Author 
Message 
TAGS:


Intern
Joined: 19 Feb 2017
Posts: 8
Followers: 0
Kudos [?]:
0
[0], given: 1

x > y, x and y are positive integers [#permalink]
22 Feb 2017, 02:23
Question Stats:
100% (01:00) correct
0% (00:00) wrong based on 1 sessions
\(x > y\), x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?
1. \(\frac{x}{y} = k\); k is a positive integer
2. x is a multiple of 6 and y is a multiple of 3
3. Every prime factor of y is also a prime factor of x.
Last edited by Carcass on 05 Sep 2018, 11:02, edited 1 time in total.
Edited by Carcass




Intern
Joined: 14 Oct 2017
Posts: 5
Followers: 0
Kudos [?]:
4
[0], given: 0

Re: number properties [#permalink]
15 Oct 2017, 01:08
shadowcatradz wrote: x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?
1. x/y = k; k is a positive integer 2. x is a multiple of 6 and y is a multiple of 3 3. Every prime factor of y is also a prime factor of x. 1. This is true only for even number, but x and y can be odd too. 2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15. 3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer.



Intern
Joined: 29 Aug 2018
Posts: 5
Location: India
GMAT 1: 720 Q50 V38
WE: Sales (Computer Software)
Followers: 0
Kudos [?]:
8
[1]
, given: 0

Re: number properties [#permalink]
05 Sep 2018, 11:00
1
This post received KUDOS
LethalMonkey wrote: shadowcatradz wrote: x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?
1. x/y = k; k is a positive integer 2. x is a multiple of 6 and y is a multiple of 3 3. Every prime factor of y is also a prime factor of x. 1. This is true only for even number, but x and y can be odd too. 2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15. 3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer. I think you got the first option wrong my friend. What the question wants to know is if x= a* y (where a is any number) they are asking if x is a factor of Y. Now option one states that x/y=K which if you make simpler would look like x=Y*K which means both K and Y are factors of X.



Founder
Joined: 18 Apr 2015
Posts: 7013
Followers: 117
Kudos [?]:
1369
[0], given: 6372

Re: x > y, x and y are positive integers [#permalink]
05 Sep 2018, 11:05
Please follow the rules for posting on the board. https://greprepclub.com/forum/rulesfor ... 1083.htmlUse a proper title to pinpoint the question, use the proper tags, and post the question in the right math subforum: the quantitative comparison under the socalled subsection, multiple choice as well, and so forth Moreover, add the OA. Thank you so much. Regards
_________________
Get the 2 FREE GREPrepclub Tests



Manager
Joined: 08 Dec 2018
Posts: 76
Followers: 0
Kudos [?]:
25
[0], given: 24

Re: number properties [#permalink]
11 Jun 2019, 06:44
abhinavk48 wrote: LethalMonkey wrote: shadowcatradz wrote: x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?
1. x/y = k; k is a positive integer 2. x is a multiple of 6 and y is a multiple of 3 3. Every prime factor of y is also a prime factor of x. 1. This is true only for even number, but x and y can be odd too. 2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15. 3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer. I think you got the first option wrong my friend. What the question wants to know is if x= a* y (where a is any number) they are asking if x is a factor of Y. Now option one states that x/y=K which if you make simpler would look like x=Y*K which means both K and Y are factors of X.  Regarding the option 1: X/y=k where K is a positive INTEGER, We can conclude that x is divisible by y, because the result is an INTEGER (K) , no matter whether x and y are both even or both odd. So, option 1 is correct, right ?
Last edited by jelal123 on 11 Jun 2019, 07:57, edited 1 time in total.



GRE Instructor
Joined: 10 Apr 2015
Posts: 2021
Followers: 62
Kudos [?]:
1836
[0], given: 9

Re: number properties [#permalink]
11 Jun 2019, 06:56
jelal123 wrote:  Regarding the option 1: X/y=k where K is a positive INTEGER, We can conclude that x is divisible by x, because the result is an INTEGER (K) , no matter whether x and y are both even or both odd. So, option 1 is correct, right ? That's correct, if x and y are positive integers, and x/y = some positive integer, then y is a factor of x Cheers, Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails




Re: number properties
[#permalink]
11 Jun 2019, 06:56





