Math: logic needed only, but boy, anyone who can do this has a high IQ
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Math: logic needed only, but boy, anyone who can do this has a high IQ

[From: ] [author: ] [Date: 12-10-31] [Hit: ]
loss possibilities for each team given their scores.Then draw a table with the team names along the vertical and horizontal.The intersecting cells is where you put a W for awin, a T for a tie an an L for a loss.Once you have this table, you can determine the only possible combination of wins,......
http://www.admissionstests.cambridgeasse…

question 14

NO calculator allowed

answer : c

i am looking for the method to do this :)

ty guys

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First, determine the win, tie, loss possibilities for each team given their scores.
Then draw a table with the team names along the vertical and horizontal. The intersecting cells is where you put a "W" for a win, a "T" for a tie an an "L" for a loss. Once you have this table, you can determine the only possible combination of wins, ties and losses, and thus deduce the points East won.

Central - 2 points
East - x points (unknown, to be determined)
North - 8 points
South - 5 points
West - 1 point

Determine how each team's points could have been won given that a win is 3 points, a tie is 2 points and a loss is 0 points.

Each team plays each of the other teams once.

For example,
Central - 2 points. The only way that can happen is for Central to have gotten no wins, 2 ties and 2 losses.

North - 8 points. That happened with 2 wins, 2 ties and no losses.

South - 5 points. That happened with one win, 2 ties and no losses

West - 1 points. That happened with 1 tie.

Laying those results out in the table, you can see what East's record was. It's just a matter of careful housekeeping and laying out the proper combinations of W, T, and L for each team against each other. GOOD LUCK!

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The way I did it was:
Look at each teams total points:
Central 2 2 draws and 2 losses
Eastern █
Northern 8 2 wins and 2 draws
Southern 5 2 draws 1 win 1 loss
Western 1 1 draw and 3 losses

There are 6 losses and only 3 wins, so East must have won the balance of 3
East now has 9 points, and cannot have won the other game. the only reasonable of points is 10
(ie he cannot get 12 and has more than 5)
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