Objective: The objective of the current study is to deal with magnetohydrodynamic (MHD) nanoliquid flow over moving vertical plate with variable Prandtl numbers and viscosities. This analysis also includes the influence of thermal radiation. Quite significant variation in viscosity and Prandtl number in highrange temperature is observed. Thus, Prandtl number and viscosity are surmised to vary as an inversely proportional linear function of temperature. Problem definition: The MHD nanoliquid flow is considered along with the semi-infinite plate with the velocity U w toward the x-direction, which is also the direction for free-stream velocity ∞ U (). The geometrical sketch of the physical problem with the coordinate system is shown in Figure 1. The coordinate system has two coordinate axes: the ξ-coordinate (x) and η-coordinate (y). They are perpendicular to each other. The mathematical modeling of physical problem has been formulated by incorporating viscous terms into the governing equation related to thermal radiation, buoyant force, Brownian motion, thermophoresis, and magnetic parameter. Methodology: The mathematical modeling of current physical problem consists of highly nonlinear partial differential equations which have been solved numerically using quasilinearization technique along