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Home Verbal Reasoning Routes and Networks See What Others Are Saying!
  • Question
  • Find the total number of paths from city H to city A if condition is that traveling a city more than once is not allowed.


  • Options
  • A. 44
  • B. 55
  • C. 59
  • D. None of these

  • Correct Answer
  • 55 

    Explanation

    Number of paths is as follows:
    Starting from HGB: HGBA, HGBCA, HGBCDA, HGBCEDA, HGBCEFDA (Total 5 paths)
    Starting from HGC: HGCA, HGCBA, HGCDA, HGCEDA, HGCEFDA (Total 5 paths)
    Starting from HGE: HGECA, HGECBA, HGECDA, HGEDCA, HGEDCBA, HGEDA, HGEFDCBA, HGEFDCA, HGEFDA (Total 9 paths)
    Starting from HEG: HEGBA, HEGCBA, HEGCA, HEGCDA (Total 4 paths)
    Starting from HEC: HECGBA, HECBA, HECA, HECDA (Total 4 paths) Starting from HED: HEDCBGA, HEDCBA, HEDCA, HEDA (Total 4 paths)
    Starting from HEF: HEFDCGBA, HEFDCBA, HEFDCBA, HEFDCA, HEFDA (Total 5 paths)
    Starting from HFE: HFEGBA, HFECGBA, HFECBA, HFECA, HFEDCGBA, HFEDCBA, HFEDCA, HFEDA, (Total 8 paths)
    Starting from HFD: HFDEGBA, HFDEGCA, HFDEGBCA, HFDECGBA, HFDECBA, HFDECA, HFDCEBGA, HFDCGBA, HFDCBA, HFDCA, HFDA (Total 11 paths)
    Total number of paths is: 5 + 5 + 9 + 4 + 4 + 4 + 5 + 8 + 11 = 55
    Hence , the total number of paths from city H to city A is 55 .


  • More questions

    • 1. 
      Statement
      Nearly 26% of all engineering graduates have been left unemployed owing to sever recession word-wide.
      Courses of Action.
      I. All the unemployed students should be advised to take up jobs in foreign countries.
      II. The unemployed students should be advised to take up jobs only after the recession is over.

    • Options
    • A. if only I follows
    • B. if only II follows
    • C. if either i or II follows
    • D. if neither I nor II follows
    • Discuss
    • 2. Choose the word which is different from the rest.

    • Options
    • A. Mumbai
    • B. Cochin
    • C. Kandla
    • D. Mysore
    • E. Vishakhapatnam
    • Discuss
    • 3. Two positions of a dice are shown below. When number '1' is on the top. What number will be at the bottom?


    • Options
    • A. 3
    • B. 5
    • C. 2
    • D. 6
    • Discuss
    • 4. Find the odd one out:

    • Options
    • A. Iron
    • B. Potassium
    • C. Sodium
    • D. Chlorine
    • Discuss
    • 5. 
      NA

    • Options
    • A. Bottle : Wine
    • B. Cup : Tea
    • C. Pitcher : Water
    • D. Ball : Bat
    • Discuss
    • 6. 
      Yuan, Kyat, Lira

    • Options
    • A. Dirham
    • B. Turkey
    • C. Madrid
    • D. Mass
    • Discuss
    • 7. Which one of the following is always associated with 'justice'?

    • Options
    • A. Hypocrisy
    • B. Legitimate
    • C. Magnanimity
    • D. Diminutiveness
    • Discuss
    • 8. 
      1/9 : 1/81 :: 3/13?

    • Options
    • A. 1/169
    • B. 1/125
    • C. 1/120
    • D. 1/127
    • Discuss
    • 9. 
      A : Gum : : Worm : B

    • Options
    • A. A. Tree, B. Silk
    • B. A. Loaf, B . Tread
    • C. A, Bottle, B. Insect
    • D. A, Brand, B . Cocoon
    • Discuss
    • 10. 
      NA

    • Options
    • A. Pen
    • B. Marker
    • C. Paper
    • D. Pencil
    • Discuss


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