ps coordinate and someother problem

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 183
Joined: Wed Feb 09, 2011 3:08 am
Location: Delhi
Thanked: 1 times
Followed by:5 members

ps coordinate and someother problem

by alltimeacheiver » Fri Feb 11, 2011 2:57 am
For a certain race, 3 teams were allowed to enter 3 members each. A team earned
6-n points whenever one of its members finished in nth place, where 1<=n <=5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

The graph of which of the following equations is a straight line that parallel to line I in the figure above? Points are (0,2), (-3,0)

(A) 3y "C 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y "C 3x = 6
(E) 2y + 3x = -6
Source: — Problem Solving |

User avatar
Master | Next Rank: 500 Posts
Posts: 155
Joined: Mon Dec 13, 2010 11:02 am
Thanked: 3 times

by towerSpider » Fri Feb 11, 2011 3:08 am
alltimeacheiver wrote:For a certain race, 3 teams were allowed to enter 3 members each. A team earned
6-n points whenever one of its members finished in nth place, where 1<=n <=5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
total points:
1+2+3+4+5 = 30/2 = 15

suppose two temas won 6 and 6:
a5,b4,C3,b2,a1

D is answer.
People are not prisoners of fate, but prisoners of their own mind.

Legendary Member
Posts: 1337
Joined: Sat Dec 27, 2008 6:29 pm
Thanked: 127 times
Followed by:10 members

by Night reader » Fri Feb 11, 2011 4:16 am
also D here, with a bit diff. solution
1st team: WIN-WIN-WIN <> 1,2,3 places
2nd team: LOOSE-LOOSE-LOOSE <> 4,5,6 places

the lowest scoring team No 2 --> n<=5 {n=4,5}; score calc --> 6-4 + 6-5=3
towerSpider wrote:
alltimeacheiver wrote:For a certain race, 3 teams were allowed to enter 3 members each. A team earned
6-n points whenever one of its members finished in nth place, where 1<=n <=5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
total points:
1+2+3+4+5 = 30/2 = 15

suppose two temas won 6 and 6:
a5,b4,C3,b2,a1

D is answer.