The letters P, Q, R, S, T and U are to be placed one per vertex on a regular…

GATE · 2022 · EE · General AptitudeGATE · 2022 · MA · General Aptitude

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.

Consider the following statements:

  • The line segment joining R and S is longer than the line segment joining P and Q.

  • The line segment joining R and S is perpendicular to the line segment joining P and Q.

  • The line segment joining R and U is parallel to the line segment joining T and Q.

Based on the above statements, which one of the following options is CORRECT?

  1. A.

    The line segment joining R and T is parallel to the line segment joining Q and S

  2. B.

    The line segment joining T and Q is parallel to the line joining P and U

  3. C.

    The line segment joining R and P is perpendicular to the line segment joining U and Q

  4. D.

    The line segment joining Q and S is perpendicular to the line segment joining R and P

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