An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard. If the security guard does not move around the posted location and has a 360$$^\circ$$ view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R, and S, where the security guard can be posted to watch over the entire inner space of the gallery.
In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.
Statement of P : R has copied in the exam.
Statement of Q : S has copied in the exam.
Statement of R : P did not copy in this exam.
Statement of S : Only one of us is telling the truth.
Statement of T : R is telling the truth.
The investigating team had authentic information that S never lies. Based on the information given above, the person who has copied in the exam is
The least number of squares that must be added so that the line P-Q becomes the line of symmetry is ______
Which one of the following options maintains a similar logical relation in the above sentence?