  We consider the ${\cal N}=1$ $SU(N_c)$ SQCD-like (direct) theory (and its
Seiberg's dual with $SU(N_F-N_c)$ dual colors), and with $N_F$ flavors of light
quarks ${\overline Q}_j, Q^i$ with the mass term in the superpotential $m_Q{\rm
Tr}({\overline Q} Q),\,\, m_Q\ll\Lambda_Q$. Besides, there are $N_F^2$
additional colorless but flavored fields $\Phi^j_i$ with the large mass
parameter $\mu_{\Phi}\gg\Lambda_Q$. But now considered is the region
$N_c+1<N_F<3N_c/2$ where the UV free direct $SU(N_c)$ theory is strongly
coupled at scales $\mu<\Lambda_Q$.
  The mass spectra of this direct theory in various vacua and at different
values of $\mu_{\Phi}\gg\Lambda_Q$ are calculated within the dynamical scenario
introduced by the author in [10]. This scenario assumes that quarks in such
${\cal N}=1$ SQCD-like theories can be in two standard phases only. These are
either the HQ (heavy quark) phase where they are confined or the Higgs phase.
  It is shown that due to the strong power-like RG evolution, the seemingly
heavy and dynamically irrelevant at scales $\mu<\Lambda_Q$ fields $\Phi^j_i$
can become light and relevant at lower energies, and there appear then two
additional generation of light $\Phi$-particles with masses $\mu_{2,3}^{\rm
pole}(\Phi)\ll\Lambda_Q$.
  The calculated mass spectra of this strongly coupled at $\mu<\Lambda_Q\,
SU(N_c)$ theory are compared to those of its weakly coupled at $\mu<\Lambda_Q$
Seiberg's dual $SU(N_F-N_c)$ variant and appeared to be parametrically
different. It is worth to recall that the dynamical scenario from [10] used in
this article satisfies all those tests which were used as checks of the Seiberg
hypothesis about the equivalence of the direct and dual theories. This
parametrical difference shows, in particular, that all these tests, although
necessary, may well be insufficient.
