Jul 19 08:00 AM PDT  09:00 AM PDT The Competition Continues  Game of Timers is a teambased competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th Jul 20 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jul 21 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes
Author 
Message 
TAGS:

Hide Tags

Math Expert
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
Updated on: 03 Jul 2019, 05:56
Question Stats:
77% (01:18) correct 23% (01:18) wrong based on 175 sessions
HideShow timer Statistics
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 Source: Nova GMAT Difficulty Level: 550
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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
Joined: 04 Dec 2015
Posts: 745
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
13 Jun 2017, 11:01
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
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
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
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
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)
_________________



Manager
Joined: 17 Jun 2015
Posts: 200
GMAT 1: 540 Q39 V26 GMAT 2: 680 Q46 V37

Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
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
Joined: 09 Oct 2016
Posts: 89
Location: United States
GPA: 3.49

Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
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
Joined: 24 Dec 2016
Posts: 59
Location: United States
Concentration: Statistics
GPA: 3.38

Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
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
Joined: 06 Nov 2016
Posts: 103
Location: India
GPA: 2.8

Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
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
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
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
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
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
_________________
5star 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
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
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
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
21 Mar 2019, 22:59
what if we take X as 240 for option E.?



Senior Manager
Joined: 25 Feb 2019
Posts: 336

Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
22 Mar 2019, 00:25
[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]




Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
22 Mar 2019, 00:25






