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  • Question
  • If toll tax at all of the toll booths is same and is devised such that the ratio of maximum cost to minimum cost of travel from X to Y is 28 : 19 then which one of the following is the cost of travel from X to Y through toll Both T3?


  • Options
  • A. 320 or 510
  • B. 330 or 560
  • C. 560 or 510
  • D. None of these

  • Correct Answer
  • 560 or 510 

    Explanation

    If toll tax at all of the toll booths is same and let it be k then expense in each path is as follows:
    Path 1: 240 + 3k
    Path 2: 260 + 5k
    Path 3: 260 + 6k
    Path 4: 260 + 5k
    Path 5: 230 + 3k
    So from the given condition On solving we will get k = 50
    Tool booth 3 will come in Path 3 and Path 4.
    So cost incurred is:
    Path 3: 260 + 6k = 260 + 300 = 560
    Path 4: 260 + 5k = 260 + 250 = 510
    Therefore , 560 or 510 is the cost of travel from X to Y through toll Both T3 .


  • Routes and Networks problems


    Search Results


    • 1. 
      If toll tax is devised in such a way that total cost of travel remains same irrespective of the path then what is the minimum cost of travel from X to Y?

    • Options
    • A. 240
    • B. 260
    • C. 310
    • D. None of these
    • Discuss
    • 2. 
      What is the difference between maximum amount and minimum amount that Mr. Ricky can spend on a day if he wants to travel from his home (X) to office (Y) if toll tax at each toll booth is Rs 50?

    • Options
    • A. 180
    • B. 210
    • C. 240
    • D. None of these
    • Discuss
    • 3. 
      Which one of the following could be the value of toll taxes at T1, T2, T3?............... T8 such that total cost of travel is same irrespective of route?

    • Options
    • A. 50, 10, 0, 10, 60, 20, 0, 10
    • B. 50, 20, 0, 10, 60, 20, 0, 10
    • C. 50, 20, 0, 10, 40, 20, 0, 10
    • D. None of these
    • Discuss
    • 4. 
      If a new path is constructed from T7 to Y then find the total number of paths from X to Y?

    • Options
    • A. 7
    • B. 6
    • C. 8
    • D. None of these
    • Discuss
    • 5. 
      Which nodes should be selected for installation of surveillance cameras?

    • Options
    • A. 3, 6 and 7
    • B. 3, 1 and 4
    • C. 2, 5 ,1 and 4
    • D. None of these
    • Discuss
    • 6. 
      For a route that satisfies the above restrictions, which of the following statements is true?

    • Options
    • A. There is no route that satisfies the above restriction.
    • B. A route can either start at C or end at C, but not both.
    • C. D can be only an intermediate city in the route.
    • D. The route has to necessarily end at E.
    • Discuss
    • 7. 
      How many different starting cities are possible such that the above restriction is satisfied?

    • Options
    • A. One
    • B. Zero
    • C. Three
    • D. Two
    • Discuss
    • 8. 
      What is the distance between A and B?

    • Options
    • A. 5 km
    • B. 6 km
    • C. 7 km
    • D. 8 km
    • Discuss
    • 9. 
      What is the length of route - 2 ?

    • Options
    • A. 11 km
    • B. 12 km
    • C. 13 km
    • D. Insufficient information
    • Discuss
    • 10. 
      What is the number of routes from P to Q?

    • Options
    • A. 5
    • B. 6
    • C. 9
    • D. 12
    • Discuss


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