Question 10
How many of the first $1000$ positive integers can be expressed in the form $$
\lfloor2x\rfloor+\lfloor4x\rfloor+\lfloor6x\rfloor+\lfloor8x\rfloor,
$$ where $x$ is a real number, and $\lfloor z\rfloor$ denotes the greatest integer less than or equal to $z?$
\lfloor2x\rfloor+\lfloor4x\rfloor+\lfloor6x\rfloor+\lfloor8x\rfloor,
$$ where $x$ is a real number, and $\lfloor z\rfloor$ denotes the greatest integer less than or equal to $z?$