Author 
Message 
Math Expert
Joined: 02 Sep 2009
Posts: 48061

What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
11 Jan 2017, 03:26
Question Stats:
55% (00:56) correct 45% (01:25) wrong based on 54 sessions
HideShow timer Statistics



Intern
Joined: 01 Jul 2014
Posts: 6
Location: United States
Concentration: Operations, General Management
WE: Operations (Manufacturing)

What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
Updated on: 11 Jan 2017, 08:45
Bunuel wrote: What is the value, rounded to the nearest integer, of 3a + 4 divided by a ?
(1) a > 8 (2) 10 > a > 7 [A] FROM statement 1: 1/a < 1/8 4/a<4/8 3+ 4/a < 3+ 4/8 irrespective of the value of a the nearest integer will be 3 sufficient from statement 2 a = 7.5 3+4/7.5 > 3.5 so the nearest integer is 4 a= 8 3+4/8 nearest integer is 3 hence, statement 2 is not sufficient
Originally posted by anurag790 on 11 Jan 2017, 03:35.
Last edited by anurag790 on 11 Jan 2017, 08:45, edited 1 time in total.



Intern
Joined: 24 Oct 2016
Posts: 1

Re: What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
11 Jan 2017, 04:12
The answer is D,
Since a or b leads to 3



Manager
Joined: 08 Nov 2015
Posts: 80

Re: What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
11 Jan 2017, 06:21
Bunuel wrote: What is the value, rounded to the nearest integer, of 3a + 4 divided by a ?
(1) a > 8 (2) 10 > a > 7 From the question stem it follows that 3a+4/a = 3 + 4/a ? 1. a can be any value greater than 8 ie. 9,10,11 etc. Not sufficient 2. 10 >a >7 a=8,9. This again not sufficient. From 1 and 2, it again appears that 8 < a < 10, and it is not mentioned that a is an integer. Hence we cannot have specific value. Hence the correct answer to me seems to be E.



Senior CR Moderator
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1394
Location: Viet Nam

What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
11 Jan 2017, 06:35
Bunuel wrote: What is the value, rounded to the nearest integer, of 3a + 4 divided by a ?
(1) a > 8 (2) 10 > a > 7 The question asks what is the value, rounded to the nearest integer, of \(\frac{3a+4}{a}=3+\frac{4}{a}\) (1) \(a>8 \implies \frac{4}{a}<\frac{4}{8}=0.5\). Hence \(3+\frac{4}{a} \approx 3 + 0 = 3\). Sufficient. (2) \(7 < a < 10\) If \(a=7.5\) then \(3+\frac{4}{7.5} > 3 + \frac{4}{8}=3.5\). Hence \(3+\frac{4}{a} \approx 4\) If \(a=9\) then \(3+\frac{4}{9} < 3 + \frac{4}{8}=3.5\). Hence \(3+\frac{4}{a} \approx 3\) Insufficient. The answer is A.
_________________
Actual LSAT CR bank by Broall
How to solve quadratic equations  Factor quadratic equations Factor table with sign: The useful tool to solve polynomial inequalities Applying AMGM inequality into finding extreme/absolute value
New Error Log with Timer



Director
Joined: 14 Nov 2014
Posts: 660
Location: India
GPA: 3.76

Re: What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
11 Jan 2017, 07:11
Bunuel wrote: What is the value, rounded to the nearest integer, of 3a + 4 divided by a ?
(1) a > 8 (2) 10 > a > 7 we can rewrite it as 3a/a +4/a a. a > 8 = max value of 3 + 4/9 ~ 3.4 , so value is 3 if we take a= 10 3 + 4/10 ~ 3.4, so value is 3 for 11 3+ 4/11 it will also give 3 ... so for any value of a, the integral value will be 3. suff b . we will get 3.5 for a= 8..we can either write 4 or 3 a=9 ..integral value will be 3 so insuff Answer =A



Intern
Joined: 03 Sep 2016
Posts: 3

Re: What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
12 Jan 2017, 05:13
3+4/a 1.) Any value that a takes should be greater than 8 (i.e.) 9,10 and so on which will definitely give values for 3+4/a as lesser than 3.5 and hence the resulting number can be rounded to the nearest integer as 3.> Sufficient
2.) a can take any value from 7.1 to 9.9 meaning the nearest rounded integer can either be 3 or 4 and hence > not sufficient.
Answer is A



Current Student
Joined: 26 Jun 2014
Posts: 79

Re: What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
05 Feb 2017, 08:56
[quote="ntdung@inbox.com"]The answer is D,
Since a or b leads to 3[/quote
Can you please explain how you got the answer?



Current Student
Joined: 26 Jun 2014
Posts: 79

Re: What is the value, rounded to the nearest integer, of 3a + 4 divided
[#permalink]
Show Tags
08 Feb 2017, 22:53
Edit: anurag790 wrote: Bunuel wrote: What is the value, rounded to the nearest integer, of 3a + 4 divided by a ?
(1) a > 8 (2) 10 > a > 7 [A] FROM statement 1: 1/a 3.5 so the nearest integer is 4 a= 8 3+4/8 nearest integer is 3 hence, statement 2 is not sufficient When a= 8 3+4/8 Now the value is 3.5. The nearest integer can be 4 as well i guess. how did you decide? == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.




Re: What is the value, rounded to the nearest integer, of 3a + 4 divided &nbs
[#permalink]
08 Feb 2017, 22:53






