An art gallery engages a security guard to ensure that the items displayed are…

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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 360o 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.

Grey gallery plan bounded by a concave four-sided outline: upper-left tip, inward central notch, upper-right tip and bottom tip. P is inside the left arm, R inside the right arm. Q and S are below the notch near the central vertical line, with Q above S and S near the bottom tip. Each location is a black dot beside its printed letter.
  1. A.

    P and Q

  2. B.

    Q

  3. C.

    Q and S

  4. D.

    R and S

Attempted by 15 students.

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Correct answer: C

The worked solution is available to enrolled students.

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