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Interpretation of Table

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Director
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Interpretation of Table [#permalink] New post 15 Feb 2011, 11:20
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

71% (01:14) correct 29% (00:23) wrong based on 7 sessions
City A City B City C City D City E City F
City A
City B
City C
City D
City E
City F
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In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?
15
21
25
30
36
[Reveal] Spoiler: OA

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Re: Interpretation of Table [#permalink] New post 15 Feb 2011, 11:24
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Look at this question as a Combination question :)

If you want to show the mileage between two cities, you have to select 2 out of the 6 cities given.
the total number of selections would be 6C2 = 15

Total number of Entries = 15
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Re: Interpretation of Table [#permalink] New post 15 Feb 2011, 20:32
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Other than using combinations, you could see the chart has 6*6 = 36 entries. Diagonal is the distance from A to A, B to B etc so we can remove 6, leaving 30. Each has a duplicate so divide by 2 = 15
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Re: Interpretation of Table [#permalink] New post 19 Apr 2011, 18:50
I did this one by counting rows in starting from each column, and decreasin succesively by 1. So A has 5 entries, B has 4 and so on..

The answer is = 15

Answer - A
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Re: Interpretation of Table [#permalink] New post 19 Apr 2011, 19:16
Easy way to go about this problem is we have 6*6 = 36 enteries in table the least number of enteries would be (36 - 6) /2 since 6 enteries represent the distances between same points .

Alternatively this can be solved as combination problem.

Correct Answer A
Re: Interpretation of Table   [#permalink] 19 Apr 2011, 19:16
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