After winning 80 percent of the first 40 games it played

Question

After winning 80 percent of the first 40 games it played, Team A lost all the remaining games it played. How many total games did Team A play?

(1) Team A lost all of its games against Team B, which won 75 percent of its total games.
(2) Team A lost exactly 1/3 of all the games it played.

Bunuel · Accepted Answer

After winning 80 percent of the first 40 games it played, Team A lost all the remaining games it played. How many total games did Team A play?

Team A lost 0.2*40=8 of the first 40 games and  all the remaining games , say x. So, total games lost is 8+x and total games played is 40+x.

(1) Team A lost all of its games against Team B, which won 75 percent of its total games. Clearly not sufficient.

(2) Team A lost exactly 1/3 of all the games it played --> 8+x=1/3*(40+x), only one unknown, hence we can solve for it. Sufficient.

Answer: B.

Hope it's clear.

boomtangboy · Answer

Hi,

I used a tabular format as mentioned below
- - 40 Games - - X-40 Games
Won - - 32 -------0
Lost- - 8 ---------X-40

Statement 1 : We have no clue if Team A played B C D E hence insufficient
Statement 2 : X/3 = 8 + X - 40 
Sufficient 
Thus B

Hope this helps

iamvishnu · Answer

Won-32 lost-8. Now, rest all loose then 8+X. Total-40+x. Stmt1 insufficient bcoz- no information about team B games.,….. stamnt-2 (40+x)/3=x+8. We can solve for x

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gemministorm · Answer

For statement A, as it's mentioned A lost all it's match against B so took it for only A and B existed and calculated
0.75(40+x) = x

and B was sufficient.... So I marked C....

how do I not make assumptions like above....

Bunuel · Answer

Your doubt comes from assuming that Team A played only against Team B. Statement (1) never says that. It only tells us that A lost all games vs B and that B won 75% of its total games. Since A could also have played other teams, we cannot solve for the total games from this information. That’s why Statement (1) is not sufficient.

mattisweb · Answer

It should say "Game can only be won or lost" for this solution to be valid. Else it is E.

After winning 80 percent of the first 40 games it played

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