Investigating rock failure modes is important for assessing the mitigation steps required to avoid geotechnical risks during engineering work. Since geo-engineering works can extend below the surface level, studying rock failure under confined conditions is vital. Also, from the literature, it is concluded that mechanical behavior varies with changes in loading conditions due to civil or mining activities. Considering this problem, this study conducted experiments on the granite samples from Malanjkhand (Madhya Pradesh, India) under uniaxial and conventional triaxial compression tests at three different confining pressures of 2, 6, and 10 MPa. This range of confining pressure covers the lithostatic pressure varying from the surface level to the depth of approximately 200 m, up to which most of the engineering works occur. For each confining pressure, the specimens were tested at three different rates of 0.5, 1, and 5 mm/min under the displacement-controlled mode of loading, which reflects the change in loading condition from static to quasi-static. The rock failure modes were scrutinized and linked to the combined influence of the change in both confining pressure and displacement rate.