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

 It is currently 17 Dec 2018, 09:39

### 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

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

## Events & Promotions

###### 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

Author Message
TAGS:

### Hide Tags

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

### Show Tags

22 May 2018, 03:24
00:00

Difficulty:

5% (low)

Question Stats:

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

### HideShow timer Statistics

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

_________________
Manager
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

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
Joined: 04 Jan 2015
Posts: 2324
Re: If integer x is divisible by 3 which of the following is not divisible  [#permalink]

### Show Tags

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.

_________________

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

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

### Show Tags

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.
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