GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Dec 2018, 09:39

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • 10 Keys to nail DS and CR questions

     December 17, 2018

     December 17, 2018

     06:00 PM PST

     07:00 PM PST

    Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
  • R1 Admission Decisions: Estimated Decision Timelines and Chat Links for Major BSchools

     December 17, 2018

     December 17, 2018

     10:00 PM PST

     11:00 PM PST

    From Dec 5th onward, American programs will start releasing R1 decisions. Chat Rooms: We have also assigned chat rooms for every school so that applicants can stay in touch and exchange information/update during decision period.

If integer x is divisible by 3 which of the following is not divisible

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51263
If integer x is divisible by 3 which of the following is not divisible  [#permalink]

Show Tags

New post 22 May 2018, 03:24
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

100% (00:47) correct 0% (00:00) wrong based on 60 sessions

HideShow timer Statistics

Manager
Manager
avatar
G
Joined: 30 May 2017
Posts: 128
Location: United States
Schools: HBS '21
GMAT 1: 690 Q50 V32
GRE 1: Q168 V164
GPA: 3.57
Re: If integer x is divisible by 3 which of the following is not divisible  [#permalink]

Show Tags

New post 22 May 2018, 04:17
Bunuel wrote:
If integer x is divisible by 3, which of the following is not divisible by 3?

A. 6 − x
B. x + 9
C. 2x
D. 3x + 5
E. 4x − 6


Since x is a multiple of 3, any addition, multiplication or subtraction operation that is a multiple of 3 or multiple of x done to x, will ensure that the resultant answer is divisible by 3.

It is only option D that violates the condition above.

Hence option D = 3x + 5 is the answer.
_________________

Kindly press the +1Kudos if you like the explanation. Thanks a lot!!!

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2324
Re: If integer x is divisible by 3 which of the following is not divisible  [#permalink]

Show Tags

New post 22 May 2018, 04:39

Solution



Given:
• The variable x is divisible by 3

To find:
• Which of the given options is not divisible by 3

Approach and Working:
As it is given that x is divisible by 3, we can assume x = 3k, where k is a non-zero constant
Now considering each of the options as follows:
• 6 – x = 6 – 3k = 3(2 – k)
    o Divisible by 3
• x + 9 = 3k + 9 = 3(k + 3)
    o Divisible by 3
• 2x = 2 * 3k = 6k = 3 * 2k
    o Divisible by 3
• 3x + 5 = 3 * 3k + 5 = 9k + 3 + 2 = 3(3k + 1) + 2
    o Not divisible by 3
• 4x – 6 = 4 * 3k – 6 = 12k – 6 = 3(4k – 2)
    o Divisible by 3

We can see option D is not divisible by 3

Hence, the correct answer is option D.

Answer: D
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Manager
Manager
avatar
B
Joined: 20 Mar 2018
Posts: 61
Re: If integer x is divisible by 3 which of the following is not divisible  [#permalink]

Show Tags

New post 22 May 2018, 05:05
option D

3x+5 = 3.3m +5 = 9m+5

9m+5 will leave a remainder when divided by 3 as only 9m is a multiple of 3 and not 5.
GMAT Club Bot
Re: If integer x is divisible by 3 which of the following is not divisible &nbs [#permalink] 22 May 2018, 05:05
Display posts from previous: Sort by

If integer x is divisible by 3 which of the following is not divisible

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.