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Question

Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.

If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?

The correct answer is

A

Now, route between G and C is closed. Hence, we get: Now while travelling from H to C, one must take the route: HGBFDEC Hence, one may not pass through A.

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Important Questions from Problem on Trains

  1. A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?

  2. The length of a train and that of a platform are equal. If with a speed of 108 km/hr the train crosses the platform in one minute. Then the length of the train (in metres) is:

  3. A train can cross a pole and a bridge 75 meters long in 10 seconds and 25 seconds respectively. Find the length of the train.

  4. A 275 metre long train crosses a platform of equal length in 33 seconds. What is the speed of the train in kmph?

  5. A train 120 m long travels 60 km. per hour. It crosses the bridge in 24 seconds. What is the length of the bridge in metres?

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