01/1950 is Friday.

Answer 2

Step-by-step explanation:

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