Problem Solving

Please, check this out:



I had no idea about where to start.

Thanks
Silvia

Lets line up the players,

Player position 1 2 3 4 5 6 7 8 9
Points 5 4 3 2 1
Team A B C B A

The teams have been allocated such that two teams reach ascore of 6 so that the third team has the least score which is 3.

mj78ind wrote:Lets line up the players,

Player position 1 2 3 4 5 6 7 8 9
Points 5 4 3 2 1
Team A B C B A

The teams have been allocated such that two teams reach ascore of 6 so that the third team has the least score which is 3.

Clear explanation mj78ind ...
Actually, reading "3 teams were allowed to enter 3 members each" was a lillte messy to me, it should have said: "3 teams had 3 members each" ...
Thanks for your time.

Silvia

Hi Silvia,

As a general rule, if you are asked to find the 'least' that a value can be, maximize all the other values. Conversely, if you're trying to find the 'most' that a value can be, minimize all the other values.

In this case, to find the least possible score that a team could have earned, maximize the other teams' scores. In this case, we're told that the max for any team is 6 points. So the question can simply be restated as "if team A and team B earn 6 points each, what will be team C's score?"

To represent this clearly, a table would work. Essentially team A can earn 5 (1st place finish) and 1 (5th place). Team B can earn 4 (2nd place finish) and 2 (4th place). Therefore team C will have a member finish 3rd place and earn 3 points. The other team C member will finish last and earn no point.

The least possible score for a team is 3 points. The answer is D.

An illustration (table) and a video solution are available at GMATPrep Question 1580. To practice similar questions, set topic='Functions & Sequences' and difficulty='500-600' in the Drill Engine.

Hope this helps,
-Patrick

Patrick_GMATFix wrote:Hi Silvia,

As a general rule, if you are asked to find the 'least' that a value can be, maximize all the other values. Conversely, if you're trying to find the 'most' that a value can be, minimize all the other values.

In this case, to find the least possible score that a team could have earned, maximize the other teams' scores. In this case, we're told that the max for any team is 6 points. So the question can simply be restated as "if team A and team B earn 6 points each, what will be team C's score?"

To represent this clearly, a table would work. Essentially team A can earn 5 (1st place finish) and 1 (5th place). Team B can earn 4 (2nd place finish) and 2 (4th place). Therefore team C will have a member finish 3rd place and earn 3 points. The other team C member will finish last and earn no point.

The least possible score for a team is 3 points. The answer is D.

An illustration (table) and a video solution are available at GMATPrep Question 1580. To practice similar questions, set topic='Functions & Sequences' and difficulty='500-600' in the Drill Engine.

Hope this helps,
-Patrick

Hey Patrick ! .. sure it helps ... I'm going to check some more questions like this.
Thanks
Silvia.