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If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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16 Mar 2014, 19:42
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48% (02:14) correct 52% (02:13) wrong based on 287 sessions
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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
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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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16 Mar 2014, 22:22
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
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Re: Min/Max Problem
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16 Mar 2014, 22:24
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!



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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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19 Feb 2015, 10:35
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.



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Re: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible in
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26 Sep 2015, 07:52
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.
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Re: If 13 < 7a+1 < 29 and 19 < 2  b < 23 what is the maximum possible in
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26 Sep 2015, 07:55
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.



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If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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26 Sep 2015, 07:58
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.



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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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26 Sep 2015, 08:04
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.
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If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible
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16 Oct 2016, 06:52
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
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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible
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16 Oct 2016, 07:46
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



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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the maximum possible
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16 Oct 2016, 08:59
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
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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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26 Dec 2016, 00:19
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.



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If 13<7a+1<29 and 19<2b<23
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05 Jul 2017, 06:38
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!



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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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05 Jul 2017, 07:00
tommh wrote: 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! Merging topics. Please refer to the discussion above.
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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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05 Jul 2017, 08:26
Thank you for pointing me to this post. I did search for it but nothing came up. I understand where I went wrong.



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Re: If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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09 Jul 2017, 05:42
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.



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If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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05 May 2019, 11:56
Hi, Can someone tell me why deducting the two inequalities gives the wrong answer? 2<a<4 17<b<21 <after deducting 2  217<a(b)<421 19<a+b<17




If 13 < 7a + 1 < 29 and 19 < 2  b < 23, what is the
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05 May 2019, 11:56






