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On her way home from work, Janet drives through several

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On her way home from work, Janet drives through several [#permalink]

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31 Mar 2008, 12:57
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On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart.
(2) Janet drives through 4 tollbooths on her way home from work.
[Reveal] Spoiler: OA
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31 Mar 2008, 13:27
I got this question from the GMATprep and scored 45 on the math section. I felt this question was tricky because I didn't know whether to assume that the tollbooths were evenly spaced. It would be a straight forward question if the tollbooths are evenly spaced. Should we assume that?
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02 Apr 2008, 21:20
On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart

(2) Janet drives through 4 tollbooths on her way home from work.

1) alone doesnt answer the question as i donot know the no of booths shw passes on her way
2) alone doesnt anwer the ques as i donot know the distance she travels

both 1) and 2) taken together will also not answer the question as i dont know if the distance between the booths

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02 Apr 2008, 21:33
You dont have to assume here that the distance is equal.
(1) not suff
(2) not suf
(1) (2) we know that The first tollbooth and the last tollbooth are 25 miles apart and there are 4 tollbooths on the way. Try to imagine the toolbooths: 2 at 11 miles, remain 14 miles but there is another tollbooths to put. So it has to be a pair with less than 10 miles between them.
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02 Apr 2008, 21:40
tarek99 wrote:
I got this question from the GMATprep and scored 45 on the math section. I felt this question was tricky because I didn't know whether to assume that the tollbooths were evenly spaced. It would be a straight forward question if the tollbooths are evenly spaced. Should we assume that?

Should not assume anything if the text doesnt tell you!
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03 Apr 2008, 03:47
Tricky question, I was also lured to pick C and this could happen, if these kinds of questions come at the end of GMAT questions. You are right sondenso
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28 Apr 2008, 17:05
Is it just me, or does several indicate more than 2? Given that reasoning my answer is A.
I know the OA is C.

Any thoughts?
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28 Apr 2008, 19:43
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tarek99 wrote:
On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart

(2) Janet drives through 4 tollbooths on her way home from work.

(1) 2 tollbooths=no. 50 toll booths between the 1st and last=yes (that's a lot of stopping!). INSUFFICIENT, eliminate A and D.
(2) 4 tollbooths each 11 miles apart=no. 4 toolbooths each 9 miles apart=yes. INSUFFICIENT, eliminate B.
(1)+(2) There's no way to partition 4 tollbooths where the first and last are 25 miles apart without putting 2 within 10 miles of each other. Eliminate E.

x-ALI-x wrote:
Is it just me, or does several indicate more than 2? Given that reasoning my answer is A.
I know the OA is C.

Any thoughts?

My interpretation of several is 2 or more.
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11 Jan 2010, 21:28
I chose A, I guess we interpret "several" on the GMAT as 2 or more...but the Oxford Dictionary does not.

det., pron. more than two but not very many
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24 Nov 2010, 10:52
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weakVerbal wrote:
janani wrote:
c

Very Tricky....

