2019 AMC 10A Problems/Problem 2
Contents
[hide]Problem
What is the hundreds digit of
Solution 1
Because we know that is a factor of and , the last three digits of both numbers is a , this means that the difference of the hundreds digits is also .
Solution 2
We can clearly see that , so meaning that the last two digits are equal to and the hundreds digit is .
--abhinavg0627
Solution 3 (Brute Force)
Then, we see that the hundreds digit is .
~dragoon
Please do not do this and only use this solution as a last resort.
Video Solution by Education, the Study of Everything
~Education, The Study of Everything
Video Solution by WhyMath
~savannahsolver
Video Solution by OmegaLearn
https://youtu.be/zfChnbMGLVQ?t=3899
~pi_is_3.14
See Also
2019 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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All AMC 10 Problems and Solutions |
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