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Team A and team B competed in 8 distinct consecutive events. [#permalink]

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11 Sep 2004, 09:08

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Team A and team B competed in 8 distinct consecutive events. The team winning the nth event was given n points, there were no other teams competing, and there were no ties in any event. Did team A receive more points than team B?

(1) Team A won the seventh and eighth events and at least one other event.
(2) Team B won the third, fourth, and fifth events.

I - A has got 15+x points and B has got 21-x points.
A>B if x = 6 or 5 or 4 with one or more wins.
A=B if x = 3 with one or more wins.
A<B if x = 2 or 1 with one win.
Insufficient.

I - A has got 15+x points and B has got 21-x points. A>B if x = 6 or 5 or 4 with one or more wins. A=B if x = 3 with one or more wins. A<B if x = 2 or 1 with one win. Insufficient.

I think the way B is worded is tricky. B only tells us that team B won those 3 events. This means that we know nothing about other events. If such is the case, then E should be the answer. _________________

Paul, I agree that the answer shd be B oon this one. you are thinking too much into the question. There are only two runners and each could win a number of points equal to the nth event.

for the 8 games, the total that both ca win is
1 + 2+3+4+5+6+7+8 = 36
if II says that gives the number of points the other won, we can deduce the number of the other from that.

I tend to agree with Paul. The second condition tells us only the results of third, fourth and fifth events. (Like B won these events). We cannot make an assumption that the other events were all won by A.
Hence the answer should be E

Team A and team B competed in 8 distinct consecutive events. The team winning the nth event was given n points, there were no other teams competing, and there were no ties in any event. Did team A receive more points than team B?

If We know how many points the other team got. befcause there are only two teams and there are no draws, can't we deduce how many points the other team got. I think we shd be. may be i am missing something

From 1)
If team A won game 7,8 and say game 1, then A would have 16 points
This leaves team B with a win at games 2,3,4,5,6 giving them a total of 20 points

However, if Team A won game 6,7,8 = 21 points
Then Team B will have 1,2,3,4,5 = 15 points

So 1) is not sufficient.

From 2) If Team B won game 3,4,5 -> 12 points
Then Team A would have 1+2+6+7+8 -> 24 points