January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. 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.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 11 Jan 2012
Posts: 4

If a, b, and c are positive integers, is b between a and c?
[#permalink]
Show Tags
29 Jan 2012, 15:41
Question Stats:
74% (01:07) correct 26% (01:11) wrong based on 555 sessions
HideShow timer Statistics
If a, b, and c are positive integers, is b between a and c? (1) b is 3 greater than a, and b is 5 less than c (2) c is 5 greater than b, and c is 8 greater than a I started solving this question by translating each statement For 1 I wrote: b=3 + a and b=c5 For 2 I wrote: c=5 + b and c=8 + a I tried substitution but got stuck and did not know where I was going from there. What type of problem is this and if you had to guess what level? Thanks for the explanation in advance.
Official Answer and Stats are available only to registered users. Register/ Login.




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8787
Location: Pune, India

Re: Number properties
[#permalink]
Show Tags
29 Jan 2012, 20:28
jmehrabi wrote: If a,b, and c are positive integers, is b between a and c? 1) b is 3 greater than a, and b is 5 less than c 2) c is 5 greater than b, and c is 8 greater than a
I started solving this question by translating each statement
For 1 I wrote: b=3 + a and b=c5 For 2 I wrote: c=5 + b and c=8 + a
I tried substitution but got stuck and did not know where I was going from there. What type of problem is this and if you had to guess what level? Thanks for the explanation in advance. Don't feel obligated to use algebra in every question. Many of these 'is this number less than that number' questions can be done using the number line. Btw, the solution given above is correct and the algebraic way. This question is quite straight forward since they have given that a, b and c are positive integers. No confusions! 'Is b between a and c?' essentially means 'does b lie between a and c on the number line?' 1) b is 3 greater than a, and b is 5 less than c This means 'b' is 3 steps to the right of 'a' but 5 steps to the left of 'c' on the number line. It must lie between 'a' and 'c'. (draw a number line if it is not clear) 2) c is 5 greater than b, and c is 8 greater than a 'c' is 5 steps to the right of 'b' which means 'b' is 5 steps to the left of 'c'. 'c' is 8 steps to the right of 'a' which means 'a' is 8 steps to the left of 'c'. 'a' is further to the left of 'c' than 'b'. So 'b' must be between 'a' and 'c'. So (D)
_________________
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 >




Intern
Joined: 04 Mar 2011
Posts: 18

Re: Number properties
[#permalink]
Show Tags
29 Jan 2012, 19:11
this is ds first i would do is restate the question. a<b<c?
than you would start with which ever that usually look easier. I would start with 2.
2) a = c8 < b = c5 < c=b+5 which would give you A<B<C which would make the statement true so you would eliminate ACE and leave you with B or D.
1)a= b3 < b= a+3 < c= b+5 which would give you A<B<C which makes both statement true so the answer would be D
This is my first time solving a problem so if someone else care to chip in and make sure I answered it correctly please feel free to do so. As far as what level problem I would guess a lower one maybe 500? or less no clue to be honest



Manager
Joined: 23 Feb 2012
Posts: 200
Location: India
Concentration: Finance, Entrepreneurship
GPA: 2.9
WE: Marketing (Computer Software)

Re: If a, b, and c are positive integers, is b between a and c?
[#permalink]
Show Tags
09 Mar 2012, 02:58
Thanks Karishma. I felt good answering this particular question correctly because when I first read the question I said to myself, "Hold on! This question doesn't need any calculations at all! Just visualize the points on the number line and you are done!"
_________________
If you like it, Kudo it!
"There is no alternative to hard work. If you don't do it now, you'll probably have to do it later. If you didn't need it now, you probably did it earlier. But there is no escaping it."
710 Debrief. Crash and Burn



Manager
Joined: 03 Mar 2013
Posts: 71
Location: India
Concentration: General Management, Marketing
GPA: 3.49
WE: Web Development (Computer Software)

Re: If a, b, and c are positive integers, is b between a and c?
[#permalink]
Show Tags
16 May 2013, 23:18
jmehrabi wrote: If a, b, and c are positive integers, is b between a and c?
(1) b is 3 greater than a, and b is 5 less than c (2) c is 5 greater than b, and c is 8 greater than a
I started solving this question by translating each statement
For 1 I wrote: b=3 + a and b=c5 For 2 I wrote: c=5 + b and c=8 + a
I tried substitution but got stuck and did not know where I was going from there. What type of problem is this and if you had to guess what level? Thanks for the explanation in advance. check this out: stmt1: b= a+3, b= c8 now place them in order a,b,c in terms of b => b3, b , b+8 sufficient => B, C, E ruled out Stmt2: c= B+5, c = a+8 equate them a+3 = b now again write them all in terms of A a, a+3,a+8 again suff, so D as A is ruled out Kudos please



