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Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

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BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Determine the day of the week on which Valentine’s Day (February 14) 1950 fell.

To determine

The day of the week on which Valentine’s day (February 14) 1950 fell.

Explanation

Given information: Find the day of the week on February 14, 1950.

Formula used:

The formula of Zeller’s congruence is given by

  x=(13m15+y4+c4+d+y2c)mod7

Where

  • d is the day of the month
  • m is the month using 1 for March, 2 for April,…,10 for December, January and February are assigned the values 11 and 12, respectively.
  • y is the last two digits of the year if the month is march through December; if the month is January or February, y is the last two digits of the year minus 1.
  • c is the first two digits of the year.
  • x is the day of the week (using 0 for Sunday, 1 for Monday,…., 6 for Saturday.)

Calculation:

Consider the formula of Zeller’s congruence

  x=(13m15+y4+c4+d+y2c)mod7

Here the values are

  d=14m=12y=501=49c=19

Therefore,

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