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

It is currently 19 Jul 2019, 03:20

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 the integer x is divisible by 3 but not by 2, then which one of the

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56302
If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post Updated on: 03 Jul 2019, 05:56
1
3
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

77% (01:18) correct 23% (01:18) wrong based on 175 sessions

HideShow timer Statistics



Originally posted by Bunuel on 13 Jun 2017, 10:54.
Last edited by SajjadAhmad on 03 Jul 2019, 05:56, edited 1 time in total.
Added Source
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 745
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 13 Jun 2017, 11:01
1
Bunuel wrote:
If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?

(A) (x + 1)/2
(B) x/7
(C) x^2/3
(D) x^3/3
(E) x/24


Odd divided by even is never an integer.

Let x = 3
(A) \(\frac{(x + 1)}{2} = \frac{(3 + 1)}{2} = \frac{4}{2} = 2\)
(B)\(\frac{x}{7} = \frac{3}{7}\) ---------- Not integer
(C) \(\frac{{x^2}}{3}\) = \(\frac{3^2}{3} = \frac{9}{3} = 3\)
(D) \(\frac{x^3}{3} = \frac{3^3}{3} = \frac{27}{3} = 9\)
(E) \(\frac{x}{24} = \frac{3}{24} = \frac{1}{8}\) ------------ Not integer

B, C and D eliminated.

Let x = 21
(B) \(\frac{x}{7} = \frac{21}{7} = 3\)
(E) \(\frac{x}{24} = \frac{21}{24} = \frac{7}{8}\) --------- Not integer. Answer E...
Manager
Manager
User avatar
S
Joined: 23 May 2017
Posts: 236
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 13 Jun 2017, 11:22
+ E

If x is not divisible by 2 then it won't be divisible by 24 either
_________________
If you like the post, please award me Kudos!! It motivates me
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 13 Jun 2017, 11:35
Leo8 wrote:
+ E

If x is not divisible by 2 then it won't be divisible by 24 either


Good observation , for the number to be divisible by 24 we must have the numerator as a multiple of both 2 and 3 , which contradicts the statement -

Quote:
the integer x is divisible by 3 but not by 2


Thus, answer must be (E)

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Manager
Manager
User avatar
B
Joined: 17 Jun 2015
Posts: 200
GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
GMAT ToolKit User
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 18 Jun 2017, 04:06
We are looking for an odd multiple of 3.

Evaluating option 3, just take the example of to be 9

9/24 is not an integer. Hence, E
_________________
Fais de ta vie un rêve et d'un rêve une réalité
Current Student
avatar
B
Joined: 09 Oct 2016
Posts: 89
Location: United States
GMAT 1: 740 Q49 V42
GPA: 3.49
Reviews Badge
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 18 Jun 2017, 11:26
IMO, E

In this question you are looking for X divided by some even number (or X+-1 divided by 3)

B, C, D do not have either of these

A) (X+1)/2 -> if our x is divisible by 3 and not 2, then it is odd so (X+-1) is always divisible by 2

E) X/24 -> 24 is even so this is not possible, and thus is our answer
Manager
Manager
User avatar
G
Joined: 24 Dec 2016
Posts: 59
Location: United States
Concentration: Statistics
Schools: Duke Fuqua
GMAT 1: 720 Q49 V40
GPA: 3.38
GMAT ToolKit User Reviews Badge
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 18 Jun 2017, 14:08
E
A) If X is not divisible by 2, it means that it is odd, hence (X+1)/2 is always an integer
B) X/7 could be true if the X is 21, 63, 105...
C) X^2/3 is always an integer 3^2/3=3 9^2/3=27 etc
D) The same logic as in C. 3^3/3=9
E) Will never be an integer as X doesn't contain any even factor(not divisible by 2), while 24 has 3 2s
_________________
If you find my solution useful, hit the "Kudos" button
Current Student
avatar
S
Joined: 06 Nov 2016
Posts: 103
Location: India
GMAT 1: 710 Q50 V36
GPA: 2.8
Reviews Badge
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 21 Jun 2017, 01:53
for this to hold true,
x is an odd multiple of 3

statement 1: x + 1 is even hence divisible by 3 - can be an integer
statement 2: if x is 21, x/7 is an integer
Statement 3: x^2/3 always an integer as x is a multiple of 3, so x^2 is a multiple of 3
Statement 4: same as above, x is a multiple of 3, x^3 is a multiple of 3 hence x^3/3 is an integer

Statement 5- correct answer- not an integer as 24 has two even integers and hence x is odd - CAN NEVER BE AN INTEGER
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 731
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 12 Jul 2017, 06:28
Bunuel wrote:
If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?

(A) (x + 1)/2
(B) x/7
(C) x^2/3
(D) x^3/3
(E) x/24


x is divisible by 3 and not by 2. So x is odd multiple of 3
so, lets get down to choices to check which one is an integer and which is not.

(A) x+1 is even and hence (x+1)/2 = I
(B) x/7 may be an integer or may be not. We can't say anything based on the data available with us.
(C) x^2 must be a multiple of 3. So, x^2/3 = I
(D) x^3 must be a multiple of 3. So, x^3/3 = I
(E) 24 = 2*2*2*3 since x is odd multiple of 3. x is not divisible by 24. Hence x/24 is not integer.

Answer E.
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6925
Location: United States (CA)
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 16 Jul 2017, 17:17
Bunuel wrote:
If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?

(A) (x + 1)/2
(B) x/7
(C) x^2/3
(D) x^3/3
(E) x/24


Because x is divisible by 3 and not 2, x must be an odd multiple of 3, such as 3 or 9.

Since 24 is an even number, x/24 will NEVER be an integer.

Answer: E
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

VP
VP
avatar
G
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 04 Feb 2019, 08:31
Bunuel wrote:
If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?

(A) (x + 1)/2
(B) x/7
(C) x^2/3
(D) x^3/3
(E) x/24


x / 3 ! by 2

x = 3 , 9, 15 , 21

x/24, will never give an integer for the present conditions, since it is 12*2 (this goes against the question)

E
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Intern
Intern
avatar
B
Joined: 25 Nov 2018
Posts: 5
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 21 Mar 2019, 22:59
what if we take X as 240 for option E.?
Senior Manager
Senior Manager
avatar
G
Joined: 25 Feb 2019
Posts: 336
CAT Tests
Re: If the integer x is divisible by 3 but not by 2, then which one of the  [#permalink]

Show Tags

New post 22 Mar 2019, 00:25
1
[quote="bharat8484"]what if we take X as 240 for option E.?[/quote]


X can not be 240 as we have to find the value of x which is NOT divisible by 2 .

240 is divisible by 2 , hence x can not take this value . This is the given condtion in question.


award kudos if helpful

[size=80][b][i]Posted from my mobile device[/i][/b][/size]
GMAT Club Bot
Re: If the integer x is divisible by 3 but not by 2, then which one of the   [#permalink] 22 Mar 2019, 00:25
Display posts from previous: Sort by

If the integer x is divisible by 3 but not by 2, then which one of the

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





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