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# Paper test 42- table question

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Senior Manager
Joined: 25 Nov 2006
Posts: 333

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Schools: St Gallen, Cambridge, HEC Montreal
Paper test 42- table question [#permalink]

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18 Jan 2009, 06:59
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The table above shows the cost, in dollars, of traveling to and from cities A, B, C, D, E and F. A sales representative wants to leave from A, travel to C, E and F, and return to A. If the first city that the sales representative travels to must be E, what is the minimum possible cost for the entire trip?

A- 13
B- 14
C- 16
D- 18
E- 20

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Senior Manager
Joined: 25 Nov 2006
Posts: 333

Kudos [?]: 70 [0], given: 0

Schools: St Gallen, Cambridge, HEC Montreal
Re: Paper test 42- table question [#permalink]

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18 Jan 2009, 07:07
I know a way to solve this, but it's not very effective:

Total cost of the trip:A-E-B-C-D-F-A
Total cost of the trip:A-E-B-D-C-F-A
Total cost of the trip:A-E-B-D-F-C-A
Total cost of the trip:A-E-B-C-D-F-A
...
and so on until you get all the possibilities.

There must be a better solution that than. Does anyone know?

Kudos [?]: 70 [0], given: 0

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [0], given: 19

Re: Paper test 42- table question [#permalink]

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18 Jan 2009, 09:11
lumone wrote:
I know a way to solve this, but it's not very effective:

Total cost of the trip:A-E-B-C-D-F-A
Total cost of the trip:A-E-B-D-C-F-A
Total cost of the trip:A-E-B-D-F-C-A
Total cost of the trip:A-E-B-C-D-F-A
...
and so on until you get all the possibilities.

There must be a better solution that than. Does anyone know?

Do only for the cities (from A to E to either C or F to A) that the sales person goes. There are only two possibilities:

1: Total cost of the trip: A-E-C-F-A = 7+2+4+3 = 16
2: Total cost of the trip: A-E-F-C-A = 7+6+4+3 = 20

select the lower.

Editied for typo: C-F = 4 not 6.
_________________

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GT

Kudos [?]: 843 [0], given: 19

SVP
Joined: 28 Dec 2005
Posts: 1545

Kudos [?]: 179 [0], given: 2

Re: Paper test 42- table question [#permalink]

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18 Jan 2009, 12:57

A->E = 7
E->C = 2
C->F = 4
F->A = 3

Total is 16

Kudos [?]: 179 [0], given: 2

Senior Manager
Joined: 25 Nov 2006
Posts: 333

Kudos [?]: 70 [0], given: 0

Schools: St Gallen, Cambridge, HEC Montreal
Re: Paper test 42- table question [#permalink]

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18 Jan 2009, 14:09
16 is the OA

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Re: Paper test 42- table question   [#permalink] 18 Jan 2009, 14:09
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