December 20, 2018 December 20, 2018 10:00 PM PST 11:00 PM PST This is the most inexpensive and attractive price in the market. Get the course now! December 22, 2018 December 22, 2018 07:00 AM PST 09:00 AM PST Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 16 Mar 2014
Posts: 3

If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
16 Mar 2014, 18:42
Question Stats:
49% (02:12) correct 51% (02:15) wrong based on 316 sessions
HideShow timer Statistics
If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible integer value of a + b? A. 23 B. 18 C. 14 D. 13 E. 12
Official Answer and Stats are available only to registered users. Register/ Login.




VP
Joined: 02 Jul 2012
Posts: 1176
Location: India
Concentration: Strategy
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
16 Mar 2014, 21:22
Really nice question and plays with a classic GMAT trap. We arrive at the final equation that a + b < 13. So the maximum integer values of a + b should be LESSER THAN 13 and that can only be 14. Answer is C. 13 < 7a + 1 < 29 Subtracting 1 from the equation 14 < 7a < 28 Dividing by 7 2 < a < 4 ........... (1) 19 < 2  b < 23 Multiplying by 1 23 < b  2 < 19 Adding 2 to the equation 21 < b < 17 ........... (2) Adding 1 and 2 23 < a + b < 13
_________________
Did you find this post helpful?... Please let me know through the Kudos button.
Thanks To The Almighty  My GMAT Debrief
GMAT Reading Comprehension: 7 Most Common Passage Types




Director
Joined: 23 Jan 2013
Posts: 568

Re: Min/Max Problem
[#permalink]
Show Tags
16 Mar 2014, 21:24
13<7a+1<29 131<7a<291 14<7a<28 2<a<4, max=3,9999
19<2b<23 192<b<231 17<b<21 17>b>21, max=17,9999 so 17,9999+3,9999=14 or 17,1111+3,1111=14 Problem does bot say A and B integers but say that A+B integer. Any difference in digitals of A and B can give more but does not give integer. Answer is C, but very tricky!



Current Student
Joined: 23 May 2013
Posts: 187
Location: United States
Concentration: Technology, Healthcare
GPA: 3.5

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
19 Feb 2015, 09:35
Solving for the ranges of a and b, we see that
23 < a+b < 13.
However, notice that a and b do NOT have to be integers themselves. Since the max of a and b is strictly less than 13, it can never actually reach 13, and thus the maximum integer value is 14.
Answer: C.



Retired Moderator
Joined: 29 Apr 2015
Posts: 842
Location: Switzerland
Concentration: Economics, Finance
WE: Asset Management (Investment Banking)

Re: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible in
[#permalink]
Show Tags
26 Sep 2015, 06:52
reto wrote: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible integer value of a + b? A. 23 B. 18 C. 14 D. 13 E. 12 Because the question does not state that a and b are integers it follows: 2<a<4 17>b>21 We are looking for the maximum value of a+b, i.e. if a is 3.999999 and b is 16.999999, then the maximum integer value is 13. Any doubts? I do not have official answer.
_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!
PS Please send me PM if I do not respond to your question within 24 hours.



CEO
Joined: 20 Mar 2014
Posts: 2631
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible in
[#permalink]
Show Tags
26 Sep 2015, 06:55
reto wrote: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible integer value of a + b? A. 23 B. 18 C. 14 D. 13 E. 12 reto, it should be 14, C and NOT D. 13<7a+1<29 > 14<7a<28> 2<a<4 ...(1) 19<2b<23 > 17<b<21 > 21<b<17 ...(2) Thus from 1 and 2 , 23<a+b<13 > the greatest INTEGER value is 14. C is the correct answer.



CEO
Joined: 20 Mar 2014
Posts: 2631
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
26 Sep 2015, 06:58
reto wrote: reto wrote: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible integer value of a + b? A. 23 B. 18 C. 14 D. 13 E. 12 Because the question does not state that a and b are integers it follows: 2<a<4 17>b>21 We are looking for the maximum value of a+b, i.e. if a is 3.999999 and b is 16.999999, then the maximum integer value is 13. Any doubts? I do not have official answer. You cannot assume b =16.99999999 as 17>b>21, and 16.999999 is > 17. Please use GMATLCUB search function to search for already posted questions. This question has already been discussed before.
Topics merged.



