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# In a game a team receives points for three types of scores

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VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
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In a game a team receives points for three types of scores [#permalink]  26 Jul 2004, 06:55
In a game a team receives points for three types of scores only: 5 points, 3 points, and 1 point for scores of types X, Y, and Z, respectively. If the number of scores of type Z that the team made equaled the number of scores of type X that it made, how many scores of type X did the team make?

(1)The team received a total of 60 points.

(2)The team made twice as many types X scores as type Y scores.

Manager
Joined: 19 Jul 2004
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this one is a bomb....i go with E...
the 2 conditions do not agree as per ian777's GMAT ideology...

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To Strive, To Seek and Not to Yield

VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
Followers: 2

Kudos [?]: 166 [0], given: 0

But the OA is C.

Why ?
CIO
Joined: 09 Mar 2003
Posts: 464
Followers: 2

Kudos [?]: 34 [0], given: 0

Karthik wrote:
this one is a bomb....i go with E...
the 2 conditions do not agree as per ian777's GMAT ideology...

Hey Karthik,

Thanks for reading my posts. I'm glad you're taking this to heart, because it is an important point. The two statements in a DS do have to agree.

In this case, though, I think they do. There are 3 variables, x, y, and z, and so we need to have three equations. We get one from the question: z=5x.

Statement 1 gives us another one: 5x + 3y + z = 60.
Statement 2 gives us the third: 2y = x

If you put them all together, you can solve for x (although the answer is certainly not an integer answer - but the question never said it had to be).

So I get C, also.

How did you see it?
Manager
Joined: 19 Jul 2004
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Hi Ian,

If the answer is not an integer, is that okay?
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To Strive, To Seek and Not to Yield

Senior Manager
Joined: 19 May 2004
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C.

5X + 3Y + Z = Total points

1) Insufficient : 60 = 6X + 3Y

2) Insufficient: X=2Y

1+2) Sufficient.

60 = 15Y => Y=4, so X=8.
CIO
Joined: 09 Mar 2003
Posts: 464
Followers: 2

Kudos [?]: 34 [0], given: 0

Karthik,

I wouldn't expect there to be a fractional answer, but it doesn't seem to be a problem.

Dookie, I don't read the question the way you did, but I agree that your way would make the answer an integer. But if the number of points from z equaled the number of points from x, that didn't mean that x = z, it means that 5x=z. I think we would end up with 10x, not 6x.

But either way, it doesn't matter, because it's enough info to solve the problem, integer or not.
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