March 1, 2008 was Saturday. Which day was it on March 1, 2002?

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Q: 10 (IAS/2008)
March 1, 2008 was Saturday. Which day was it on March 1, 2002?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,4,14,3,4,8,3

keywords: 

{'saturday': [0, 0, 1, 1], 'friday': [0, 1, 3, 1], 'sunday': [0, 1, 2, 4], 'march': [10, 2, 7, 13], 'thursday': [0, 1, 1, 0], 'day': [0, 0, 1, 0]}

To determine the day of the week for March 1, 2002, we can use a method called Zeller`s Congruence. This formula allows us to calculate the day of the week for any given date in the Gregorian calendar.

Zeller`s Congruence uses the following formula:

h = (q + ((13 * (m + 1)) / 5) + K + (K / 4) + (J / 4) - 2J) % 7

Where:

- h is the day of the week (0 = Saturday, 1 = Sunday, 2 = Monday, ..., 6 = Friday)

- q is the day of the month (1, 2, ..., 31)

- m is the month (3 = March, 4 = April, ..., 14 = February)

- K is the year of the century (year % 100)

- J is the zero-based century (actually ? year / 100 ?)

Let`s calculate the values for March 1, 2002, and find out the corresponding day of the week.

q = 1 (March 1)

m = 1 (January)

K = 2 (2002 % 100 = 2)

J = 20 (?2002 / 100? = 20)

Plugging these values into the formula, we get:

h = (1 + ((13 * (1 + 1)) / 5) + 2 + (2 / 4) + (20 / 4) - 2 * 20) % 7

= (1 + (26 / 5) + 2 + 0.5 + 5 - 40) % 7

= (1 + 5.2 + 2 + 0.5 + 5 - 40) % 7

= (13.7 - 40) % 7

= -26.3 % 7

= -26.3 + 7

= -19.3

? 4.7

Since the result is approximately 4.7, we can round it to the nearest whole number, which is 5. Therefore, March 1, 2002, fell on a Friday.

Therefore, Option 2: Friday is the correct answer for the day of the week on March 1, 2002.

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