Analytical - In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an air

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In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an airflight route is to be established between two cities such that the numeral formed is divisible by 3. (eg. if 1 and 2 are connected then it satisfies the condition). Find out the number of cities which are connected to city 8, either directly or indirectly.

5 cities

Total Answers and Comments: 36

Last Update: July 17, 2009

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Submitted by: rohit

1-8,4-8,7-8,2-4-8,5-1-8

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August 10, 2005 02:44:48

sankar

RE: In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an air...

3rd anal

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August 16, 2005 01:23:47

rohit

RE: In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an air...

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

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August 19, 2005 01:10:51

Srujana

RE: In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an air...

ans by rohit looks wrong...
wat bout the combinations like:1-2-8 2-7-8 3-6-8 3-9-8 etc???

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September 03, 2005 13:49:41

Vijay

RE: In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an air...

Hi srujana
The combinations you have specified are not divisible by 3. so they are not considered. so the answer 5 is correct.

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September 06, 2005 10:40:26

antolo

RE: In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an air...

1-8 4-8 7-8
2-1-8 5-4-8
The divisiblity of 3 will be only for 2 no. and not three.
so according to the above routes 1 4 7 2 5 are connected either directly or indirectly.

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September 10, 2005 01:06:55

Julius Thomas

RE: In a maThematic there are 1,2,3,....9 cities and each number corresponds to a city. Now an air...

All the other 8 cities r connected either directly or indirectly. 8-1 8-4 8 7 8-1-3 8-2-5 8-5-2 9-1-7 8-1-6

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September 13, 2005 03:21:05

shiv

RE: In a maThematic there are 1,2,3,....9 cities ...

there are 9 cities interlinked directly or indirectly1-84-87-82-1-82-4-82-7-85-4-85-1-85-7-8

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September 27, 2005 01:37:18

Prasanna

RE: In a maThematic there are 1,2,3,....9 cities ...

The Possible routes are:

18 - 81
28 - 82
38 - 83
48 - 84
58 - 85
68 - 86
78 - 87
98 - 89

With the condition 5 routes are possible

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September 29, 2005 02:02:54

swathi

RE: In a maThematic there are 1,2,3,....9 cities ...

8 cities

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October 04, 2005 05:49:55

#10

anil

RE: In a maThematic there are 1,2,3,....9 cities ...

I feel the correct answer is 5.

Direct Linkages:

1-8 4-8 7-8 cities 1 4 7

Indirect Linkages

2-1-8 5-1-8 2-4-8 5-4-8 2-7-8 5-7-8 2 more cities... 2 5

Finally the cities that may be linked are 1 4 7 directly and 2 5 indirectly...thank you

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