General Intelligence · Syllogism

Two statements are given followed by four conclusions. Decide which of the given conclusions logically follows from the statements, disregarding commonly known facts. Statements: Some Linear Equations are Quadratic Equations. All Quadratic Equations are Algebraic Equations. Conclusions: I. All Linear Equations are Algebraic Equations. II. Some Algebraic Equations are Linear Equations. III. Some Algebraic Equations are Quadratic Equations. IV. All Quadratic Equations are Linear Equations.