In the lecture note of Bhatt from Arizona winter school 2017, there is an exercise which claims if X is a proper smooth scheme defined over $\mathbb{Z}[1/N]$ and if there is a polynomial $P$ such that for every prime $p$ coprime to $N$ we have $X(F_p)=P(p)$ then the Hodge numbers $h^{i,j}=0,i\not =j $

I do not know how to attack this problem because if you want to use zeta functions and Weil conjectures you need the number of points of X over all finite fields. But I do not have any counter example. So is there a typo in this exercise or can someone hint how to prove the claim ?