$2 x+x=41 \Rightarrow x=\frac{41}{3} \notin N \quad \therefore \quad R$ is not reflexive
$2 x+y=41 \quad \Rightarrow \quad 2 y+x=41 \quad \therefore \quad R$ is not symmetric
$2 x+y=41 \quad$ and $\quad 2 y+z=41 \quad \Rightarrow \quad 4 x-z=41 \Rightarrow(x, z) \notin R$
$\therefore \quad \mathrm{R}$ is not transitive
Above Correct Answer is Option D.