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Home Verbal Reasoning Routes and Networks See What Others Are Saying!
  • Question
  • 4 cities are connected by a road network as shown in the figure. In how many ways can you start from any city and come back to it without travelling on the same road more than once?


  • Options
  • A. 8
  • B. 12
  • C. 16
  • D. 20

  • Correct Answer
  • 12 

    Explanation

    According to question ,
    It can be seen that every city is connected to all the other cities (i.e. 3 other cities).
    Step 1: Let starting point is A, there are 3 ways in which we could proceed, viz. AB, AD or AC.
    Step 2: Once we are at any of these cities (B, D or C), each one of them is connected to 3 other cities. But since we cannot go back to A the originating city, there are only 2 ways in which we could proceed from here.
    Step 3: let us assume that we are at B, we can only go to D or C by taking BD or BC respectively. From this point we a choice of either directly going back to A (thus skipping 4th city or go to 4th city and come back to A. )
    Step 4:- Now if we are at D, we can either take DA or DCA. So there are 2 more ways to go from here.
    So , total number of ways = 3 x 2 x 2 = 12 ways.


  • More questions

    • 1. The binary system uses powers of

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. None of the above
    • Discuss
    • 2. Find out the odd word/letters/number/number pair from the given alternatives.

    • Options
    • A. 64, 23
    • B. 42, 12
    • C. 63, 18
    • D. 83, 20
    • Discuss
    • 3. Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?

    • Options
    • A. 240 gms
    • B. 280 gms
    • C. 180 gms
    • D. 170 gms
    • Discuss
    • 4. Find the odd word/letters/number pair from the given alternatives.

    • Options
    • A. 443
    • B. 633
    • C. 821
    • D. 245
    • Discuss
    • 5. Find the odd word/letters/number pair from the given alternatives.

    • Options
    • A. RGTF
    • B. MLOK
    • C. CTES
    • D. VDZC
    • Discuss
    • 6. Find the odd word/letters/number pair from the given alternatives.

    • Options
    • A. Swimming
    • B. Sailing
    • C. Diving
    • D. Driving
    • Discuss
    • 7. What does it mean to calculate frequencies within a dataset?

    • Options
    • A. to calculate the product of two variables to make a third variable
    • B. to count the number of cases that fall into different subgroups within a dataset
    • C. to count the number of times a dataset is used by a student
    • D. to calculate the sum of a column of variables in a dataset
    • Discuss
    • 8. The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ?

    • Options
    • A. 6
    • B. 9
    • C. 7
    • D. 5
    • Discuss
    • 9. In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?

    • Options
    • A. 25
    • B. 6
    • C. 32
    • D. 7
    • Discuss
    • 10. If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ?

    • Options
    • A. -3
    • B. -2
    • C. 0
    • D. 1
    • Discuss


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