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Monte Carlo simulation has been performed to explore the compensation temperature and the critical behavior on a triple layer spin (1-1/2-1) cubic system with ferrimagnetic coupling at the two interfaces. Our results showed that the compensation temperature T c o m p is less influenced by increasing the number of layers or the exchange coupling of the spin 1 2 layer. Gradual increases in the critical temperature T c is shown with increasing the exchange coupling in spin 1 layers or spin 1 2 layer. Finally, the above results have been confirmed by the simulation performed on the heat capacity and Binder cumulant. • The compensation temperature is less influenced by increasing the number of layers. • Compensation temperature disappears for specific values of exchange interaction. • Gradual increases in the critical temperature with increasing the exchange coupling. • Compensation temperature disappears for specific values of exchange interaction. [ABSTRACT FROM AUTHOR]