  A class of strange star is analyzed in the present article in hydrostatic
equilibrium whose state is defined by a CFL phase equation of state. We compare
our result with those obtained from MIT bag equation of state for strange quark
matter which are regarded as free particles. We note that if we consider quarks
to form cooper pair and their description is made by CFL equation of state, the
maximum mass of strange star assumes value as high as 3.61 $M_{\odot}$ which is
well above the value 2.03 $M_{\odot}$ obtained by considering MIT bag equation
of state for massless free quarks. Both the maximum masses are determined by
solving TOV equation for different values of strange quark mass $m_s$. Thus
inclusion of possibility of quark pair formation in the theory permits us to
accommodate a wider class of compact objects like 4U 1820-30, PSR J1614-2230,
PSR J0030+0451, PSR J1903+0327, PSR J0740+6620, PSR J0952-0607 and mass of the
companion star in GW170817 and GW190814 events in our model. The consideration
of such high value of mass is hardly obtainable theoretically from normal
strange star models in General Relativity even with fast rotation effect. The
object PSR J0952-0607 is found to be the fastest and heaviest pulsar in the
disk of Milky Way Galaxy having mass 2.59 $M_{\odot}$ may be predicted in our
model as observational evidence supports the existence of strange quark matter
in its composition.
