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We give a positive answer to the questions 4.4 on Hodge type and 4.2 ondivisibility of the eigenvalues of Frobenius of the article by N. Fakhruddinand C. S. Rajan (NT/0402230).

Appendix to ``Congruences for rational points on varieties over finite fields'' by N. Fakhruddin and C. S. Rajan