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Group Question
Answer the following question based on the information given below.
The hostels in a management institute are named after rivers. One can reach the destination hostel, only via the intermediate hostel specified in the table below, which also gives the least time required to move from the intermediate hostel to destination hostel. 
If Vikram starts from hostel Tapti and has to come back to it after crossing all the hostels at least once, then what is the minimum possible time that he would take?
  • a)
    51 minutes
  • b)
    46 minutes
  • c)
    75 minutes
  • d)
    49 minutes
Correct answer is option 'B'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information g...
Since Vikram starts from Tapti and has to come back to it, note that he can go from Tapti to either Narmada or Sarayu but he can come to Tapti only through Saravathi.
Therefore, work backwards and trace his route.
The only way to reach Tapti is through Saravathi.
Similarly, the only way to reach Saravathi is through Brahmnaputra.
Therefore, Vikram definitely travels along Brahmaputra- Saravathi-Tapti i.e. 4 + 10 = 14 minutes.
Now, Vikram can reach Brahmaputra through either Cauvery or Narmada.
Also, note that Vikram can reach Narmada only in one way but can reach Sarayu in two ways (either from Tapti or from Krishna).
Therefore, Vikram definitely goes from Tapti to Narmada and takes 10 minutes in doing so.
Thus, Vikram definitely spend 14 + 10 = 24 minutes.
Only the remaining time can be minimised.
Since Vikram can reach Brahmaputra in 2 ways.
Case 1 : Vikram reaches Brahmaputra directly through Narmada.
The only route possible satisfying all these conditions is: Narmada - Brahmaputra - Krishna - Sarayu - Cauvery - Brahmaputra.
This route takes 6 + 4 + 5 + 5 + 3 = 23 minutes Case 2 : Vikram reaches Brahmaputra through Cauvery.
The shortest route possible satisfying all these conditions is: Narmada - Cauvery - Krishna - Sarayu - Cauvery - Brahmaputra.
This route takes 6 + 3 + 5 + 5 + 3 = 22 minutes Thus, to minimise the time, the route that Vikram should take is:
Tapti —> Narmada —> Cauvery —> Krishna —► Sarayu —► Cauvery -> Brahmaputra -> Saravathi —> Tapti The minimum time taken by Vikram = 10 + 2 2 + 14 = 46 minutes Hence, option 2.
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Group QuestionAnswer the following question based on the information given below.The hostels in a management institute are named after rivers. One can reach the destination hostel, only via the intermediate hostel specified in the table below, which also gives the least time required to move from the intermediate hostel to destination hostel.If Vikram starts from hostel Tapti and has to come back to it after crossing all the hostels at least once, then what is the minimum possible time that he would take?a)51 minutesb)46 minutesc)75 minutesd)49 minutesCorrect answer is option 'B'. Can you explain this answer?
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