January 19, 2019 January 19, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. January 20, 2019 January 20, 2019 07:00 AM PST 07:00 AM PST Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

VP
Joined: 21 Jul 2006
Posts: 1390

On her way home from work, Janet drives through several
[#permalink]
Show Tags
31 Mar 2008, 11:57
Question Stats:
70% (00:35) correct 30% (00:34) wrong based on 446 sessions
HideShow timer Statistics
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.
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 52285

On her way home from work, Janet drives through several
[#permalink]
Show Tags
24 Nov 2010, 10:35
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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




VP
Joined: 21 Jul 2006
Posts: 1390

Re: DS: Tollbooths
[#permalink]
Show Tags
31 Mar 2008, 12:27
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?



Intern
Joined: 24 Feb 2008
Posts: 39

Re: DS: Tollbooths
[#permalink]
Show Tags
02 Apr 2008, 20:20
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
so answer is cannot be answered



Manager
Joined: 11 Apr 2007
Posts: 131

Re: DS: Tollbooths
[#permalink]
Show Tags
02 Apr 2008, 20:33
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.



SVP
Joined: 04 May 2006
Posts: 1658
Schools: CBS, Kellogg

Re: DS: Tollbooths
[#permalink]
Show Tags
02 Apr 2008, 20:40
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!
_________________
GMAT Club Premium Membership  big benefits and savings



Senior Manager
Joined: 16 Aug 2004
Posts: 297
Location: India

Re: DS: Tollbooths
[#permalink]
Show Tags
03 Apr 2008, 02:47
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



Manager
Joined: 02 Aug 2007
Posts: 216
Schools: Life

Re: DS: Tollbooths
[#permalink]
Show Tags
28 Apr 2008, 16:05
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?



Current Student
Joined: 17 Jan 2008
Posts: 570
Location: Ann Arbor, MI
Schools: Ross '12 (MBA/MS)

Re: DS: Tollbooths
[#permalink]
Show Tags
28 Apr 2008, 18:43
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. Answer: C. xALIx 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.
_________________
Profile  GMAT  Erb Institute



Intern
Joined: 20 Nov 2008
Posts: 16

Re: DS: Tollbooths
[#permalink]
Show Tags
11 Jan 2010, 20:28
I chose A, I guess we interpret "several" on the GMAT as 2 or more...but the Oxford Dictionary does not.
sev•eral /sevrl/ det., pron., adj. det., pron. more than two but not very many



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8792
Location: Pune, India

Re: DS: Tollbooths
[#permalink]
Show Tags
24 Nov 2010, 09:52
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.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8792
Location: Pune, India

Re: DS: Tollbooths
[#permalink]
Show Tags
24 Nov 2010, 10:55
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
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Manager
Joined: 23 Jul 2011
Posts: 148
Concentration: Finance, Technology
GPA: 2.99

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



Math Expert
Joined: 02 Sep 2009
Posts: 52285

Re: On her way home from work, Janet drives through several
[#permalink]
Show Tags
23 Feb 2012, 13:18



Intern
Joined: 04 Jan 2012
Posts: 4
GPA: 3.97
WE: Analyst (Mutual Funds and Brokerage)

Re: On her way home from work, Janet drives through several
[#permalink]
Show Tags
24 Feb 2012, 13:12
Would be great if the question stated that the road is a straight line



Manager
Joined: 23 Jul 2011
Posts: 148
Concentration: Finance, Technology
GPA: 2.99

Re: On her way home from work, Janet drives through several
[#permalink]
Show Tags
24 Feb 2012, 16:34
Thanks for the help I understand now. It takes time for me to process these tough problems sometimes.



Intern
Joined: 10 Dec 2011
Posts: 1

Re: On her way home from work, Janet drives through several
[#permalink]
Show Tags
11 May 2012, 07:23
Guys, do you know more questions of this type, preferrebly from OG or GMATPrep?



Intern
Joined: 06 Apr 2012
Posts: 36

Re: On her way home from work, Janet drives through several
[#permalink]
Show Tags
14 May 2012, 02:08
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, zigzag... 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...



Intern
Joined: 22 Apr 2013
Posts: 3

Re: On her way home from work, Janet drives through several
[#permalink]
Show Tags
25 May 2013, 08:15
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



Intern
Joined: 05 May 2013
Posts: 10

Re: DS: Tollbooths
[#permalink]
Show Tags
14 Jun 2013, 02:45
samdiesel wrote: I chose A, I guess we interpret "several" on the GMAT as 2 or more...but the Oxford Dictionary does not.
sev•eral /sevrl/ det., pron., adj. 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. Posted from GMAT ToolKit




Re: DS: Tollbooths &nbs
[#permalink]
14 Jun 2013, 02:45



Go to page
1 2
Next
[ 23 posts ]



