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If TheSituation's average score for three games of pinball

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If TheSituation's average score for three games of pinball  [#permalink]

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New post 23 May 2010, 11:38
1
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (00:56) correct 30% (01:00) wrong based on 39 sessions

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If TheSituation's average score for three games of pinball was 57, what was his highest score?

(1) The sum of TheSituation's two lowest scores was 107.
(2) The sum of TheSituation's three scores was 171.

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Re: If TheSituation's average score for three games of pinball  [#permalink]

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New post 23 May 2010, 13:14
TheSituation wrote:
If TheSituation's average score for three games of pinball was 57, what was his highest score?

1. The sum of TheSituation's two lowest scores was 107.
2. The sum of TheSituation's three scores was 171.



I'm calling mularkey on the OA here. What do you guys get?



Should be A,

From st1 you can calculate the highest score, but St 2 is saying the same thing in other words
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Re: If TheSituation's average score for three games of pinball  [#permalink]

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New post 23 May 2010, 13:47
Obviously I'm missing something here. When I analyze for stmt 1, I get:

let x = score of third game.

(107 + x)/3 = 57

solve for x = 64.

Now the sum for the two lowest = 107, but the combo could be anything. Ie. 106, 1 OR 50,57. How can you tell what is the highest score then. Insufficient.

Stmt 2 says the same thing as the first.

Therefore I answer E.

I have this gut feeling like I'm totally overlooking a small piece of info here that is making me confused.
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Re: If TheSituation's average score for three games of pinball  [#permalink]

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New post 23 May 2010, 13:54
TheSituation wrote:
Obviously I'm missing something here. When I analyze for stmt 1, I get:

let x = score of third game.

(107 + x)/3 = 57

solve for x = 64.

Now the sum for the two lowest = 107, but the combo could be anything. Ie. 106, 1 OR 50,57. How can you tell what is the highest score then. Insufficient.

Stmt 2 says the same thing as the first.

Therefore I answer E.

I have this gut feeling like I'm totally overlooking a small piece of info here that is making me confused.
\

See the highlighted part, it already says that the sum for 2 lowest values...!
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Re: If TheSituation's average score for three games of pinball  [#permalink]

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New post 23 May 2010, 14:02
statement 2 tells you nothing. If we know the average is 57 and there are 3 scores we know the total number of points so thus the answer can only be either A or E

statement 1: Since we can derive the total amount of point accumulated and we know the points of the first two we subtract these two to we get the answer

so A
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Re: If TheSituation's average score for three games of pinball  [#permalink]

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New post 23 May 2010, 14:29
Dammit! Your right.

I overthink these things sometimes, getting paranoid about traps/tricks and whatnot. In the process, I can miss little things like this.

Thanks bros!
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Re: If TheSituation's average score for three games of pinball  [#permalink]

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New post 10 Apr 2019, 06:02
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Re: If TheSituation's average score for three games of pinball   [#permalink] 10 Apr 2019, 06:02
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