Retired Moderator
Joined: 29 Apr 2015
Posts: 842
Location: Switzerland
Concentration: Economics, Finance
WE: Asset Management (Investment Banking)

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
26 Sep 2015, 07:04
Engr2012 wrote: reto wrote: reto wrote: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible integer value of a + b? A. 23 B. 18 C. 14 D. 13 E. 12 Because the question does not state that a and b are integers it follows: 2<a<4 17>b>21 We are looking for the maximum value of a+b, i.e. if a is 3.999999 and b is 16.999999, then the maximum integer value is 13. Any doubts? I do not have official answer. You cannot assume b =16.99999999 as 17>b>21, and 16.999999 is > 17. Please use GMATLCUB search function to search for already posted questions. This question has already been discussed before.
Topics merged.Thanks. Very careless error. I gotta be more careful.
_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!
PS Please send me PM if I do not respond to your question within 24 hours.



Math Expert
Joined: 02 Sep 2009
Posts: 51285

If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible
[#permalink]
Show Tags
16 Oct 2016, 05:52



Manager
Joined: 28 Jun 2016
Posts: 207
Location: Canada
Concentration: Operations, Entrepreneurship

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible
[#permalink]
Show Tags
16 Oct 2016, 06:46
Solving the question stem gives 2 < a < 4 21< b < 17 Add both equations 23 < a+b < 13 Highest integer less than 13 in answer choices is 14. C Sent from my iPhone using GMAT Club Forum mobile app



CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible
[#permalink]
Show Tags
16 Oct 2016, 07:59
Bunuel wrote: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible integer value of a + b?
A. 23 B. 18 C. 14 D. 13 E. 12 13 < 7a + 1 < 29 and 19 < 2  b < 23 14 < 7a < 28 and 17 <  b < 21 2 < a < 4 and 17 > b > 21 Max(a+b ) <4+(17) Max(a+b ) <(13) Max(a+b ) = 14 Answer: Option C
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Manager
Joined: 14 Jul 2016
Posts: 53
Location: India
Concentration: Strategy, Marketing
GPA: 3.5
WE: Analyst (Computer Software)

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
25 Dec 2016, 23:19
Bunuel wrote: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible integer value of a + b?
A. 23 B. 18 C. 14 D. 13 E. 12 Please note it is not mentioned that a and b are integers. 14< 7a < 28 > 2 < a < 4 implies a is between 2 & 4. Max Value of a: 3.99 17< b < 21 > 17> b > 21 implies b is between 17 & 21. Max Value of b: 17.01a + b will give you 13. So the answer should be 13 and not 14. Kindly let me know if there are any mistakes.



Intern
Joined: 20 Apr 2017
Posts: 6

If 13<7a+1<29 and 19<2b<23
[#permalink]
Show Tags
05 Jul 2017, 05:38
If \(13<7a+1<29\) and \(19<2b<23\), what is the maximum possible integer value of \(a+b\)?
A) 23 B) 18 C) 14 D) 13 E) 12
In the micro test my workings were:
\(13 < 7a + 1 < 29\) \(14 < 7a < 28\) \(2 < a < 4\)
\(19 < 2  b < 23\) \(17 < b < 21\) \(17 > b > 21\)
Therefore the maximum possible integer value of a+b = 18+3 = 15 (which isn't an answer choice, so I had to guess!)
I'm missing something out but can't see where I'm going wrong. Can someone shed some light on this please?
Thank you!



Math Expert
Joined: 02 Sep 2009
Posts: 51285

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
05 Jul 2017, 06:00



Intern
Joined: 20 Apr 2017
Posts: 6

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
05 Jul 2017, 07:26
Thank you for pointing me to this post. I did search for it but nothing came up. I understand where I went wrong.



Director
Joined: 04 Dec 2015
Posts: 734
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
09 Jul 2017, 04:42
derek123 wrote: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible integer value of a + b?
A. 23 B. 18 C. 14 D. 13 E. 12 \(13 < 7a + 1 < 29\) \(14<7a<28\) \(2<a<4\)  (i) \(19 < 2  b < 23\) \(17<b<21\) \(17>b>21\) Or \(21<b<17\)  (ii) Adding (i) and (ii), we get; \(212<a+b<17+4\) \(23<a+b<13\) Therefore the maximum possible integer value of \(a+b = 14\) Answer (C)..._________________ Please Press "+1 Kudos" to appreciate.



NonHuman User
Joined: 09 Sep 2013
Posts: 9206

Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
[#permalink]
Show Tags
09 Aug 2018, 07:43
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 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the &nbs
[#permalink]
09 Aug 2018, 07:43






