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Directions: Read the given information carefully and answer the question that follows.
The given network diagram consists of eight railway stations, where railway station ST–1 represents a railway junction, and the rest represent other stations. The railway lines connecting the various railway stations, represent the tracks on which the trains run and the arrows indicate the direction of trains on tracks. The numbers mentioned alongside some of the arrows indicate the number of trains running on a track on any particular day. It is known that ST–2, ST–3, ST–4, ST–5, ST–6, and ST–8 are just for passage of trains and ST–7 is the only stop at which the journey ends.

The following additional information is known:
No two railway tracks connected to a railway station have the same number of trains running through them in a day.' The number of trains running through each railway track in a day is a positive integer less than 10. The train running on the railway track connecting ST–3 and ST–6 is the least possible number.
What is the total number of trains starting from ST-1?
  • a)
    15
  • b)
    20
  • c)
    22
  • d)
    30
Correct answer is option 'B'. Can you explain this answer?
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Directions: Read the given information carefully and answer the questi...

It is given that the journey ends at ST-7.
So, at every other railway station, the number of trains entering the railway station equals the number of trains leaving the railway station.
At ST-8,
x5 + 8 = 9
x5 = 1
At ST-2,
4 + x4 = 9
x4 = 5
It is given that the flow from ST-3 to ST-6 is the minimum possible.
x9 = 2
At ST-6,
x9 + 9 = x7 + 5
x7 = 6 
The network now appears as below,

At ST-4,
x2 + x8 + 1 = 9
x2 + x8 = 8
But, x2 cannot take values of 3, 4, 1, or 9 (otherwise, it violates the 1st condition given).
Similarly, x8 cannot take 6, 5, 1, 8, or 9.
The possibilities are
x2: 5, 6
x8: 3, 2
At ST-5,
x3 + 6 + 1 = x6 + x8 + 5
x3 + 2 = x6 + x8
From the earlier result, x8 can only have the value 3 or 2.
If x8 is 2, then x3 = x6 which violates the given condition.
x8 = 3
x2 = 5
x3 + 2 = x6 + 3
x3 = x6 + 1
But, x3 and x6 cannot be 1, 2, 3, 4, 5, 6, and x6 also cannot be 8.
The only possibility is x6 = 7 and x3 = 8.
Hence, a total of 20 trains start from ST-1.
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Directions: Read the given information carefully and answer the question that follows.The given network diagram consists of eight railway stations, where railway station ST–1 represents a railway junction, and the rest represent other stations. The railway lines connecting the various railway stations, represent the tracks on which the trains run and the arrows indicate the direction of trains on tracks. The numbers mentioned alongside some of the arrows indicate the number of trains running on a track on any particular day. It is known that ST–2, ST–3, ST–4, ST–5, ST–6, and ST–8 are just for passage of trains and ST–7 is the only stop at which the journey ends.The following additional information is known:No two railway tracks connected to a railway station have the same number of trains running through them in a day. The number of trains running through each railway track in a day is a positive integer less than 10. The train running on the railway track connecting ST–3 and ST–6 is the least possible number.How many trains go from ST-1 to ST-5?

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It is known that ST–2, ST–3, ST–4, ST–5, ST–6, and ST–8 are just for passage of trains and ST–7 is the only stop at which the journey ends.The following additional information is known:No two railway tracks connected to a railway station have the same number of trains running through them in a day. The number of trains running through each railway track in a day is a positive integer less than 10. The train running on the railway track connecting ST–3 and ST–6 is the least possible number.What is the total number of trains starting from ST-1?a)15b)20c)22d)30Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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