In the present paper, authors study the strange stars with the MIT Bag EoS admitting Buchdahl symmetry (non-singular and physically viable metric potential) in the both linear f (Q) = aQ + b and non-linear f (Q) = Q + aQ b forms of modified symmetric teleparallel gravitation. In order to obtain the correct form of Buchdahl metric coefficients, they matched interior strange star spacetime with the exterior Schwarzschild vacuum spacetime. As a strange star candidate, PSRJ1416-2230 has been used with mass M = 1.69M and radius R = 9.69R . For either linear and non-linear f (Q) gravities, they probed Null, Dominant and Strong Energy Conditions as well as the radial, tangential Equation of State (EoS), gradients of the perfect fluid energy-momentum tensor elements, Tolman-Oppenheimer-Volkoff equilibrium condition, relativistic adiabatic index and causality conditions, surface redshift. It was found that strange stars in the linear and non-linear f (Q) gravity show physically viable behavior, respect energy and causality conditions, has EoS in the bounds 0 ≤ ω ≤ 1 and surface redshift does not exceed 2, as expected.