Connection of cities

Five cities \(P,Q,R,S,T\) are connected by different modes of transport as follows

  • \(P\) and \(Q\) connected by boat as well as rail.
  • \(S\) and \(R\) connected by bus and boat.
  • \(Q\) and \(T\) connected by air only.
  • \(P\) and \(R\) connected by boat only.
  • \(T\) and \(R\) connected by rail and bus.

If a person visits each of the places starting from \(P\) and gets back to \(P,\) which of the following places must he visit twice?

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