What day is it?
Number Theory
Level
1
Suppose that today is Monday. What day of the week will it be in 234 days?
Details and assumptions
In 1 days' time, it will be Tuesday.
Sunday
Tuesday
Friday
Saturday
Wednesday
Thursday
Monday
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1 solution
The days of the week is periodic, and repeats every 7 days. Hence, we we are concerned with the remainder when 234 is divided by 7. So, we have 2 3 4 = 7 × 3 3 + 3 . Since today is Monday, 3 days later will be Thursday. So in 2 3 4 = 7 × 3 3 + 3 days, it will be Thursday.
Thus, the answer is 4.