The purpose of this study is to propose a reliable multiple-choice or multiple-response assessment generation procedure. A question of the assessment passing threshold selection is considered. The study uses simulation for the test outcomes distribution evaluation which is used for the assessment passing threshold calculation. The relation between the number of answers and distractors in a task and assessment reliability is shown. The reliable assessment generation procedure based on simulation and statistics is proposed. The web application for students testing purposes based on the proposed approach is implemented. The proposed method can be used for online studying as well as offline ones.