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Consider a network with nodes 1, 2, 3, 4, 5 and 6. The nodes are connected with directed arcs as shown in the table below. The respective costs (in INR) incurred while traversing the directed arcs are also mentioned.

     

Directed arcs

Cost (in INR)

1 $\rightarrow$2

3

1 $\rightarrow$ 3

9

2 $\rightarrow$4

3

2 $\rightarrow$5

2

3 $\rightarrow$2

2

3 $\rightarrow$4

4

3 $\rightarrow$5

8

4 $\rightarrow$5

7

4 $\rightarrow$6

2

5 $\rightarrow$6

2

      The second shortest path from node 1 to node 6 (i.e. the path that has the second least total cost and does not use any part of the shortest path) has  total cost (in INR) of                                                                         

      (a) 7                                (b) 8                             (c) 15                              (d)  19

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