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# Andrew drove his truck 100 miles, rounded to the nearest 10

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Manager
Joined: 11 Aug 2012
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Schools: HBS '16, Stanford '16
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Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink]

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04 Jan 2013, 08:23
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77% (01:59) correct 23% (01:10) wrong based on 82 sessions

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Andrew drove his truck 100 miles, rounded to the nearest 10 miles, and used 10 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Tom’s truck got on this vacation trip must have been between

A. $$\frac{100}{10.5}$$ and $$\frac{100}{9.5}$$

B. $$\frac{95}{10.5}$$ and $$\frac{105}{9.5}$$

C. $$\frac{95}{9.5}$$ and $$\frac{105}{10.5}$$

D. $$\frac{105}{10}$$ and $$\frac{95}{9.5}$$

E. $$\frac{105}{10.5}$$ and $$\frac{95}{9.5}$$

In the correct answer, I don't understand why the upper limit for gallons is 10.5. If it is 10.5, that number would be rounded to eleven.
The same with the upper limit for milles. If it is 105, that number would be rounded to 110.
[Reveal] Spoiler: OA
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Joined: 02 Sep 2009
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Kudos [?]: 79409 [0], given: 10016

Re: Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink]

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04 Jan 2013, 08:26
danzig wrote:
Andrew drove his truck 100 miles, rounded to the nearest 10 miles, and used 10 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Tom’s truck got on this vacation trip must have been between

A. $$\frac{100}{10.5}$$ and $$\frac{100}{9.5}$$

B. $$\frac{95}{10.5}$$ and $$\frac{105}{9.5}$$

C. $$\frac{95}{9.5}$$ and $$\frac{105}{10.5}$$

D. $$\frac{105}{10}$$ and $$\frac{95}{9.5}$$

E. $$\frac{105}{10.5}$$ and $$\frac{95}{9.5}$$

In the correct answer, I don't understand why the upper limit for gallons is 10.5. If it is 10.5, that number would be rounded to eleven.
The same with the upper limit for milles. If it is 105, that number would be rounded to 110.

Almost the same question: on-a-recent-trip-cindy-drove-her-car-290-miles-rounded-to-99378.html

Similar questions:
a-cyclist-travels-the-length-of-a-bike-path-that-is-116960.html
if-an-automobile-averaged-22-5-miles-per-gallon-of-gasoline-109083.html

Hope it helps.
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Re: Andrew drove his truck 100 miles, rounded to the nearest 10 [#permalink]

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23 Jul 2014, 21:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Andrew drove his truck 100 miles, rounded to the nearest 10   [#permalink] 23 Jul 2014, 21:51
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