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: 02 Nov 2010
Posts: 7

If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
05 Jan 2011, 07:44
Question Stats:
61% (00:59) correct 39% (01:46) wrong based on 1370 sessions
HideShow timer Statistics
If n is an integer, the greatest possible value of the expression: 12  32  7n is A. 20 B. 1 C. 8 D. 9 E. 12 I know to answer this correctly I can just plug in numbers. I was wondering is there any tricks to solving it faster. Thanks.
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 52147

Re: Are there any tricks to solving this question
[#permalink]
Show Tags
05 Jan 2011, 09:00




Math Expert
Joined: 02 Sep 2009
Posts: 52147

Re: If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
04 Jul 2013, 00:44



Director
Joined: 17 Dec 2012
Posts: 625
Location: India

Re: If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
04 Jul 2013, 01:35
Let the greatest possible value be x. 1. For n>4, i.e., when the value within the modulus is negative, the modulus becomes, (327n) 12 ( (327n))=x 12+327n=x x=447n so when n>4, x is greatest for n=5 and the value of x is 9. 2. For n<=4 , the modulus is 327n 12(327n)=x So when n<=4, the greatest value of x is 8 So , of the two, x=9 is the greater value.
_________________
Srinivasan Vaidyaraman Sravna Holistic Solutions http://www.sravnatestprep.com
Holistic and Systematic Approach



Board of Directors
Joined: 17 Jul 2014
Posts: 2600
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
03 Feb 2016, 17:54
PASSINGGMAT wrote: If n is an integer, the greatest possible value of the expression: 12  32  7n is
A. 20 B. 1 C. 8 D. 9 E. 12
I know to answer this correctly I can just plug in numbers. I was wondering is there any tricks to solving it faster. Thanks. good one...so...we need to get the greatest possible value..we have an absolute value..thus, it will always be positive. since n must be an integer, 7n can't be 32. it can be either 28, or 35. in case it's 35, then we have 3. in case it is 28, then 4. since we have a minus sign, we would rather have 3, since 123=9, but 124=8. thus, the max value is 9.



Manager
Joined: 25 Mar 2013
Posts: 240
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5

Re: If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
06 Jan 2017, 09:56
SravnaTestPrep wrote: Let the greatest possible value be x.
1. For n>4, i.e., when the value within the modulus is negative, the modulus becomes, (327n) 12 ( (327n))=x 12+327n=x x=447n so when n>4, x is greatest for n=5 and the value of x is 9.
2. For n<=4 , the modulus is 327n 12(327n)=x So when n<=4, the greatest value of x is 8
So , of the two, x=9 is the greater value. x is greatest for n = 5; x is 9 , when n = 6; x is 2 so greatest x =9
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you



Intern
Joined: 12 May 2017
Posts: 13

Re: If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
14 Jun 2017, 00:20
My approach, no difficult algebra needed, but please correct me if i'm wrong. I'm still learning!:
First look at 32  7n.
On the number line you would be at number 32 with 7n to the left en 7n to the right. The question asks for the greatest possible value of 12  X. X stands for 32  7n. So you know X must be small in order for the formula to turn out big.
You know n is an integer, and you know X needs to be small, so: 327*4=4 (Let's try one more) 327*5=3 (Bingo)
3 it is. (Absolute value, so 3)
123=9. There you go.



Manager
Joined: 17 Feb 2016
Posts: 90
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.12
WE: Education (Internet and New Media)

Re: If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
14 Jun 2017, 01:07
maximum value for the expression 12mod(x) to maximise the value of the expression x must be minimum mod(x)=357x x=4 mod x =4 x=5 mod x =3 x=6 mod x =7 Hence max value of the expression =9
_________________
Never stop fighting until you arrive at your destined place  that is, the unique you. Have an aim in life, continuously acquire knowledge, work hard, and have the perseverance to realise the great life. A. P. J. Abdul Kalam



Intern
Joined: 16 Jul 2018
Posts: 2

Re: If n is an integer, the greatest possible value of the
[#permalink]
Show Tags
30 Aug 2018, 03:28
Let's think of it like this 
n is an integer so 7n must also be an integer. Correct?
Now the question asks for the greatest value, for this the part in the modulus needs to be be the smallest value. (The smaller the number is from 12 the better)
Inside the modulus we have 2 numbers 327n
So, the value of 7n should be as close to the number 32 as possible to get a small value.
What multiples of 7 is the closest to 32? >>> You guessed it right it is 35. That means n=5, (since 7x5=35)
So now let's get to the simple math 
3235=3, Since there is modulus, it will only be 3
Next > 123=9. Which is the greatest value of the expression
Answer D




Re: If n is an integer, the greatest possible value of the &nbs
[#permalink]
30 Aug 2018, 03:28






