Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 20 Jul 2019, 00:36

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If n is an integer, then the least possible value of l31 - 4nl is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 18 Feb 2015
Posts: 82
If n is an integer, then the least possible value of l31 - 4nl is  [#permalink]

Show Tags

New post 05 Jul 2016, 11:55
3
4
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

69% (00:45) correct 31% (00:58) wrong based on 384 sessions

HideShow timer Statistics


If n is an integer, then the least possible value of |31 - 4n| is?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

GMAT Total Maths
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56300
Re: If n is an integer, then the least possible value of l31 - 4nl is  [#permalink]

Show Tags

New post 05 Jul 2016, 12:07
5
2
HarveyKlaus wrote:
Hi All;

I found this question in GMAT Total Maths, but Im not able to understand the solution provided. Would appreciate if someone could please comment? Thanks

If n is an integer, then the least possible value of |31 - 4n| is?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4


|31 - 4n| represents the distance between 31 and 4n on the number line. Now, the distance will be minimized when 4n, which is multiple of 4, is closest to 31. Multiple of 4 which is closest to 31 is 32 (for n = 8), so the least distance is 1: |31 - 32| = 1.

Answer: B.

Hope it's clear.
_________________
General Discussion
Senior Manager
Senior Manager
avatar
Joined: 02 Mar 2012
Posts: 284
Schools: Schulich '16
Re: If n is an integer, then the least possible value of l31 - 4nl is  [#permalink]

Show Tags

New post 05 Jul 2016, 22:54
when modulus questions are there think about DISTANCE and modulus is always absolute value i.e positive

|31-4n|

so the minimum would be when n=8..the distance would be the least from 31 i.e.1

don't worry abut -ve or +ve value inside the modulus.coz mod is always +ve

so answer here is B
SVP
SVP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1686
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GPA: 3.01
WE: Engineering (Real Estate)
Reviews Badge
Re: If n is an integer, then the least possible value of l31 - 4nl is  [#permalink]

Show Tags

New post 09 Mar 2018, 09:25
HarveyKlaus wrote:
If n is an integer, then the least possible value of |31 - 4n| is?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

GMAT Total Maths


Please note that question is not asking the least value of "n".

32 is the closest integer to 31 which we can get by multiplying 4*8.

Therefore, |31 - 4*8| = 1

Hence, (B)
_________________
"Do not watch clock; Do what it does. KEEP GOING."
GMAT Club Bot
Re: If n is an integer, then the least possible value of l31 - 4nl is   [#permalink] 09 Mar 2018, 09:25
Display posts from previous: Sort by

If n is an integer, then the least possible value of l31 - 4nl is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne