Problem 5 · 2023 Math Kangaroo
Medium
Number Theory
divisibilitymod-10
Today is Thursday. What day of the week is it in 2023 days?
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Answer: C — Thursday
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Hint 1 of 2
The days of the week repeat every 7 days.
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Hint 2 of 2
Find the remainder when 2023 is divided by 7.
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Approach: count days modulo 7
- Days repeat with period 7, so only 2023 mod 7 matters.
- 2023 = 7 · 289, which leaves remainder 0.
- A whole number of weeks lands on the same weekday.
- So it is still Thursday.
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