2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70477We give a positive answer to the questions 4.4 on Hodge type and 4.2 on divisibility of the eigenvalues of Frobenius of the article by N. Fakhruddin and C. S. Rajan (NT/0402230).4 pagesNumber TheoryAlgebraic GeometryAppendix to "Congruences for rational points on varieties over finite fields" by N. Fakhruddin and C. S. Rajantext