Skip to content / Đến nội dung
ThichHocToan.com

2016 AMC 10A Question 4

AMC10 · 2016 AMC 10A

Question 4

The remainder function can be defined for all real numbers $x$ and $y$ with $y \neq 0$ by $$
\operatorname{rem}(x,y)=x-y\left\lfloor\frac{x}{y}\right\rfloor,
$$ where $\left \lfloor \frac{x}{y} \right \rfloor$ denotes the greatest integer less than or equal to $\frac{x}{y}.$ What is the value of $\text{rem} \left(\frac{3}{8}, -\frac{2}{5} \right)?$
  1. $-\dfrac{3}{8}$
  2. $-\dfrac{1}{40}$
  3. $0$
  4. $\dfrac{3}{8}$
  5. $\dfrac{31}{40}$