It is currently 17 Dec 2017, 13:51

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

Manager
Manager
avatar
Joined: 18 Feb 2015
Posts: 88

Kudos [?]: 90 [0], given: 15

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

Show Tags

New post 05 Jul 2016, 10:55
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

69% (00:35) correct 31% (00:39) wrong based on 235 sessions

HideShow timer Statistics

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
[Reveal] Spoiler: OA

Kudos [?]: 90 [0], given: 15

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135978 [2], given: 12719

Re: If n is an integer, then the least possible value of l31 - 4nl is [#permalink]

Show Tags

New post 05 Jul 2016, 11:07
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135978 [2], given: 12719

Senior Manager
Senior Manager
avatar
Joined: 02 Mar 2012
Posts: 356

Kudos [?]: 92 [0], given: 4

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, 21:54
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

Kudos [?]: 92 [0], given: 4

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14796

Kudos [?]: 288 [0], given: 0

Premium Member
Re: If n is an integer, then the least possible value of l31 - 4nl is [#permalink]

Show Tags

New post 21 Oct 2017, 20:57
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

Kudos [?]: 288 [0], given: 0

Re: If n is an integer, then the least possible value of l31 - 4nl is   [#permalink] 21 Oct 2017, 20:57
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  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.