Difference between revisions of "AIME 2020(MOCK) Problems"
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==Problem 4== | ==Problem 4== | ||
| − | Let <math>\lfloor \ x \rfloor</math> | + | Let <math>\lfloor\x\rfloor</math> denote the greatest integer less than or equal to <math>x</math>. What is the tens digit of $\lfloor\frac{10^{2020}}{10^{101} + 7} |
Revision as of 22:06, 25 June 2020
Contents
Problem 1
Let 
be 
. What is the remainder when is divided by 
?
Problem 2
Let 
be a set of polynomials 
with integral coefficients such that the roots of are 
, 
, and 
. What is the least possible sum of the coefficients of ?
Problem 3
How many 
digit base 
positive integers consist of exactly 
pairs of consecutive 
s but no 
consecutive 
s?
Problem 4
Let $\lfloor\x\rfloor$ (Error compiling LaTeX. Unknown error_msg) denote the greatest integer less than or equal to 
. What is the tens digit of $\lfloor\frac{10^{2020}}{10^{101} + 7}
