1988 AMC 8 Problem 10

Attempt Problem 10 of the 1988 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1988 AMC 8 solutions, or check the answer key.

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10.

Chris' birthday is on a Thursday this year. What day of the week will it be 6060 days after her birthday?

Monday

Wednesday

Thursday

Friday

Saturday

Answer: A
Concepts:modular arithmeticdate and time

Difficulty rating: 820

Solution:

Days of the week repeat every 77 days. Since 60=8×7+4,60 = 8 \times 7 + 4, the day 6060 days later is 44 days after Thursday.

Counting forward from Thursday: Friday, Saturday, Sunday, Monday. So it is a Monday.

Thus, the correct answer is A .

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