Weekdays.. :D

Algebra Level 2

In a certain year, January had exactly four Tuesdays and four Saturdays. On what day did January 1 fall that year?

Saturday Monday Wednesday Friday

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2 solutions

Christian Daang
Oct 19, 2014

if there are 4 tuesdays and 4 saturdays:

31 - 6 = 25 - 7 = 18 - 7 = 11 - 7 = 4 - 1 = 3

From Saturday, going back 3 days, it will fall to Wednesday.

Final Answer: Wednesday.

Sunil Pradhan
Dec 9, 2014

In case of month having 31 days, the days which fall on date 1, 2 and 3 repeats 5 times.

In case of month having 30 days, the days which fall on date 1 and 2 repeats 5 times.

In case of month having 29 days, the day which fall on date 1 repeats 5 times.

In above case from Sat to Tues days repeats 4 times means date 4 is on Saturday. Then date 1 was on Sat – 3 = Wednesday.

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