Latest Infosys Aptitude Question SOLUTION: Q. In mathematica country 1,2,3,4....,8,9 are nine cities. Cities which form a no. that is divisible by 3 are connected by air planes. (e.g. cities 1 & 2 form no. 12 which divisibl

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Q. In mathematica country 1,2,3,4....,8,9 are nine cities. Cities which form a no. that is divisible by 3 are connected by air planes. (e.g. cities 1 & 2 form no. 12 which divisible by 3 then 1 is connected to city 2). Find the total no. of ways you can go to 8 if you are allowed to break the journies

Asked In Infosys BISWAJIT (10 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

Manisha Tripathi  (10 years ago)

Acc to me its 7
Because cities divisible by 3 are- 12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90.
now numbers that include 8 are-18,48,78,81,84,87
because 18 and 81 are same connection so finally we have-18,48,78
now as we have to do break journey so we can reach to 8 by cities related to 1,4,7 thus from 24,54,27,57
thus there are 7 ways(18-1to8,48,78,24-2to4/4to8,54-5to4/4to8,27-2to7/7to8,57-5to7/7to8)

Is this solution Helpfull? Yes (22) | No (6)  

raviteja  (10 years ago)

total routes with different origins are 41
1->2->4->5->7->8
1->2->4->8
1->5->4->2->7->8
1->5->4->8
1->5->7->2->4->8
1->5->7->8
1->8

2->1->5->4->8
2->1->5->7->8
2->1->8
2->4->5->1->8
2->4->5->7->8
2->4->8
2->7->5->1->8
2->7->5->4->8
2->7->8

4->2->1->5->7->8
4->2->1->8
4->2->7->5->1->8
4->2->7->8
4->5->1->2->7->8
4->5->1->8
4->5->7->2->1->8
4->8

5->1->2->4->8
5->1->8
5->1->2->7->8
5->4->2->1->8
5->4->2->7->8
5->4->8
5->7->2->1->8
5->7->8

7->2->1->5->4->8
7->2->1->8
7->2->4->5->1->8
7->2->4->8
7->5->1->2->4->8
7->5->1->8
7->5->4->2->1->8
7->5->4->8
7->8

Is this solution Helpfull? Yes (9) | No (3)  

ritwik verma  (10 years ago)

total 9 ways

Is this solution Helpfull? Yes (7) | No (2)  

Wasim Akram Khan  (10 years ago)

it should be 9

guys 12 and 21 are same similarly 51 and 15 and so on

so the nums which is divisible by 3 are
12
15
18
24
27
36
39
45
48
57
69
78


and the air planes which connect country 8 are


18 48 78
12 45 57
15
24
27

Is this solution Helpfull? Yes (6) | No   

Ranjith Kumar S  (10 years ago)

Correct answer is 5

Is this solution Helpfull? Yes (5) | No   

raviteja  (10 years ago)

cause if u stuck at 3 or 6 u can't go to 8 anyway

Is this solution Helpfull? Yes (3) | No (1)  

Firdous Imam  (10 years ago)

the possible routes are-12,15,18,21,24,27,36,39,42,45,48,51,54,57,63,69,72,75,78,81,84,87,93,96
nowroutes from station 1 to 8 cud be
18,
12-24-48,
12-27-78,
15-54-48,
15-57-78,
routes from station 2 to 8 is
21-18
24-48
27-78
21-15-57-78
21-15-54-48
route 3 to 8...
no route
route 4 to 8 ..
48
42-21-18
42-27-78
45-57-78
...............
route from 6 to 8..
no route
route from 7 to 8
78
75-54-48
75-51-18
72-21-18
72-24-48
...so total 20 routes are possible

Is this solution Helpfull? Yes (2) | No   

Mirza  (10 years ago)

Its 15.
Solution
cities divisible by 3 are- 12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90.
1 -> 8
4 -> 8
7 -> 8
2 -> 4 -> 8
5 -> 4 -> 8
2 -> 7 -> 8
5 -> 7 -> 8
1 -> 2 -> 4 -> 8
7 -> 2 -> 4 -> 8
1 -> 5 -> 4 -> 8
7 -> 5 -> 4 -> 8
1 -> 2 -> 7 -> 8
4 -> 2 -> 7 -> 8
1 -> 5 -> 7 -> 8
4 -> 5 -> 7 -> 8

Is this solution Helpfull? Yes (1) | No (4)  

Setu Shubham  (8 years ago)

ans will be five.

Is this solution Helpfull? Yes (1) | No (1)  

rita  (10 years ago)

how 9 can u explain plz

Is this solution Helpfull? Yes | No   

praveensiva  (10 years ago)

i cant understand..plx explain clearly

Is this solution Helpfull? Yes | No (1)  

sonal jindal  (10 years ago)

why not including station 3 & 6??

Is this solution Helpfull? Yes | No   

nvj  (8 years ago)

5 ways to reach

Is this solution Helpfull? Yes | No (1)  

ssankar  (6 years ago)

5 IS THE CORRECT ANSWER

Is this solution Helpfull? Yes | No (1)  

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