Several schemes under the framework of Dual RSA have been proposed by Sun et al (IEEE-IT, August 2007). We here concentrate on the Dual CRT-RSA scheme and present certain range of parameters for which this is insecure. As a corollary of our work, we prove that the Dual Generalized Rebalanced-RSA (Scheme III of Sun et al) can be e ciently broken for a signi cant region where the scheme has been claimed to be secure.