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Problem 435

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

7. Find the remainder when the number 20172017... 2017 (2017 written 100 times) is divided by 8.

Your answer

Official solution

Answer: 1

8. MN and $\mathrm{PQ}$ are two parallel chords located on opposite sides of the center of a circle with radius $10 . \mathrm{MN}=12, \mathrm{PQ}=16$ . Find the distance between the chords.

Answer: 14

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.