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# OG PS #129

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Intern
Joined: 22 Feb 2009
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28 Feb 2009, 18:12
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hi

On page 169 Qs 129 teh question is:

On a recent trip ,Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 galloons of gasoline rounded to the nearest gallon. The acutal number of miles per gallon that Cindy's car got on this trip must have been between

A) 290/12.5 and 290/11.4
B)295/12 and 284/11.4
C)284/12 and 295/12
D)284/12.5 and 295/11.4
E)295/12.5 and 284/11.4

The correct answer says its D.

It explains that 290 miles rounded to the nearest 10 miles meant they can range from 284 to 295. (SHOULDNT IT BE THAT SHE MIGHT HAVE DRIVEN 285 TO 294 INSTEAD.)

also gasoline to nearest gallon according to the solution says 11.4 to 12.5.(ONCE AGAIN SHOULDNT IT BE BETWEEN 11.5 TO 12.4 GALLONS).

I am confused. I specifically remember all our lives we are taught when rounding to nearest 10, see the last digit . if its 4 or less round down 5 and above round up. ex 34 rounded to nearest ten is 30 while 35 is rounded to 40.

your help will be highly appreciated.

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SVP
Joined: 04 May 2006
Posts: 1881

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Schools: CBS, Kellogg

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28 Feb 2009, 21:02
broncos222 wrote:
hi

On page 169 Qs 129 teh question is:

On a recent trip ,Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 galloons of gasoline rounded to the nearest gallon. The acutal number of miles per gallon that Cindy's car got on this trip must have been between

A) 290/12.5 and 290/11.4
B)295/12 and 284/11.4
C)284/12 and 295/12
D)284/12.5 and 295/11.4
E)295/12.5 and 284/11.4

The correct answer says its D.

It explains that 290 miles rounded to the nearest 10 miles meant they can range from 284 to 295. (SHOULDNT IT BE THAT SHE MIGHT HAVE DRIVEN 285 TO 294 INSTEAD.) IT SHOULD BE
also gasoline to nearest gallon according to the solution says 11.4 to 12.5.(ONCE AGAIN SHOULDNT IT BE BETWEEN 11.5 TO 12.4 GALLONS).(SHOULD IT BE AGAIN)

I am confused. I specifically remember all our lives we are taught when rounding to nearest 10, see the last digit . if its 4 or less round down 5 and above round up. ex 34 rounded to nearest ten is 30 while 35 is rounded to 40.

your help will be highly appreciated.

"BETWEEN" means that "284/12.5 ; 295/11.4" are NOT included in interval [285/12.4,294/11.5]

Dunno you get the logic or not!
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Manager
Joined: 27 Feb 2009
Posts: 58

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28 Feb 2009, 22:18
i had the same doubt while solving the question..

u r right about it...but look at the answer choices...none of which had 11.5 to 12.4, similarly 285 to 294. sometimes u just have to go with the flow..

Solve this question backwards

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Re: OG PS #129   [#permalink] 28 Feb 2009, 22:18
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