Since it is not mentioned in the question that the tollbooths are evenly spaced, you cannot assume it. Answer will be (E).
If it is indeed a GMAT Prep question, it would be a very very old question with no relevance now.
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Math Expert Joined: 02 Sep 2009 Posts: 35305 Followers: 6645 Kudos [?]: 85769 [0], given: 10252 On her way home from work, Janet drives through several [#permalink] Show Tags 24 Nov 2010, 11:35 Expert's post 3 This post was BOOKMARKED VeritasPrepKarishma wrote: weakVerbal wrote: janani wrote: c Very Tricky.... Since it is not mentioned in the question that the tollbooths are evenly spaced, you cannot assume it. Answer will be (E). If it is indeed a GMAT Prep question, it would be a very very old question with no relevance now. On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart? (1) The first tollbooth and the last tollbooth are 25 miles apart --> even if we take several to mean more than 2, still (1) is not sufficient as we can have 3 tollbooths as shown below: |---(12.5)---|---(12.5)---| (answer No) OR |-(2.5)-|-----(22.5)-----| (answer Yes). (2) Janet drives through 4 tollbooths on her way home from work. Clearly insufficient. (1)+(2) We know that the first tollbooth and the last tollbooth are 25 miles apart AND that there are total of 4 tollbooths: first-----(25)-----last Now, we cannot place 2 more tollbooths between the first one and the last one (the fourth) so that at least one pair of tollbooths won't be less than 10 miles apart (no matter whether they are evenly spaced or not). Average distance, in case tollbooths are evenly spaced will be 8.(3), so at least one pair must be less than or equal to this distance as if all pairs are more than 8.(3) miles apart then the distance between the first and the last will be more than 25 miles. Sufficient. Answer: C. _________________ Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 6972 Location: Pune, India Followers: 2031 Kudos [?]: 12776 [0], given: 221 Re: DS: Tollbooths [#permalink] Show Tags 24 Nov 2010, 11:55 Oh yes of course. I got so lost in the 'evenly spaced' debate, I didn't focus on the actual question! _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: On her way home from work, Janet drives through several [#permalink]

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23 Feb 2012, 14:13
I dont understand where it is stated this is an evenly spaced set.
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Re: On her way home from work, Janet drives through several [#permalink]

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23 Feb 2012, 14:18
gmatpunjabi wrote:
I dont understand where it is stated this is an evenly spaced set.

It's not mentioned that the tollbooths are evenly spaced. Check this: on-her-way-home-from-work-janet-drives-through-several-62011.html#p823157

Hope it helps.
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Re: On her way home from work, Janet drives through several [#permalink]

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24 Feb 2012, 14:12
Would be great if the question stated that the road is a straight line
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Re: On her way home from work, Janet drives through several [#permalink]

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24 Feb 2012, 17:34
Thanks for the help I understand now. It takes time for me to process these tough problems sometimes.
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Re: On her way home from work, Janet drives through several [#permalink]

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11 May 2012, 08:23
Guys,
do you know more questions of this type, preferrebly from OG or GMATPrep?
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Re: On her way home from work, Janet drives through several [#permalink]

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14 May 2012, 03:08
nglekel wrote:
Would be great if the question stated that the road is a straight line

exactly what i thought... i was tempted to choose "C"
but the above thought process gave me options of other irregular
paths.... and chose "E" as a result...

because if the path is, say, zig-zag... the first and fourth tollbooth
could still be positioned at a distance of 25 units between them... the
others could be arranged anywhere along this irregular path...

don't know if am making any wrong judgment here.... or missing
something between the lines.... or completely lost the plot...
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Re: On her way home from work, Janet drives through several [#permalink]

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25 May 2013, 09:15
tarek99 wrote:
On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart

(2) Janet drives through 4 tollbooths on her way home from work.

when we consider the 1st statement .,we cannot judge as we dont know the number of tollbooths..
When we consider the 2nd statement alone...we dont know the distance between the tollbooths even we know the number of booths...

When we consider both the statements ... we know that the 1st and 2nd booth are 25miles apart even if we distribute 4 booths in between 25miles there should be any 2 booths that have a distance less than 10miles...

So i think the answer should be C
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14 Jun 2013, 03:45
samdiesel wrote:
I chose A, I guess we interpret "several" on the GMAT as 2 or more...but the Oxford Dictionary does not.

det., pron. more than two but not very many

Either way, the answer is only C.

Lets assume means 2 or more. If 2, then distance is 25 miles.
If 3, distance between any pair can range from 1 to 24 miles(if we asumme integer numbers only- although wrong assumption) and you can have both pairs >10 miles.

If 4, there has to be at least one pair with <10 miles if total distance is 25 miles.

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Re: DS: Tollbooths   [#permalink] 14 Jun 2013, 03:45

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