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Five cities P, Q, R, S and T are connected by different modes of transport as follows: P and Q are connected by boat as well as rail.
Sand R are connected by bus and boat.
Q and T are connected by air only.
P and R are connected by boat only.
T and R are connected by rail and bus.
 
Q.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? 
  • a)
    Q
  • b)
    R
  • c)
    S
  • d)
    T
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Five cities P, Q, R, S and T are connected by different modes of trans...
Because the node at R leads to S from where there is no other way. So, one has to return to R in any possible way.
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Most Upvoted Answer
Five cities P, Q, R, S and T are connected by different modes of trans...
Explanation:
To determine which place the person must visit twice, we need to analyze the given modes of transport and connections between the cities.

Given connections:
- P and Q are connected by boat and rail.
- R and S are connected by bus and boat.
- Q and T are connected by air only.
- P and R are connected by boat only.
- T and R are connected by rail and bus.

Analysis:
To visit each place starting from P and getting back to P, the person must have a way to travel between each pair of cities and return to P. Let's analyze each city and its connections:

1. P:
- Connected to Q by boat and rail.
- Connected to R by boat only.
- Must visit Q and R.

2. Q:
- Connected to P by boat and rail.
- Connected to T by air only.
- Must visit P and T.

3. R:
- Connected to P by boat only.
- Connected to S by bus and boat.
- Connected to T by rail and bus.
- Must visit P, S, and T.

4. S:
- Connected to R by bus and boat.
- No other direct connections mentioned.
- Must visit R.

5. T:
- Connected to Q by air only.
- Connected to R by rail and bus.
- No other connections mentioned.
- Must visit Q and R.

Conclusion:
Based on the analysis, the person must visit the following cities twice in order to visit each place starting from P and getting back to P:
- Q: Must visit Q when traveling from P to T and again when traveling from T back to P.
- R: Must visit R when traveling from P to S and again when traveling from S to T.

Therefore, the correct answer is option B) R.
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