2018 AMC 8 Problems/Problem 7
Contents
[hide]Problem
The -digit number is divisible by . What is the remainder when this number is divided by ?
Solution
We use the property that the digits of a number must sum to a multiple of if it are divisible by . This means must be divisible by . The only possible value for then must be . Since we are looking for the remainder when divided by , we can ignore the thousands. The remainder when is divided by is .
If you got stuck on this problem, refer to AOPS Number Theory. You're smart.
-InterstellerApex, Nivaar
Video Solution (CRITICAL THINKING!!!)
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Video Solution by OmegaLearn
https://youtu.be/6xNkyDgIhEE?t=2341
Video Solution
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See Also
2018 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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