Manager
Status: Time to wait :)
Joined: 18 Jun 2013
Posts: 74
Location: India
Concentration: Entrepreneurship, Strategy
WE: Consulting (Telecommunications)

Re: Number properties
[#permalink]
Show Tags
21 Sep 2013, 14:30
VeritasPrepKarishma wrote: jmehrabi wrote: If a,b, and c are positive integers, is b between a and c? 1) b is 3 greater than a, and b is 5 less than c 2) c is 5 greater than b, and c is 8 greater than a
I started solving this question by translating each statement
For 1 I wrote: b=3 + a and b=c5 For 2 I wrote: c=5 + b and c=8 + a
I tried substitution but got stuck and did not know where I was going from there. What type of problem is this and if you had to guess what level? Thanks for the explanation in advance. Don't feel obligated to use algebra in every question. Many of these 'is this number less than that number' questions can be done using the number line. Btw, the solution given above is correct and the algebraic way. This question is quite straight forward since they have given that a, b and c are positive integers. No confusions! 'Is b between a and c?' essentially means 'does b lie between a and c on the number line?' 1) b is 3 greater than a, and b is 5 less than c This means 'b' is 3 steps to the right of 'a' but 5 steps to the left of 'c' on the number line. It must lie between 'a' and 'c'. (draw a number line if it is not clear) 2) c is 5 greater than b, and c is 8 greater than a 'c' is 5 steps to the right of 'b' which means 'b' is 5 steps to the left of 'c'. 'c' is 8 steps to the right of 'a' which means 'a' is 8 steps to the left of 'c'. 'a' is further to the left of 'c' than 'b'. So 'b' must be between 'a' and 'c'. So (D) Your explanations are ALWAYS Awesome  Gold Standard! Thanks Karishma
_________________
Dream On...



Intern
Joined: 05 Jun 2015
Posts: 25
Location: Viet Nam
GPA: 3.66

Re: If a, b, and c are positive integers, is b between a and c?
[#permalink]
Show Tags
05 Mar 2016, 00:46
VeritasPrepKarishma wrote: Don't feel obligated to use algebra in every question. Many of these 'is this number less than that number' questions can be done using the number line. Btw, the solution given above is correct and the algebraic way.
This question is quite straight forward since they have given that a, b and c are positive integers. No confusions!
Hi Karishma, The stem requires that a, b, and c are positive integers, but that info isn't used much, is it? Even if the they are not, the correct answer will still be D. Is that right? I drew a number line for this question and found that it doesn't matter whether a, b, and c are positive integers or not. Is my reasoning correct? Thank you very much!



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8787
Location: Pune, India

Re: If a, b, and c are positive integers, is b between a and c?
[#permalink]
Show Tags
05 Mar 2016, 07:26
truongynhi wrote: VeritasPrepKarishma wrote: Don't feel obligated to use algebra in every question. Many of these 'is this number less than that number' questions can be done using the number line. Btw, the solution given above is correct and the algebraic way.
This question is quite straight forward since they have given that a, b and c are positive integers. No confusions!
Hi Karishma, The stem requires that a, b, and c are positive integers, but that info isn't used much, is it? Even if the they are not, the correct answer will still be D. Is that right? I drew a number line for this question and found that it doesn't matter whether a, b, and c are positive integers or not. Is my reasoning correct? Thank you very much! Yes, it doesn't matter at all. Where exactly then numbers are on the number line is immaterial. All we care about is the relative placement of the numbers. But when we solve questions using algebra, we need to ensure that negative numbers/fractions etc will not affect our solution. A question with "positive integers" puts us at ease immediately.
_________________
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 >



Current Student
Joined: 12 Aug 2015
Posts: 2626

Re: If a, b, and c are positive integers, is b between a and c?
[#permalink]
Show Tags
09 Mar 2016, 08:09



NonHuman User
Joined: 09 Sep 2013
Posts: 9423

Re: If a, b, and c are positive integers, is b between a and c?
[#permalink]
Show Tags
24 Dec 2018, 09:50
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). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: If a, b, and c are positive integers, is b between a and c? &nbs
[#permalink]
24 Dec 2018, 09:50






