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Please Help OG 12 Problem Solving #129

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Please Help OG 12 Problem Solving #129 [#permalink] New post 14 May 2010, 16:42
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A
B
C
D
E

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(N/A)

Question Stats:

50% (01:18) correct 50% (00:00) wrong based on 2 sessions
On recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between
A) 290/12.5 and 290/11.5
B) 295/12 and 285/11.5
C) 285/12 and 295/12
D) 285/12.5 and 295/11.5
E) 295/12.5 and 285/11.5


The answer is D.

I understand why we get 285 and 11.5. But my question is how we get 295 and 12.5. If we round 295 to the nearest 10 miles, we will get 300 instead of 290. Also if we round 12.5 to the nearest gallon, we will get 13 instead of 12.

Thank you in advance:)
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Re: Please Help OG 12 Problem Solving #129 [#permalink] New post 14 May 2010, 16:51
All I can think is that the "between" is not inclusive.
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Re: Please Help OG 12 Problem Solving #129 [#permalink] New post 14 May 2010, 20:51
Whether inclusive or not, D is the only answer, as it is the widest range. The other ranges leave out possibilities for her mpg.

I know we are all thinking her mpg must be between 285/12.4999 (worst possible mpg) and 294.99999/11.5 best possible mpg. So actually you could have a choice 100/20 to 300/10, and her actual mpg would be somewhere in between that.

Even if you don't buy that explanation, you can look at all the other wrong answers. A, B, C, and E all have a bottom limit of more than 285/12.49999 and a top limit of less than 294.9999/11.5 so they all exclude possible mpgs. For example, A is 290/12.5 to 290/11.5. But we know her mpg could have been 292/11.5, so this range is insufficient. All the other options are the same.
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Re: Please Help OG 12 Problem Solving #129 [#permalink] New post 15 May 2010, 01:12
I know the answer is either D or E ........a,b,c are straight out

My question is why E is not correct - when car will travel for more miles then it will use more gallons of fuel and vice versa

In option E - 295 is divided by 12.5 and 285 by 11.5 which is logical in a way that when car travels more it used more fuel
Option D does exactly opposite to that

Any suggestions/ comments????
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Re: Please Help OG 12 Problem Solving #129 [#permalink] New post 16 May 2010, 22:36
@chiayu...

Q is saying : Cindy drove her car 290 miles, rounded to the nearest 10 miles
Therefore 2 options r there before rounding it to nearest 10 miles i.e. 285 , 295.
Not 300 as its again round off after 290 which is incorrect..

Further , Q is saying : used 12 gallons of gasoline, rounded to the nearest gallon
Therefore 2 options r there before rounding it to nearest gallon i.e. 11.5 , 12.5..
Not 13 as its again round off after 12 which is incorrect...

So the ans is btw D or E...

Further having same Q as hardnstrong why E is Incorrect as logically E shd be correct..
Re: Please Help OG 12 Problem Solving #129   [#permalink] 16 May 2010, 22:36
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Please Help OG 12 Problem Solving #129

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