Directions: The following question consists of certain statements. You have to select the option representing the most logical sequencing of the given statements. A. Line X is perpendicular to line Y. B. Line Y is perpendicular to line Z. C. Line Z is perpendicular to line X. D. Line Z is parallel to line X. E. Line Z and line X is the same line. F. Angle between lines Z and X is π.

Option (4) None of these Let us validate (4) by discussing options (1), (2) & (3) Option (1) FAC F à Angle between lines Z & X is π. A à Line X is perpendicular to line Y. Therefore, a suitable following statement should be that line Z is perpendicular to line Y, instead, C goes like Line Z is perpendicular to line X. It is neglected by sentence F that has marked angle between X & Z to be π. Option (2) ABC A à line X is perpendicular to line Y B à line Y is perpendicular to line Z C à line Z is perpendicular to line X These 3 sentences appear in a flow, each having exactly same sentence except the pair of lines related are different. This is not true. Option (3) ABF A à Line X is perpendicular to line Y B à Line Y is perpendicular to line Z F à Angle between lines Z & X is π Think twice before marking this option as correct answer. No matter this relation is correct mathematically but you cannot presuppose that perpendicular is a property denoting angle between two lines. Thus, it is incorrect.
Therefore, only option (4) is left valid for answer.